List of unsolved problems in mathematics (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "List of unsolved problems in mathematics" in English language version.

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179doi.org

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96arxiv.org

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90ams.org

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amc-journal.eu (Global: low place; English: low place)

Hägglund, Jonas; Steffen, Eckhard (2014). "Petersen-colorings and some families of snarks". Ars Mathematica Contemporanea. 7 (1): 161–173. doi:10.26493/1855-3974.288.11a. MR 3047618. Archived from the original on 2016-10-03. Retrieved 2016-09-30..

amc12.org (Global: low place; English: low place)

ww.amc12.org

Henle, Frederick V.; Henle, James M. "Squaring the Plane" (PDF). maa.org Mathematics Association of America. Archived (PDF) from the original on 2016-03-24. Retrieved 2016-03-18.

ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

Friedl, Stefan (2014). "Thurston's vision and the virtual fibering theorem for 3-manifolds". Jahresbericht der Deutschen Mathematiker-Vereinigung. 116 (4): 223–241. doi:10.1365/s13291-014-0102-x. MR 3280572. S2CID 56322745.
Thurston, William P. (1982). "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry". Bulletin of the American Mathematical Society. New Series. 6 (3): 357–381. doi:10.1090/S0273-0979-1982-15003-0. MR 0648524.
Brightwell, Graham R.; Felsner, Stefan; Trotter, William T. (1995). "Balancing pairs and the cross product conjecture". Order. 12 (4): 327–349. CiteSeerX 10.1.1.38.7841. doi:10.1007/BF01110378. MR 1368815. S2CID 14793475..
Bruhn, Henning; Schaudt, Oliver (2015). "The journey of the union-closed sets conjecture" (PDF). Graphs and Combinatorics. 31 (6): 2043–2074. arXiv:1309.3297. doi:10.1007/s00373-014-1515-0. MR 3417215. S2CID 17531822. Archived (PDF) from the original on 2017-08-08. Retrieved 2017-07-18.
Murnaghan, F. D. (1938). "The Analysis of the Direct Product of Irreducible Representations of the Symmetric Groups". American Journal of Mathematics. 60 (1): 44–65. doi:10.2307/2371542. JSTOR 2371542. MR 1507301. PMC 1076971. PMID 16577800.
Sarnak, Peter (2011). "Recent progress on the quantum unique ergodicity conjecture". Bulletin of the American Mathematical Society. 48 (2): 211–228. doi:10.1090/S0273-0979-2011-01323-4. MR 2774090.
Dupont, Johan L. (2001). Scissors congruences, group homology and characteristic classes. Nankai Tracts in Mathematics. Vol. 1. World Scientific Publishing Co., Inc., River Edge, NJ. p. 6. doi:10.1142/9789812810335. ISBN 978-981-02-4507-8. MR 1832859. Archived from the original on 2016-04-29..
Zariski, Oscar (1971). "Some open questions in the theory of singularities". Bulletin of the American Mathematical Society. 77 (4): 481–491. doi:10.1090/S0002-9904-1971-12729-5. MR 0277533.
Bereg, Sergey; Dumitrescu, Adrian; Jiang, Minghui (2010). "On covering problems of Rado". Algorithmica. 57 (3): 538–561. doi:10.1007/s00453-009-9298-z. MR 2609053. S2CID 6511998.
Melissen, Hans (1993). "Densest packings of congruent circles in an equilateral triangle". American Mathematical Monthly. 100 (10): 916–925. doi:10.2307/2324212. JSTOR 2324212. MR 1252928.
Brass, Peter; Moser, William; Pach, János (2005). Research Problems in Discrete Geometry. New York: Springer. p. 45. ISBN 978-0387-23815-9. MR 2163782.
Katz, Mikhail G. (2007). Systolic geometry and topology. Mathematical Surveys and Monographs. Vol. 137. American Mathematical Society, Providence, RI. p. 57. doi:10.1090/surv/137. ISBN 978-0-8218-4177-8. MR 2292367.
Rosenberg, Steven (1997). The Laplacian on a Riemannian Manifold: An introduction to analysis on manifolds. London Mathematical Society Student Texts. Vol. 31. Cambridge: Cambridge University Press. pp. 62–63. doi:10.1017/CBO9780511623783. ISBN 978-0-521-46300-3. MR 1462892.
Morris, Walter D.; Soltan, Valeriu (2000). "The Erdős-Szekeres problem on points in convex position—a survey". Bull. Amer. Math. Soc. 37 (4): 437–458. doi:10.1090/S0273-0979-00-00877-6. MR 1779413.; Suk, Andrew (2016). "On the Erdős–Szekeres convex polygon problem". J. Amer. Math. Soc. 30 (4): 1047–1053. arXiv:1604.08657. doi:10.1090/jams/869. S2CID 15732134.
Kalai, Gil (1989). "The number of faces of centrally-symmetric polytopes". Graphs and Combinatorics. 5 (1): 389–391. doi:10.1007/BF01788696. MR 1554357. S2CID 8917264..
Moreno, José Pedro; Prieto-Martínez, Luis Felipe (2021). "El problema de los triángulos de Kobon" [The Kobon triangles problem]. La Gaceta de la Real Sociedad Matemática Española (in Spanish). 24 (1): 111–130. hdl:10486/705416. MR 4225268.
Guy, Richard K. (1983). "An olla-podrida of open problems, often oddly posed". American Mathematical Monthly. 90 (3): 196–200. doi:10.2307/2975549. JSTOR 2975549. MR 1540158.
Matoušek, Jiří (2002). Lectures on discrete geometry. Graduate Texts in Mathematics. Vol. 212. Springer-Verlag, New York. p. 206. doi:10.1007/978-1-4613-0039-7. ISBN 978-0-387-95373-1. MR 1899299.
Brass, Peter; Moser, William; Pach, János (2005). "5.1 The Maximum Number of Unit Distances in the Plane". Research problems in discrete geometry. Springer, New York. pp. 183–190. ISBN 978-0-387-23815-9. MR 2163782.
Dey, Tamal K. (1998). "Improved bounds for planar k-sets and related problems". Discrete & Computational Geometry. 19 (3): 373–382. doi:10.1007/PL00009354. MR 1608878.; Tóth, Gábor (2001). "Point sets with many k-sets". Discrete & Computational Geometry. 26 (2): 187–194. doi:10.1007/s004540010022. MR 1843435..
Atiyah, Michael (2001). "Configurations of points". Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 359 (1784): 1375–1387. Bibcode:2001RSPTA.359.1375A. doi:10.1098/rsta.2001.0840. ISSN 1364-503X. MR 1853626. S2CID 55833332.
Finch, S. R.; Wetzel, J. E. (2004). "Lost in a forest". American Mathematical Monthly. 11 (8): 645–654. doi:10.2307/4145038. JSTOR 4145038. MR 2091541.
Howards, Hugh Nelson (2013). "Forming the Borromean rings out of arbitrary polygonal unknots". Journal of Knot Theory and Its Ramifications. 22 (14): 1350083, 15. arXiv:1406.3370. doi:10.1142/S0218216513500831. MR 3190121. S2CID 119674622.
Miller, Ezra; Pak, Igor (2008). "Metric combinatorics of convex polyhedra: Cut loci and nonoverlapping unfoldings". Discrete & Computational Geometry. 39 (1–3): 339–388. doi:10.1007/s00454-008-9052-3. MR 2383765.. Announced in 2003.
Solomon, Yaar; Weiss, Barak (2016). "Dense forests and Danzer sets". Annales Scientifiques de l'École Normale Supérieure. 49 (5): 1053–1074. arXiv:1406.3807. doi:10.24033/asens.2303. MR 3581810. S2CID 672315.; Conway, John H. Five $1,000 Problems (Update 2017) (PDF). On-Line Encyclopedia of Integer Sequences. Archived (PDF) from the original on 2019-02-13. Retrieved 2019-02-12.
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub (2009). "On nonobtuse simplicial partitions" (PDF). SIAM Review. 51 (2): 317–335. Bibcode:2009SIAMR..51..317B. doi:10.1137/060669073. MR 2505583. S2CID 216078793. Archived (PDF) from the original on 2018-11-04. Retrieved 2018-11-22.. See in particular Conjecture 23, p. 327.
Arutyunyants, G.; Iosevich, A. (2004). "Falconer conjecture, spherical averages and discrete analogs". In Pach, János (ed.). Towards a Theory of Geometric Graphs. Contemp. Math. Vol. 342. Amer. Math. Soc., Providence, RI. pp. 15–24. doi:10.1090/conm/342/06127. ISBN 978-0-8218-3484-8. MR 2065249.
Katz, Nets; Tao, Terence (2002). "Recent progress on the Kakeya conjecture". Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations (El Escorial, 2000). Publicacions Matemàtiques. pp. 161–179. CiteSeerX 10.1.1.241.5335. doi:10.5565/PUBLMAT_Esco02_07. MR 1964819. S2CID 77088.
Brass, Peter; Moser, William; Pach, János (2005). Research problems in discrete geometry. New York: Springer. p. 457. ISBN 978-0-387-29929-7. MR 2163782.
Norwood, Rick; Poole, George; Laidacker, Michael (1992). "The worm problem of Leo Moser". Discrete & Computational Geometry. 7 (2): 153–162. doi:10.1007/BF02187832. MR 1139077.
Senechal, Marjorie; Galiulin, R. V. (1984). "An introduction to the theory of figures: the geometry of E. S. Fedorov". Structural Topology (in English and French) (10): 5–22. hdl:2099/1195. MR 0768703.
Grünbaum, Branko; Shephard, G. C. (1980). "Tilings with congruent tiles". Bulletin of the American Mathematical Society. New Series. 3 (3): 951–973. doi:10.1090/S0273-0979-1980-14827-2. MR 0585178.
Whyte, L. L. (1952). "Unique arrangements of points on a sphere". The American Mathematical Monthly. 59 (9): 606–611. doi:10.2307/2306764. JSTOR 2306764. MR 0050303.
Pleanmani, Nopparat (2019). "Graham's pebbling conjecture holds for the product of a graph and a sufficiently large complete bipartite graph". Discrete Mathematics, Algorithms and Applications. 11 (6): 1950068, 7. doi:10.1142/s179383091950068x. MR 4044549. S2CID 204207428.
Baird, William; Bonato, Anthony (2012). "Meyniel's conjecture on the cop number: a survey". Journal of Combinatorics. 3 (2): 225–238. arXiv:1308.3385. doi:10.4310/JOC.2012.v3.n2.a6. MR 2980752. S2CID 18942362.
Gethner, Ellen (2018). "To the Moon and beyond". In Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.). Graph Theory: Favorite Conjectures and Open Problems, II. Problem Books in Mathematics. Springer International Publishing. pp. 115–133. doi:10.1007/978-3-319-97686-0_11. ISBN 978-3-319-97684-6. MR 3930641.
Chudnovsky, Maria; Seymour, Paul (2014). "Extending the Gyárfás-Sumner conjecture". Journal of Combinatorial Theory. Series B. 105: 11–16. doi:10.1016/j.jctb.2013.11.002. MR 3171779.
Toft, Bjarne (1996). "A survey of Hadwiger's conjecture". Congressus Numerantium. 115: 249–283. MR 1411244..
Hägglund, Jonas; Steffen, Eckhard (2014). "Petersen-colorings and some families of snarks". Ars Mathematica Contemporanea. 7 (1): 161–173. doi:10.26493/1855-3974.288.11a. MR 3047618. Archived from the original on 2016-10-03. Retrieved 2016-09-30..
Molloy, Michael; Reed, Bruce (1998). "A bound on the total chromatic number". Combinatorica. 18 (2): 241–280. CiteSeerX 10.1.1.24.6514. doi:10.1007/PL00009820. MR 1656544. S2CID 9600550..
Fulek, Radoslav; Pach, János (2011). "A computational approach to Conway's thrackle conjecture". Computational Geometry. 44 (6–7): 345–355. arXiv:1002.3904. doi:10.1016/j.comgeo.2011.02.001. MR 2785903..
Gupta, Anupam; Newman, Ilan; Rabinovich, Yuri; Sinclair, Alistair (2004). "Cuts, trees and $\ell _{1}$ -embeddings of graphs". Combinatorica. 24 (2): 233–269. CiteSeerX 10.1.1.698.8978. doi:10.1007/s00493-004-0015-x. MR 2071334. S2CID 46133408.
Hartsfield, Nora; Ringel, Gerhard (2013). Pearls in Graph Theory: A Comprehensive Introduction. Dover Books on Mathematics. Courier Dover Publications. p. 247. ISBN 978-0-486-31552-2. MR 2047103..
Hliněný, Petr (2010). "20 years of Negami's planar cover conjecture" (PDF). Graphs and Combinatorics. 26 (4): 525–536. CiteSeerX 10.1.1.605.4932. doi:10.1007/s00373-010-0934-9. MR 2669457. S2CID 121645. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-10-04..
Nöllenburg, Martin; Prutkin, Roman; Rutter, Ignaz (2016). "On self-approaching and increasing-chord drawings of 3-connected planar graphs". Journal of Computational Geometry. 7 (1): 47–69. arXiv:1409.0315. doi:10.20382/jocg.v7i1a3. MR 3463906. S2CID 1500695.
Ducey, Joshua E. (2017). "On the critical group of the missing Moore graph". Discrete Mathematics. 340 (5): 1104–1109. arXiv:1509.00327. doi:10.1016/j.disc.2016.10.001. MR 3612450. S2CID 28297244.
Blokhuis, A.; Brouwer, A. E. (1988). "Geodetic graphs of diameter two". Geometriae Dedicata. 25 (1–3): 527–533. doi:10.1007/BF00191941. MR 0925851. S2CID 189890651.
Florek, Jan (2010). "On Barnette's conjecture". Discrete Mathematics. 310 (10–11): 1531–1535. doi:10.1016/j.disc.2010.01.018. MR 2601261..
Broersma, Hajo; Patel, Viresh; Pyatkin, Artem (2014). "On toughness and Hamiltonicity of $2K_2$-free graphs" (PDF). Journal of Graph Theory. 75 (3): 244–255. doi:10.1002/jgt.21734. MR 3153119. S2CID 1377980.
Chudnovsky, Maria (2014). "The Erdös–Hajnal conjecture—a survey" (PDF). Journal of Graph Theory. 75 (2): 178–190. arXiv:1606.08827. doi:10.1002/jgt.21730. MR 3150572. S2CID 985458. Zbl 1280.05086. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-09-22..
Kawarabayashi, Ken-ichi; Niu, Jianbing; Zhang, Cun-Quan (2007). "Chords of longest circuits in locally planar graphs". European Journal of Combinatorics. 28 (1): 315–321. doi:10.1016/j.ejc.2005.07.017. MR 2261821.
Akiyama, Jin; Exoo, Geoffrey; Harary, Frank (1981). "Covering and packing in graphs. IV. Linear arboricity". Networks. 11 (1): 69–72. doi:10.1002/net.3230110108. MR 0608921..
Lenz, Hanfried; Ringel, Gerhard (1991). "A brief review on Egmont Köhler's mathematical work". Discrete Mathematics. 97 (1–3): 3–16. doi:10.1016/0012-365X(91)90416-Y. MR 1140782.
Fomin, Fedor V.; Høie, Kjartan (2006). "Pathwidth of cubic graphs and exact algorithms". Information Processing Letters. 97 (5): 191–196. doi:10.1016/j.ipl.2005.10.012. MR 2195217.
Ramachandran, S. (1981). "On a new digraph reconstruction conjecture". Journal of Combinatorial Theory. Series B. 31 (2): 143–149. doi:10.1016/S0095-8956(81)80019-6. MR 0630977.
Kühn, Daniela; Mycroft, Richard; Osthus, Deryk (2011). "A proof of Sumner's universal tournament conjecture for large tournaments". Proceedings of the London Mathematical Society. Third Series. 102 (4): 731–766. arXiv:1010.4430. doi:10.1112/plms/pdq035. MR 2793448. S2CID 119169562. Zbl 1218.05034..
Tuza, Zsolt (1990). "A conjecture on triangles of graphs". Graphs and Combinatorics. 6 (4): 373–380. doi:10.1007/BF01787705. MR 1092587. S2CID 38821128.
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. (2012). "Vizing's conjecture: a survey and recent results". Journal of Graph Theory. 69 (1): 46–76. CiteSeerX 10.1.1.159.7029. doi:10.1002/jgt.20565. MR 2864622. S2CID 9120720..
Singmaster, David (1971). "Research Problems: How often does an integer occur as a binomial coefficient?". American Mathematical Monthly. 78 (4): 385–386. doi:10.2307/2316907. JSTOR 2316907. MR 1536288..
Guo, Song; Sun, Zhi-Wei (2005). "On odd covering systems with distinct moduli". Advances in Applied Mathematics. 35 (2): 182–187. arXiv:math/0412217. doi:10.1016/j.aam.2005.01.004. MR 2152886. S2CID 835158.
Aigner, Martin (2013). Markov's theorem and 100 years of the uniqueness conjecture. Cham: Springer. doi:10.1007/978-3-319-00888-2. ISBN 978-3-319-00887-5. MR 3098784.
Kuperberg, Greg (1994). "Quadrisecants of knots and links". Journal of Knot Theory and Its Ramifications. 3: 41–50. arXiv:math/9712205. doi:10.1142/S021821659400006X. MR 1265452. S2CID 6103528.
Merel, Loïc (1996). ""Bornes pour la torsion des courbes elliptiques sur les corps de nombres" [Bounds for the torsion of elliptic curves over number fields]". Inventiones Mathematicae. 124 (1): 437–449. Bibcode:1996InMat.124..437M. doi:10.1007/s002220050059. MR 1369424. S2CID 3590991.
Cohen, Stephen D.; Fried, Michael D. (1995). "Lenstra's proof of the Carlitz–Wan conjecture on exceptional polynomials: an elementary version". Finite Fields and Their Applications. 1 (3): 372–375. doi:10.1006/ffta.1995.1027. MR 1341953.
Stanley, Richard P. (1994). "A survey of Eulerian posets". In Bisztriczky, T.; McMullen, P.; Schneider, R.; Weiss, A. IviÄ‡ (eds.). Polytopes: abstract, convex and computational (Scarborough, ON, 1993). NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences. Vol. 440. Dordrecht: Kluwer Academic Publishers. pp. 301–333. MR 1322068.. See in particular p. 316.
Green, Ben (2004). "The Cameron–Erdős conjecture". The Bulletin of the London Mathematical Society. 36 (6): 769–778. arXiv:math.NT/0304058. doi:10.1112/S0024609304003650. MR 2083752. S2CID 119615076.
Kerz, Moritz; Strunk, Florian; Tamme, Georg (2018). "Algebraic K-theory and descent for blow-ups". Inventiones Mathematicae. 211 (2): 523–577. arXiv:1611.08466. Bibcode:2018InMat.211..523K. doi:10.1007/s00222-017-0752-2. MR 3748313. S2CID 253741858.
Connelly, Robert; Demaine, Erik D.; Rote, Günter (2003). "Straightening polygonal arcs and convexifying polygonal cycles" (PDF). Discrete & Computational Geometry. 30 (2): 205–239. doi:10.1007/s00454-003-0006-7. MR 1931840. S2CID 40382145.
Shestakov, Ivan P.; Umirbaev, Ualbai U. (2004). "The tame and the wild automorphisms of polynomial rings in three variables". Journal of the American Mathematical Society. 17 (1): 197–227. doi:10.1090/S0894-0347-03-00440-5. MR 2015334.
Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio (2002). "Proof of the double bubble conjecture". Annals of Mathematics. Second Series. 155 (2): 459–489. arXiv:math/0406017. doi:10.2307/3062123. hdl:10481/32449. JSTOR 3062123. MR 1906593.
Teixidor i Bigas, Montserrat; Russo, Barbara (1999). "On a conjecture of Lange". Journal of Algebraic Geometry. 8 (3): 483–496. arXiv:alg-geom/9710019. Bibcode:1997alg.geom.10019R. ISSN 1056-3911. MR 1689352.
Huang, C.; Kotzig, A.; Rosa, A. (1982). "Further results on tree labellings". Utilitas Mathematica. 21: 31–48. MR 0668845..
Shitov, Yaroslav (1 September 2019). "Counterexamples to Hedetniemi's conjecture". Annals of Mathematics. 190 (2): 663–667. arXiv:1905.02167. doi:10.4007/annals.2019.190.2.6. JSTOR 10.4007/annals.2019.190.2.6. MR 3997132. S2CID 146120733. Zbl 1451.05087. Retrieved 19 July 2021.
Mineyev, Igor (2012). "Submultiplicativity and the Hanna Neumann conjecture". Annals of Mathematics. Second Series. 175 (1): 393–414. doi:10.4007/annals.2012.175.1.11. MR 2874647.
Lafforgue, Laurent (1998). "Chtoucas de Drinfeld et applications" [Drinfelʹd shtukas and applications]. Documenta Mathematica (in French). II: 563–570. ISSN 1431-0635. MR 1648105. Archived from the original on 2018-04-27. Retrieved 2016-03-18.
Heule, Marijn J. H.; Kullmann, Oliver; Marek, Victor W. (2016). "Solving and Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer". In Creignou, N.; Le Berre, D. (eds.). Theory and Applications of Satisfiability Testing – SAT 2016. Lecture Notes in Computer Science. Vol. 9710. Springer, [Cham]. pp. 228–245. arXiv:1605.00723. doi:10.1007/978-3-319-40970-2_15. ISBN 978-3-319-40969-6. MR 3534782. S2CID 7912943.
Geisser, Thomas; Levine, Marc (2001). "The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky". Journal für die Reine und Angewandte Mathematik. 2001 (530): 55–103. doi:10.1515/crll.2001.006. MR 1807268.
Lewis, A. S.; Parrilo, P. A.; Ramana, M. V. (2005). "The Lax conjecture is true". Proceedings of the American Mathematical Society. 133 (9): 2495–2499. doi:10.1090/S0002-9939-05-07752-X. MR 2146191. S2CID 17436983.
Baruch, Ehud Moshe (2003). "A proof of Kirillov's conjecture". Annals of Mathematics. Second Series. 158 (1): 207–252. doi:10.4007/annals.2003.158.207. MR 1999922.
Haiman, Mark (2001). "Hilbert schemes, polygraphs and the Macdonald positivity conjecture". Journal of the American Mathematical Society. 14 (4): 941–1006. doi:10.1090/S0894-0347-01-00373-3. MR 1839919. S2CID 9253880.
Auscher, Pascal; Hofmann, Steve; Lacey, Michael; McIntosh, Alan; Tchamitchian, Ph. (2002). "The solution of the Kato square root problem for second order elliptic operators on $\mathbb {R} ^{n}$ ". Annals of Mathematics. Second Series. 156 (2): 633–654. doi:10.2307/3597201. JSTOR 3597201. MR 1933726.
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard (2001). "On the modularity of elliptic curves over Q: wild 3-adic exercises". Journal of the American Mathematical Society. 14 (4): 843–939. doi:10.1090/S0894-0347-01-00370-8. ISSN 0894-0347. MR 1839918.
Atiyah, Michael (2000). "The geometry of classical particles". In Yau, Shing-Tung (ed.). Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer. Surveys in Differential Geometry. Vol. 7. Somerville, Massachusetts: International Press. pp. 1–15. doi:10.4310/SDG.2002.v7.n1.a1. MR 1919420.

ams.org

Austin, David (August 2016). "Game. SET. Polynomial". Feature column. American Mathematical Society..
"News from 2007". American Mathematical Society. AMS. 31 December 2007. Archived from the original on 17 November 2015. Retrieved 2015-11-13. The 2007 prize also recognizes Green for "his many outstanding results including his resolution of the Cameron-Erdős conjecture..."
Song, Antoine. "Existence of infinitely many minimal hypersurfaces in closed manifolds" (PDF). www.ams.org. Retrieved 19 June 2021. ..I will present a solution of the conjecture, which builds on min-max methods developed by F. C. Marques and A. Neves..
"2011 Cole Prize in Number Theory" (PDF). Notices of the AMS. 58 (4): 610–611. ISSN 1088-9477. OCLC 34550461. Archived (PDF) from the original on 2015-11-06. Retrieved 2015-11-12.
"Bombieri and Tao Receive King Faisal Prize" (PDF). Notices of the AMS. 57 (5): 642–643. May 2010. ISSN 1088-9477. OCLC 34550461. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-03-18. Working with Ben Green, he proved there are arbitrarily long arithmetic progressions of prime numbers—a result now known as the Green–Tao theorem.
Metsänkylä, Tauno (5 September 2003). "Catalan's conjecture: another old diophantine problem solved" (PDF). Bulletin of the American Mathematical Society. 41 (1): 43–57. doi:10.1090/s0273-0979-03-00993-5. ISSN 0273-0979. Archived (PDF) from the original on 4 March 2016. Retrieved 13 November 2015. The conjecture, which dates back to 1844, was recently proven by the Swiss mathematician Preda Mihăilescu.
Luca, Florian (2000). "On a conjecture of Erdős and Stewart" (PDF). Mathematics of Computation. 70 (234): 893–897. Bibcode:2001MaCom..70..893L. doi:10.1090/s0025-5718-00-01178-9. Archived (PDF) from the original on 2016-04-02. Retrieved 2016-03-18.

arxiv.org (Global: 69^th place; English: 59^th place)

Khukhro, Evgeny I.; Mazurov, Victor D. (2019). Unsolved Problems in Group Theory. The Kourovka Notebook. arXiv:1401.0300v16.
Tao, Terence (2018). "Some remarks on the lonely runner conjecture". Contributions to Discrete Mathematics. 13 (2): 1–31. arXiv:1701.02048. doi:10.11575/cdm.v13i2.62728.
González-Jiménez, Enrique; Xarles, Xavier (2014). "On a conjecture of Rudin on squares in arithmetic progressions". LMS Journal of Computation and Mathematics. 17 (1): 58–76. arXiv:1301.5122. doi:10.1112/S1461157013000259. S2CID 11615385.
Bruhn, Henning; Schaudt, Oliver (2015). "The journey of the union-closed sets conjecture" (PDF). Graphs and Combinatorics. 31 (6): 2043–2074. arXiv:1309.3297. doi:10.1007/s00373-014-1515-0. MR 3417215. S2CID 17531822. Archived (PDF) from the original on 2017-08-08. Retrieved 2017-07-18.
Kaloshin, Vadim; Sorrentino, Alfonso (2018). "On the local Birkhoff conjecture for convex billiards". Annals of Mathematics. 188 (1): 315–380. arXiv:1612.09194. doi:10.4007/annals.2018.188.1.6. S2CID 119171182.
Maulik, Davesh; Nekrasov, Nikita; Okounov, Andrei; Pandharipande, Rahul (2004-06-05). Gromov–Witten theory and Donaldson–Thomas theory, I. arXiv:math/0312059. Bibcode:2003math.....12059M.
Hales, Thomas (2017). The Reinhardt conjecture as an optimal control problem. arXiv:1703.01352.
Ghosh, Subir Kumar; Goswami, Partha P. (2013). "Unsolved problems in visibility graphs of points, segments, and polygons". ACM Computing Surveys. 46 (2): 22:1–22:29. arXiv:1012.5187. doi:10.1145/2543581.2543589. S2CID 8747335.
Morris, Walter D.; Soltan, Valeriu (2000). "The Erdős-Szekeres problem on points in convex position—a survey". Bull. Amer. Math. Soc. 37 (4): 437–458. doi:10.1090/S0273-0979-00-00877-6. MR 1779413.; Suk, Andrew (2016). "On the Erdős–Szekeres convex polygon problem". J. Amer. Math. Soc. 30 (4): 1047–1053. arXiv:1604.08657. doi:10.1090/jams/869. S2CID 15732134.
Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019). "More Turán-type theorems for triangles in convex point sets". Electronic Journal of Combinatorics. 26 (1): P1.8. arXiv:1706.10193. Bibcode:2017arXiv170610193A. doi:10.37236/7224. Archived from the original on 2019-02-18. Retrieved 2019-02-18.
Howards, Hugh Nelson (2013). "Forming the Borromean rings out of arbitrary polygonal unknots". Journal of Knot Theory and Its Ramifications. 22 (14): 1350083, 15. arXiv:1406.3370. doi:10.1142/S0218216513500831. MR 3190121. S2CID 119674622.
Solomon, Yaar; Weiss, Barak (2016). "Dense forests and Danzer sets". Annales Scientifiques de l'École Normale Supérieure. 49 (5): 1053–1074. arXiv:1406.3807. doi:10.24033/asens.2303. MR 3581810. S2CID 672315.; Conway, John H. Five $1,000 Problems (Update 2017) (PDF). On-Line Encyclopedia of Integer Sequences. Archived (PDF) from the original on 2019-02-13. Retrieved 2019-02-12.
Steininger, Jakob; Yurkevich, Sergey (December 27, 2021). An algorithmic approach to Rupert's problem. arXiv:2112.13754.
Steininger, Jakob; Yurkevich, Sergey (2025). A convex polyhedron without Rupert's property. arXiv:2508.18475.
Klostermeyer, W.; Mynhardt, C. (2015). "Protecting a graph with mobile guards". Applicable Analysis and Discrete Mathematics. 10: 21. arXiv:1407.5228. doi:10.2298/aadm151109021k..
Baird, William; Bonato, Anthony (2012). "Meyniel's conjecture on the cop number: a survey". Journal of Combinatorics. 3 (2): 225–238. arXiv:1308.3385. doi:10.4310/JOC.2012.v3.n2.a6. MR 2980752. S2CID 18942362.
Barát, János; Tóth, Géza (2010). "Towards the Albertson Conjecture". Electronic Journal of Combinatorics. 17 (1): R73. arXiv:0909.0413. Bibcode:2009arXiv0909.0413B. doi:10.37236/345..
Fulek, Radoslav; Pach, János (2011). "A computational approach to Conway's thrackle conjecture". Computational Geometry. 44 (6–7): 345–355. arXiv:1002.3904. doi:10.1016/j.comgeo.2011.02.001. MR 2785903..
Nöllenburg, Martin; Prutkin, Roman; Rutter, Ignaz (2016). "On self-approaching and increasing-chord drawings of 3-connected planar graphs". Journal of Computational Geometry. 7 (1): 47–69. arXiv:1409.0315. doi:10.20382/jocg.v7i1a3. MR 3463906. S2CID 1500695.
Ducey, Joshua E. (2017). "On the critical group of the missing Moore graph". Discrete Mathematics. 340 (5): 1104–1109. arXiv:1509.00327. doi:10.1016/j.disc.2016.10.001. MR 3612450. S2CID 28297244.
Chudnovsky, Maria (2014). "The Erdös–Hajnal conjecture—a survey" (PDF). Journal of Graph Theory. 75 (2): 178–190. arXiv:1606.08827. doi:10.1002/jgt.21730. MR 3150572. S2CID 985458. Zbl 1280.05086. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-09-22..
Kühn, Daniela; Mycroft, Richard; Osthus, Deryk (2011). "A proof of Sumner's universal tournament conjecture for large tournaments". Proceedings of the London Mathematical Society. Third Series. 102 (4): 731–766. arXiv:1010.4430. doi:10.1112/plms/pdq035. MR 2793448. S2CID 119169562. Zbl 1218.05034..
Kitaev, Sergey (2017-05-16). A Comprehensive Introduction to the Theory of Word-Representable Graphs. International Conference on Developments in Language Theory. arXiv:1705.05924v1. doi:10.1007/978-3-319-62809-7_2.
Marc Elliot Glen (2016). "Colourability and word-representability of near-triangulations". arXiv:1605.01688 [math.CO].
Kitaev, Sergey (2014-03-06). "On graphs with representation number 3". arXiv:1403.1616v1 [math.CO].
Glen, Marc; Kitaev, Sergey; Pyatkin, Artem (2018). "On the representation number of a crown graph". Discrete Applied Mathematics. 244: 89–93. arXiv:1609.00674. doi:10.1016/j.dam.2018.03.013. S2CID 46925617.
Peretz, Assaf (2006). "Geometry of forking in simple theories". Journal of Symbolic Logic. 71 (1): 347–359. arXiv:math/0412356. doi:10.2178/jsl/1140641179. S2CID 9380215.
Cherlin, Gregory; Shelah, Saharon (May 2007). "Universal graphs with a forbidden subtree". Journal of Combinatorial Theory. Series B. 97 (3): 293–333. arXiv:math/0512218. doi:10.1016/j.jctb.2006.05.008. S2CID 10425739.
Shelah, Saharon (1999). "Borel sets with large squares". Fundamenta Mathematicae. 159 (1): 1–50. arXiv:math/9802134. Bibcode:1998math......2134S. doi:10.4064/fm-159-1-1-50. S2CID 8846429.
Shelah, Saharon (2009). "Introduction to classification theory for abstract elementary classes". arXiv:0903.3428 [math.LO].
Malliaris, Maryanthe; Shelah, Saharon (10 August 2012). "A Dividing Line Within Simple Unstable Theories". arXiv:1208.2140 [math.LO]. Malliaris, M.; Shelah, S. (2012). "A Dividing Line within Simple Unstable Theories". arXiv:1208.2140 [math.LO].
Guo, Song; Sun, Zhi-Wei (2005). "On odd covering systems with distinct moduli". Advances in Applied Mathematics. 35 (2): 182–187. arXiv:math/0412217. doi:10.1016/j.aam.2005.01.004. MR 2152886. S2CID 835158.
Waldschmidt, Michel (2003-12-24). "Open Diophantine Problems". arXiv:math/0312440.
Huisman, Sander G. (2016). "Newer sums of three cubes". arXiv:1604.07746 [math.NT].
Dobson, J. B. (1 April 2017). "On Lerch's formula for the Fermat quotient". p. 23. arXiv:1103.3907v6 [math.NT].{{cite arXiv}}: CS1 maint: overridden setting (link)
Kuperberg, Greg (1994). "Quadrisecants of knots and links". Journal of Knot Theory and Its Ramifications. 3: 41–50. arXiv:math/9712205. doi:10.1142/S021821659400006X. MR 1265452. S2CID 6103528.
Burklund, Robert; Hahn, Jeremy; Levy, Ishan; Schlank, Tomer (2023). "K-theoretic counterexamples to Ravenel's telescope conjecture". arXiv:2310.17459 [math.AT].
Dimitrov, Vessilin; Gao, Ziyang; Habegger, Philipp (2021). "Uniformity in Mordell–Lang for curves" (PDF). Annals of Mathematics. 194: 237–298. arXiv:2001.10276. doi:10.4007/annals.2021.194.1.4. S2CID 210932420.
Guan, Qi'an; Zhou, Xiangyu (2015). "A solution of an $L^{2}$ extension problem with optimal estimate and applications". Annals of Mathematics. 181 (3): 1139–1208. arXiv:1310.7169. doi:10.4007/annals.2015.181.3.6. JSTOR 24523356. S2CID 56205818.
Agol, Ian (2004). "Tameness of hyperbolic 3-manifolds". arXiv:math/0405568.
Kurdyka, Krzysztof; Mostowski, Tadeusz; Parusiński, Adam (2000). "Proof of the gradient conjecture of R. Thom". Annals of Mathematics. 152 (3): 763–792. arXiv:math/9906212. doi:10.2307/2661354. JSTOR 2661354. S2CID 119137528.
Moreira, Joel; Richter, Florian K.; Robertson, Donald (2019). "A proof of a sumset conjecture of Erdős". Annals of Mathematics. 189 (2): 605–652. arXiv:1803.00498. doi:10.4007/annals.2019.189.2.4. S2CID 119158401.
Santos, Franciscos (2012). "A counterexample to the Hirsch conjecture". Annals of Mathematics. 176 (1): 383–412. arXiv:1006.2814. doi:10.4007/annals.2012.176.1.7. S2CID 15325169.
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron (2009-07-14). "Proof of Ira Gessel's lattice path conjecture". Proceedings of the National Academy of Sciences. 106 (28): 11502–11505. arXiv:0806.4300. Bibcode:2009PNAS..10611502K. doi:10.1073/pnas.0901678106. ISSN 0027-8424. PMC 2710637.
Green, Ben (2004). "The Cameron–Erdős conjecture". The Bulletin of the London Mathematical Society. 36 (6): 769–778. arXiv:math.NT/0304058. doi:10.1112/S0024609304003650. MR 2083752. S2CID 119615076.
Martí-Pete, David; Rempe, Lasse; Waterman, James (2024-10-30). "Eremenko's conjecture, wandering Lakes of Wada, and maverick points". arXiv:2108.10256 [math.DS].
Brown, Aaron; Fisher, David; Hurtado, Sebastian (2017-10-07). "Zimmer's conjecture for actions of SL(𝑚,ℤ)". arXiv:1710.02735 [math.DS].
Xue, Jinxin (2014). "Noncollision Singularities in a Planar Four-body Problem". arXiv:1409.0048 [math.DS].
Guilfoyle, B.; Klingenberg, W. (2025). "The three obdurate conjectures of differential geometry". Math. Proc. R. Ir. Acad. 125A: 9–17. arXiv:2502.11716. doi:10.1353/mpr.2025.a968272.
Larson, Eric (2017). "The Maximal Rank Conjecture". arXiv:1711.04906 [math.AG].
Kerz, Moritz; Strunk, Florian; Tamme, Georg (2018). "Algebraic K-theory and descent for blow-ups". Inventiones Mathematicae. 211 (2): 523–577. arXiv:1611.08466. Bibcode:2018InMat.211..523K. doi:10.1007/s00222-017-0752-2. MR 3748313. S2CID 253741858.
Marques, Fernando C.; Neves, André (2013). "Min-max theory and the Willmore conjecture". Annals of Mathematics. 179 (2): 683–782. arXiv:1202.6036. doi:10.4007/annals.2014.179.2.6. S2CID 50742102.
Guth, Larry; Katz, Nets Hawk (2015). "On the Erdos distinct distance problem in the plane". Annals of Mathematics. 181 (1): 155–190. arXiv:1011.4105. doi:10.4007/annals.2015.181.1.2.
Brock, Jeffrey F.; Canary, Richard D.; Minsky, Yair N. (2012). "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture". Annals of Mathematics. 176 (1): 1–149. arXiv:math/0412006. doi:10.4007/annals.2012.176.1.1.
Faber, C.; Pandharipande, R. (2003). "Hodge integrals, partition matrices, and the $\lambda _{g}$ conjecture". Ann. of Math. 2. 157 (1): 97–124. arXiv:math.AG/9908052. doi:10.4007/annals.2003.157.97.
Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio (2002). "Proof of the double bubble conjecture". Annals of Mathematics. Second Series. 155 (2): 459–489. arXiv:math/0406017. doi:10.2307/3062123. hdl:10481/32449. JSTOR 3062123. MR 1906593.
Hales, Thomas C. (2001). "The Honeycomb Conjecture". Discrete & Computational Geometry. 25: 1–22. arXiv:math/9906042. doi:10.1007/s004540010071.
Teixidor i Bigas, Montserrat; Russo, Barbara (1999). "On a conjecture of Lange". Journal of Algebraic Geometry. 8 (3): 483–496. arXiv:alg-geom/9710019. Bibcode:1997alg.geom.10019R. ISSN 1056-3911. MR 1689352.
Ullmo, E (1998). "Positivité et Discrétion des Points Algébriques des Courbes". Annals of Mathematics. 147 (1): 167–179. arXiv:alg-geom/9606017. doi:10.2307/120987. JSTOR 120987. S2CID 119717506. Zbl 0934.14013.
Hales, Thomas; Adams, Mark; Bauer, Gertrud; Dang, Dat Tat; Harrison, John; Hoang, Le Truong; Kaliszyk, Cezary; Magron, Victor; McLaughlin, Sean; Nguyen, Tat Thang; Nguyen, Quang Truong; Nipkow, Tobias; Obua, Steven; Pleso, Joseph; Rute, Jason; Solovyev, Alexey; Ta, Thi Hoai An; Tran, Nam Trung; Trieu, Thi Diep; Urban, Josef; Ky, Vu; Zumkeller, Roland (2017). "A formal proof of the Kepler conjecture". Forum of Mathematics, Pi. 5 e2. arXiv:1501.02155. doi:10.1017/fmp.2017.1.
Hales, Thomas C.; McLaughlin, Sean (2010). "The dodecahedral conjecture". Journal of the American Mathematical Society. 23 (2): 299–344. arXiv:math/9811079. Bibcode:2010JAMS...23..299H. doi:10.1090/S0894-0347-09-00647-X.
Park, Jinyoung; Pham, Huy Tuan (2022-03-31). "A Proof of the Kahn-Kalai Conjecture". arXiv:2203.17207 [math.CO].
Dujmović, Vida; Eppstein, David; Hickingbotham, Robert; Morin, Pat; Wood, David R. (August 2021). "Stack-number is not bounded by queue-number". Combinatorica. 42 (2): 151–164. arXiv:2011.04195. doi:10.1007/s00493-021-4585-7. S2CID 226281691.
Shitov, Yaroslav (1 September 2019). "Counterexamples to Hedetniemi's conjecture". Annals of Mathematics. 190 (2): 663–667. arXiv:1905.02167. doi:10.4007/annals.2019.190.2.6. JSTOR 10.4007/annals.2019.190.2.6. MR 3997132. S2CID 146120733. Zbl 1451.05087. Retrieved 19 July 2021.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture I: Special separations". Journal of Combinatorial Theory, Series B. 144: 197–224. arXiv:1511.05020. doi:10.1016/j.jctb.2019.11.008. ISSN 0095-8956. S2CID 29791394.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture II: 2-Vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 225–264. arXiv:1602.07557. doi:10.1016/j.jctb.2019.11.007. ISSN 0095-8956. S2CID 220369443.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-09). "The Kelmans-Seymour conjecture III: 3-vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 265–308. arXiv:1609.05747. doi:10.1016/j.jctb.2019.11.006. ISSN 0095-8956. S2CID 119625722.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-19). "The Kelmans-Seymour conjecture IV: A proof". Journal of Combinatorial Theory, Series B. 144: 309–358. arXiv:1612.07189. doi:10.1016/j.jctb.2019.12.002. ISSN 0095-8956. S2CID 119175309.
Zang, Wenan; Jing, Guangming; Chen, Guantao (2019-01-29). "Proof of the Goldberg–Seymour Conjecture on Edge-Colorings of Multigraphs". arXiv:1901.10316v1 [math.CO].
Huh, June (2012). "Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs". Journal of the American Mathematical Society. 25 (3): 907–927. arXiv:1008.4749. doi:10.1090/S0894-0347-2012-00731-0.
Aharoni, Ron; Berger, Eli (2009). "Menger's theorem for infinite graphs". Inventiones Mathematicae. 176 (1): 1–62. arXiv:math/0509397. Bibcode:2009InMat.176....1A. doi:10.1007/s00222-008-0157-3.
Chudnovsky, Maria; Robertson, Neil; Seymour, Paul; Thomas, Robin (2002). "The strong perfect graph theorem". Annals of Mathematics. 164: 51–229. arXiv:math/0212070. Bibcode:2002math.....12070C. doi:10.4007/annals.2006.164.51. S2CID 119151552.
Pila, Jonathan; Shankar, Ananth; Tsimerman, Jacob; Esnault, Hélène; Groechenig, Michael (2021-09-17). "Canonical Heights on Shimura Varieties and the André-Oort Conjecture". arXiv:2109.08788 [math.NT].
Bourgain, Jean; Ciprian, Demeter; Larry, Guth (2015). "Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three". Annals of Mathematics. 184 (2): 633–682. arXiv:1512.01565. Bibcode:2015arXiv151201565B. doi:10.4007/annals.2016.184.2.7. hdl:1721.1/115568. S2CID 43929329.
Helfgott, Harald A. (2013). "Major arcs for Goldbach's theorem". arXiv:1305.2897 [math.NT].
Helfgott, Harald A. (2012). "Minor arcs for Goldbach's problem". arXiv:1205.5252 [math.NT].
Helfgott, Harald A. (2013). "The ternary Goldbach conjecture is true". arXiv:1312.7748 [math.NT].
Maynard, James (2015-01-01). "Small gaps between primes". Annals of Mathematics: 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. ISSN 0003-486X. S2CID 55175056.
Croot, Ernest S. III (2000). Unit Fractions. Ph.D. thesis. University of Georgia, Athens. Croot, Ernest S. III (2003). "On a coloring conjecture about unit fractions". Annals of Mathematics. 157 (2): 545–556. arXiv:math.NT/0311421. Bibcode:2003math.....11421C. doi:10.4007/annals.2003.157.545. S2CID 13514070.
Lee, Choongbum (2017). "Ramsey numbers of degenerate graphs". Annals of Mathematics. 185 (3): 791–829. arXiv:1505.04773. doi:10.4007/annals.2017.185.3.2. S2CID 7974973.
Heule, Marijn J. H.; Kullmann, Oliver; Marek, Victor W. (2016). "Solving and Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer". In Creignou, N.; Le Berre, D. (eds.). Theory and Applications of Satisfiability Testing – SAT 2016. Lecture Notes in Computer Science. Vol. 9710. Springer, [Cham]. pp. 228–245. arXiv:1605.00723. doi:10.1007/978-3-319-40970-2_15. ISBN 978-3-319-40969-6. MR 3534782. S2CID 7912943.
Agol, Ian (2013). "The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves, and Jason Manning)" (PDF). Documenta Mathematica. 18: 1045–1087. arXiv:1204.2810v1. doi:10.4171/dm/421. S2CID 255586740.
Brendle, Simon (2013). "Embedded minimal tori in $S^{3}$ and the Lawson conjecture". Acta Mathematica. 211 (2): 177–190. arXiv:1203.6597. doi:10.1007/s11511-013-0101-2.
Kahn, Jeremy; Markovic, Vladimir (2015). "The good pants homology and the Ehrenpreis conjecture". Annals of Mathematics. 182 (1): 1–72. arXiv:1101.1330. doi:10.4007/annals.2015.182.1.1.
Austin, Tim (December 2013). "Rational group ring elements with kernels having irrational dimension". Proceedings of the London Mathematical Society. 107 (6): 1424–1448. arXiv:0909.2360. Bibcode:2009arXiv0909.2360A. doi:10.1112/plms/pdt029. S2CID 115160094.
Lurie, Jacob (2009). "On the classification of topological field theories". Current Developments in Mathematics. 2008: 129–280. arXiv:0905.0465. Bibcode:2009arXiv0905.0465L. doi:10.4310/cdm.2008.v2008.n1.a3. S2CID 115162503.
Morgan, John; Tian, Gang (2008). "Completion of the Proof of the Geometrization Conjecture". arXiv:0809.4040 [math.DG].
Tao, Terence (2015). "The Erdős discrepancy problem". arXiv:1509.05363v5 [math.CO].
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken (1 December 2015). "Proof of the umbral moonshine conjecture". Research in the Mathematical Sciences. 2 (1): 26. arXiv:1503.01472. Bibcode:2015arXiv150301472D. doi:10.1186/s40687-015-0044-7. S2CID 43589605.
Cheeger, Jeff; Naber, Aaron (2015). "Regularity of Einstein Manifolds and the Codimension 4 Conjecture". Annals of Mathematics. 182 (3): 1093–1165. arXiv:1406.6534. doi:10.4007/annals.2015.182.3.5.
Newman, Alantha; Nikolov, Aleksandar (2011). "A counterexample to Beck's conjecture on the discrepancy of three permutations". arXiv:1104.2922 [cs.DM].
Mattman, Thomas W.; Solis, Pablo (2009). "A proof of the Kauffman-Harary Conjecture". Algebraic & Geometric Topology. 9 (4): 2027–2039. arXiv:0906.1612. Bibcode:2009arXiv0906.1612M. doi:10.2140/agt.2009.9.2027. S2CID 8447495.
Kahn, Jeremy; Markovic, Vladimir (2012). "Immersing almost geodesic surfaces in a closed hyperbolic three manifold". Annals of Mathematics. 175 (3): 1127–1190. arXiv:0910.5501. doi:10.4007/annals.2012.175.3.4.
Lu, Zhiqin (September 2011) [2007]. "Normal Scalar Curvature Conjecture and its applications". Journal of Functional Analysis. 261 (5): 1284–1308. arXiv:0711.3510. doi:10.1016/j.jfa.2011.05.002.
Voevodsky, Vladimir (2003). "Reduced power operations in motivic cohomology". Publications Mathématiques de l'IHÉS. 98: 1–57. arXiv:math/0107109. CiteSeerX 10.1.1.170.4427. doi:10.1007/s10240-003-0009-z. S2CID 8172797. Archived from the original on 2017-07-28. Retrieved 2016-03-18.
Barbieri-Viale, Luca; Rosenschon, Andreas; Saito, Morihiko (2003). "Deligne's Conjecture on 1-Motives". Annals of Mathematics. 158 (2): 593–633. arXiv:math/0102150. doi:10.4007/annals.2003.158.593.

asone.ai (Global: low place; English: low place)

"Bounded gaps between primes – Polymath Wiki". asone.ai. Archived from the original on 2020-12-08. Retrieved 2021-08-27.

au.dk (Global: 8,222^nd place; English: 8,022^nd place)

home.math.au.dk

Dupont, Johan L. (2001). Scissors congruences, group homology and characteristic classes. Nankai Tracts in Mathematics. Vol. 1. World Scientific Publishing Co., Inc., River Edge, NJ. p. 6. doi:10.1142/9789812810335. ISBN 978-981-02-4507-8. MR 1832859. Archived from the original on 2016-04-29..

blendedlearningmath.com (Global: low place; English: low place)

"Math Problems Guide: From Simple to Hardest Math Problems Tips & Examples". blendedlearningmath. Retrieved 2024-11-28.

books.google.com (Global: 3^rd place; English: 3^rd place)

Guy, Richard (1994). Unsolved Problems in Number Theory (2nd ed.). Springer. p. vii. ISBN 978-1-4899-3585-4. Archived from the original on 2019-03-23. Retrieved 2016-09-22..
RSFSR, MV i SSO; Russie), Uralʹskij gosudarstvennyj universitet im A. M. Gorʹkogo (Ekaterinbourg (1969). Свердловская тетрадь: нерешенные задачи теории подгрупп (in Russian). S. l.
Conway, John H.; Neil J.A. Sloane (1999). Sphere Packings, Lattices and Groups (3rd ed.). New York: Springer-Verlag. pp. 21–22. ISBN 978-0-387-98585-5.
Brass, Peter; Moser, William; Pach, János (2005). Research Problems in Discrete Geometry. New York: Springer. p. 45. ISBN 978-0387-23815-9. MR 2163782.
Katz, Mikhail G. (2007). Systolic geometry and topology. Mathematical Surveys and Monographs. Vol. 137. American Mathematical Society, Providence, RI. p. 57. doi:10.1090/surv/137. ISBN 978-0-8218-4177-8. MR 2292367.
Rosenberg, Steven (1997). The Laplacian on a Riemannian Manifold: An introduction to analysis on manifolds. London Mathematical Society Student Texts. Vol. 31. Cambridge: Cambridge University Press. pp. 62–63. doi:10.1017/CBO9780511623783. ISBN 978-0-521-46300-3. MR 1462892.
Weaire, Denis, ed. (1997). The Kelvin Problem. CRC Press. p. 1. ISBN 978-0-7484-0632-6.
Brass, Peter; Moser, William; Pach, János (2005). Research problems in discrete geometry. New York: Springer. p. 457. ISBN 978-0-387-29929-7. MR 2163782.
Hartsfield, Nora; Ringel, Gerhard (2013). Pearls in Graph Theory: A Comprehensive Introduction. Dover Books on Mathematics. Courier Dover Publications. p. 247. ISBN 978-0-486-31552-2. MR 2047103..
Spinrad, Jeremy P. (2003). "2. Implicit graph representation". Efficient Graph Representations. American Mathematical Soc. pp. 17–30. ISBN 978-0-8218-2815-1..
Waldschmidt, Michel (2013). Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables. Springer. pp. 14, 16. ISBN 978-3-662-11569-5.
Ribenboim, P. (2006). Die Welt der Primzahlen. Springer-Lehrbuch (in German) (2nd ed.). Springer. pp. 242–243. doi:10.1007/978-3-642-18079-8. ISBN 978-3-642-18078-1.
Casazza, Peter G.; Fickus, Matthew; Tremain, Janet C.; Weber, Eric (2006). "The Kadison-Singer problem in mathematics and engineering: A detailed account". In Han, Deguang; Jorgensen, Palle E. T.; Larson, David Royal (eds.). Large Deviations for Additive Functionals of Markov Chains: The 25th Great Plains Operator Theory Symposium, June 7–12, 2005, University of Central Florida, Florida. Contemporary Mathematics. Vol. 414. American Mathematical Society. pp. 299–355. doi:10.1090/conm/414/07820. ISBN 978-0-8218-3923-2. Retrieved 24 April 2015.
Stanley, Richard P. (1994). "A survey of Eulerian posets". In Bisztriczky, T.; McMullen, P.; Schneider, R.; Weiss, A. IviÄ‡ (eds.). Polytopes: abstract, convex and computational (Scarborough, ON, 1993). NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences. Vol. 440. Dordrecht: Kluwer Academic Publishers. pp. 301–333. MR 1322068.. See in particular p. 316.

broadpark.no (Global: low place; English: low place)

home.broadpark.no

Kloster, Oddvar. "A Solution to the Angel Problem" (PDF). Oslo, Norway: SINTEF ICT. Archived from the original (PDF) on 2016-01-07. Retrieved 2016-03-18.

bu.edu (Global: 2,120^th place; English: 1,328^th place)

cs.bu.edu

Gacs, Peter (June 19, 2007). "THE ANGEL WINS" (PDF). Archived from the original (PDF) on 2016-03-04. Retrieved 2016-03-18.

celebratio.org (Global: low place; English: low place)

Lisa Traynor (2024). "Eliashberg's contributions towards the theory of generating functions"

claymath.org (Global: 8,402^nd place; English: 8,241^st place)

"Millennium Problems". claymath.org. Archived from the original on 2017-06-06. Retrieved 2015-01-20.
"Poincaré Conjecture". Clay Mathematics Institute. Archived from the original on 2013-12-15.
"Antoine Song | Clay Mathematics Institute". ...Building on work of Codá Marques and Neves, in 2018 Song proved Yau's conjecture in complete generality
"Prize for Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman" (PDF) (Press release). Clay Mathematics Institute. March 18, 2010. Archived from the original on March 22, 2010. Retrieved November 13, 2015. The Clay Mathematics Institute hereby awards the Millennium Prize for resolution of the Poincaré conjecture to Grigoriy Perelman.
"Research Awards". Clay Mathematics Institute. Archived from the original on 2019-04-07. Retrieved 2019-04-07.

cnn.com (Global: 28^th place; English: 26^th place)

edition.cnn.com

"DARPA invests in math". CNN. 2008-10-14. Archived from the original on 2009-03-04. Retrieved 2013-01-14.

cnrs.fr (Global: 2,402^nd place; English: 5,549^th place)

www2.cnrs.fr

"Fields Medal awarded to Artur Avila". Centre national de la recherche scientifique. 2014-08-13. Archived from the original on 2018-07-10. Retrieved 2018-07-07.

columbia.edu (Global: 488^th place; English: 374^th place)

Chudnovsky, Maria (2014). "The Erdös–Hajnal conjecture—a survey" (PDF). Journal of Graph Theory. 75 (2): 178–190. arXiv:1606.08827. doi:10.1002/jgt.21730. MR 3150572. S2CID 985458. Zbl 1280.05086. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-09-22..

combinatorics.org (Global: low place; English: low place)

Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019). "More Turán-type theorems for triangles in convex point sets". Electronic Journal of Combinatorics. 26 (1): P1.8. arXiv:1706.10193. Bibcode:2017arXiv170610193A. doi:10.37236/7224. Archived from the original on 2019-02-18. Retrieved 2019-02-18.

cwi.nl (Global: low place; English: low place)

homepages.cwi.nl

Brouwer, Andries E.; Van Maldeghem, Hendrik (2022). "8.2 Conference matrices and conference graphs". Strongly regular graphs (PDF). New Mathematical Monographs. Vol. 41. American Mathematical Society. pp. 189–190. ISBN 978-1-316-51203-6.

doi.org (Global: 2^nd place; English: 2^nd place)

Shimura, G. (1989). "Yutaka Taniyama and his time". Bulletin of the London Mathematical Society. 21 (2): 186–196. doi:10.1112/blms/21.2.186.
Friedl, Stefan (2014). "Thurston's vision and the virtual fibering theorem for 3-manifolds". Jahresbericht der Deutschen Mathematiker-Vereinigung. 116 (4): 223–241. doi:10.1365/s13291-014-0102-x. MR 3280572. S2CID 56322745.
Thurston, William P. (1982). "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry". Bulletin of the American Mathematical Society. New Series. 6 (3): 357–381. doi:10.1090/S0273-0979-1982-15003-0. MR 0648524.
Dowling, T. A. (February 1973). "A class of geometric lattices based on finite groups". Journal of Combinatorial Theory. Series B. 14 (1): 61–86. doi:10.1016/S0095-8956(73)80007-3.
Aschbacher, Michael (1990). "On Conjectures of Guralnick and Thompson". Journal of Algebra. 135 (2): 277–343. doi:10.1016/0021-8693(90)90292-V.
Kung, H. T.; Traub, Joseph Frederick (1974). "Optimal order of one-point and multipoint iteration". Journal of the ACM. 21 (4): 643–651. doi:10.1145/321850.321860. S2CID 74921.
Brightwell, Graham R.; Felsner, Stefan; Trotter, William T. (1995). "Balancing pairs and the cross product conjecture". Order. 12 (4): 327–349. CiteSeerX 10.1.1.38.7841. doi:10.1007/BF01110378. MR 1368815. S2CID 14793475..
Tao, Terence (2018). "Some remarks on the lonely runner conjecture". Contributions to Discrete Mathematics. 13 (2): 1–31. arXiv:1701.02048. doi:10.11575/cdm.v13i2.62728.
González-Jiménez, Enrique; Xarles, Xavier (2014). "On a conjecture of Rudin on squares in arithmetic progressions". LMS Journal of Computation and Mathematics. 17 (1): 58–76. arXiv:1301.5122. doi:10.1112/S1461157013000259. S2CID 11615385.
Bruhn, Henning; Schaudt, Oliver (2015). "The journey of the union-closed sets conjecture" (PDF). Graphs and Combinatorics. 31 (6): 2043–2074. arXiv:1309.3297. doi:10.1007/s00373-014-1515-0. MR 3417215. S2CID 17531822. Archived (PDF) from the original on 2017-08-08. Retrieved 2017-07-18.
Murnaghan, F. D. (1938). "The Analysis of the Direct Product of Irreducible Representations of the Symmetric Groups". American Journal of Mathematics. 60 (1): 44–65. doi:10.2307/2371542. JSTOR 2371542. MR 1507301. PMC 1076971. PMID 16577800.
Liśkiewicz, Maciej; Ogihara, Mitsunori; Toda, Seinosuke (2003-07-28). "The complexity of counting self-avoiding walks in subgraphs of two-dimensional grids and hypercubes". Theoretical Computer Science. 304 (1): 129–156. doi:10.1016/S0304-3975(03)00080-X. S2CID 33806100.
Kaloshin, Vadim; Sorrentino, Alfonso (2018). "On the local Birkhoff conjecture for convex billiards". Annals of Mathematics. 188 (1): 315–380. arXiv:1612.09194. doi:10.4007/annals.2018.188.1.6. S2CID 119171182.
Sarnak, Peter (2011). "Recent progress on the quantum unique ergodicity conjecture". Bulletin of the American Mathematical Society. 48 (2): 211–228. doi:10.1090/S0273-0979-2011-01323-4. MR 2774090.
Kari, Jarkko (2009). "Structure of reversible cellular automata". Structure of Reversible Cellular Automata. International Conference on Unconventional Computation. Lecture Notes in Computer Science. Vol. 5715. Springer. p. 6. Bibcode:2009LNCS.5715....6K. doi:10.1007/978-3-642-03745-0_5. ISBN 978-3-642-03744-3.
Barlet, Daniel; Peternell, Thomas; Schneider, Michael (1990). "On two conjectures of Hartshorne's". Mathematische Annalen. 286 (1–3): 13–25. doi:10.1007/BF01453563. S2CID 122151259.
Dupont, Johan L. (2001). Scissors congruences, group homology and characteristic classes. Nankai Tracts in Mathematics. Vol. 1. World Scientific Publishing Co., Inc., River Edge, NJ. p. 6. doi:10.1142/9789812810335. ISBN 978-981-02-4507-8. MR 1832859. Archived from the original on 2016-04-29..
Zariski, Oscar (1971). "Some open questions in the theory of singularities". Bulletin of the American Mathematical Society. 77 (4): 481–491. doi:10.1090/S0002-9904-1971-12729-5. MR 0277533.
Bereg, Sergey; Dumitrescu, Adrian; Jiang, Minghui (2010). "On covering problems of Rado". Algorithmica. 57 (3): 538–561. doi:10.1007/s00453-009-9298-z. MR 2609053. S2CID 6511998.
Melissen, Hans (1993). "Densest packings of congruent circles in an equilateral triangle". American Mathematical Monthly. 100 (10): 916–925. doi:10.2307/2324212. JSTOR 2324212. MR 1252928.
Musin, Oleg R.; Tarasov, Alexey S. (2015). "The Tammes Problem for N = 14". Experimental Mathematics. 24 (4): 460–468. doi:10.1080/10586458.2015.1022842. S2CID 39429109.
Barros, Manuel (1997). "General Helices and a Theorem of Lancret". Proceedings of the American Mathematical Society. 125 (5): 1503–1509. doi:10.1090/S0002-9939-97-03692-7. JSTOR 2162098.
Katz, Mikhail G. (2007). Systolic geometry and topology. Mathematical Surveys and Monographs. Vol. 137. American Mathematical Society, Providence, RI. p. 57. doi:10.1090/surv/137. ISBN 978-0-8218-4177-8. MR 2292367.
Rosenberg, Steven (1997). The Laplacian on a Riemannian Manifold: An introduction to analysis on manifolds. London Mathematical Society Student Texts. Vol. 31. Cambridge: Cambridge University Press. pp. 62–63. doi:10.1017/CBO9780511623783. ISBN 978-0-521-46300-3. MR 1462892.
Nikolayevsky, Y. (2003). "Two theorems on Osserman manifolds". Differential Geometry and Its Applications. 18 (3): 239–253. doi:10.1016/S0926-2245(02)00160-2.
Ghosh, Subir Kumar; Goswami, Partha P. (2013). "Unsolved problems in visibility graphs of points, segments, and polygons". ACM Computing Surveys. 46 (2): 22:1–22:29. arXiv:1012.5187. doi:10.1145/2543581.2543589. S2CID 8747335.
Morris, Walter D.; Soltan, Valeriu (2000). "The Erdős-Szekeres problem on points in convex position—a survey". Bull. Amer. Math. Soc. 37 (4): 437–458. doi:10.1090/S0273-0979-00-00877-6. MR 1779413.; Suk, Andrew (2016). "On the Erdős–Szekeres convex polygon problem". J. Amer. Math. Soc. 30 (4): 1047–1053. arXiv:1604.08657. doi:10.1090/jams/869. S2CID 15732134.
Kalai, Gil (1989). "The number of faces of centrally-symmetric polytopes". Graphs and Combinatorics. 5 (1): 389–391. doi:10.1007/BF01788696. MR 1554357. S2CID 8917264..
Guy, Richard K. (1983). "An olla-podrida of open problems, often oddly posed". American Mathematical Monthly. 90 (3): 196–200. doi:10.2307/2975549. JSTOR 2975549. MR 1540158.
Matoušek, Jiří (2002). Lectures on discrete geometry. Graduate Texts in Mathematics. Vol. 212. Springer-Verlag, New York. p. 206. doi:10.1007/978-1-4613-0039-7. ISBN 978-0-387-95373-1. MR 1899299.
Burr, S. A.; Grünbaum, B.; Sloane, N. J. A. (1974). "The Orchard problem". Geometriae Dedicata. 2 (4): 397–424. doi:10.1007/BF00147569. S2CID 120906839.
Dey, Tamal K. (1998). "Improved bounds for planar k-sets and related problems". Discrete & Computational Geometry. 19 (3): 373–382. doi:10.1007/PL00009354. MR 1608878.; Tóth, Gábor (2001). "Point sets with many k-sets". Discrete & Computational Geometry. 26 (2): 187–194. doi:10.1007/s004540010022. MR 1843435..
Aichholzer, Oswin; García, Jesús; Orden, David; Ramos, Pedro (2007). "New Lower Bounds for the Number of (≤ k)-Edges and the Rectilinear Crossing Number of Kn" (PDF). Discrete & Computational Geometry. 38 (1): 1–14. doi:10.1007/s00454-007-1325-8. Retrieved 22 July 2025.
Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019). "More Turán-type theorems for triangles in convex point sets". Electronic Journal of Combinatorics. 26 (1): P1.8. arXiv:1706.10193. Bibcode:2017arXiv170610193A. doi:10.37236/7224. Archived from the original on 2019-02-18. Retrieved 2019-02-18.
Atiyah, Michael (2001). "Configurations of points". Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 359 (1784): 1375–1387. Bibcode:2001RSPTA.359.1375A. doi:10.1098/rsta.2001.0840. ISSN 1364-503X. MR 1853626. S2CID 55833332.
Finch, S. R.; Wetzel, J. E. (2004). "Lost in a forest". American Mathematical Monthly. 11 (8): 645–654. doi:10.2307/4145038. JSTOR 4145038. MR 2091541.
Howards, Hugh Nelson (2013). "Forming the Borromean rings out of arbitrary polygonal unknots". Journal of Knot Theory and Its Ramifications. 22 (14): 1350083, 15. arXiv:1406.3370. doi:10.1142/S0218216513500831. MR 3190121. S2CID 119674622.
Miller, Ezra; Pak, Igor (2008). "Metric combinatorics of convex polyhedra: Cut loci and nonoverlapping unfoldings". Discrete & Computational Geometry. 39 (1–3): 339–388. doi:10.1007/s00454-008-9052-3. MR 2383765.. Announced in 2003.
Solomon, Yaar; Weiss, Barak (2016). "Dense forests and Danzer sets". Annales Scientifiques de l'École Normale Supérieure. 49 (5): 1053–1074. arXiv:1406.3807. doi:10.24033/asens.2303. MR 3581810. S2CID 672315.; Conway, John H. Five $1,000 Problems (Update 2017) (PDF). On-Line Encyclopedia of Integer Sequences. Archived (PDF) from the original on 2019-02-13. Retrieved 2019-02-12.
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub (2009). "On nonobtuse simplicial partitions" (PDF). SIAM Review. 51 (2): 317–335. Bibcode:2009SIAMR..51..317B. doi:10.1137/060669073. MR 2505583. S2CID 216078793. Archived (PDF) from the original on 2018-11-04. Retrieved 2018-11-22.. See in particular Conjecture 23, p. 327.
Arutyunyants, G.; Iosevich, A. (2004). "Falconer conjecture, spherical averages and discrete analogs". In Pach, János (ed.). Towards a Theory of Geometric Graphs. Contemp. Math. Vol. 342. Amer. Math. Soc., Providence, RI. pp. 15–24. doi:10.1090/conm/342/06127. ISBN 978-0-8218-3484-8. MR 2065249.
Matschke, Benjamin (2014). "A survey on the square peg problem". Notices of the American Mathematical Society. 61 (4): 346–352. doi:10.1090/noti1100.
Katz, Nets; Tao, Terence (2002). "Recent progress on the Kakeya conjecture". Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations (El Escorial, 2000). Publicacions Matemàtiques. pp. 161–179. CiteSeerX 10.1.1.241.5335. doi:10.5565/PUBLMAT_Esco02_07. MR 1964819. S2CID 77088.
Norwood, Rick; Poole, George; Laidacker, Michael (1992). "The worm problem of Leo Moser". Discrete & Computational Geometry. 7 (2): 153–162. doi:10.1007/BF02187832. MR 1139077.
Wagner, Neal R. (1976). "The Sofa Problem" (PDF). The American Mathematical Monthly. 83 (3): 188–189. doi:10.2307/2977022. JSTOR 2977022. Archived (PDF) from the original on 2015-04-20. Retrieved 2014-05-14.
Grünbaum, Branko; Shephard, G. C. (1980). "Tilings with congruent tiles". Bulletin of the American Mathematical Society. New Series. 3 (3): 951–973. doi:10.1090/S0273-0979-1980-14827-2. MR 0585178.
Chai, Ying; Yuan, Liping; Zamfirescu, Tudor (June–July 2018). "Rupert Property of Archimedean Solids". The American Mathematical Monthly. 125 (6): 497–504. doi:10.1080/00029890.2018.1449505. S2CID 125508192.
Ghomi, Mohammad (2018-01-01). "Dürer's Unfolding Problem for Convex Polyhedra". Notices of the American Mathematical Society. 65 (1): 25–27. doi:10.1090/noti1609. ISSN 0002-9920.
Whyte, L. L. (1952). "Unique arrangements of points on a sphere". The American Mathematical Monthly. 59 (9): 606–611. doi:10.2307/2306764. JSTOR 2306764. MR 0050303.
Klostermeyer, W.; Mynhardt, C. (2015). "Protecting a graph with mobile guards". Applicable Analysis and Discrete Mathematics. 10: 21. arXiv:1407.5228. doi:10.2298/aadm151109021k..
Pleanmani, Nopparat (2019). "Graham's pebbling conjecture holds for the product of a graph and a sufficiently large complete bipartite graph". Discrete Mathematics, Algorithms and Applications. 11 (6): 1950068, 7. doi:10.1142/s179383091950068x. MR 4044549. S2CID 204207428.
Baird, William; Bonato, Anthony (2012). "Meyniel's conjecture on the cop number: a survey". Journal of Combinatorics. 3 (2): 225–238. arXiv:1308.3385. doi:10.4310/JOC.2012.v3.n2.a6. MR 2980752. S2CID 18942362.
Zhu, Xuding (1999). "The Game Coloring Number of Planar Graphs". Journal of Combinatorial Theory, Series B. 75 (2): 245–258. doi:10.1006/jctb.1998.1878.
Bousquet, Nicolas; Bartier, Valentin (2019). "Linear Transformations Between Colorings in Chordal Graphs". In Bender, Michael A.; Svensson, Ola; Herman, Grzegorz (eds.). 27th Annual European Symposium on Algorithms, ESA 2019, September 9-11, 2019, Munich/Garching, Germany. LIPIcs. Vol. 144. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. pp. 24:1–24:15. doi:10.4230/LIPIcs.ESA.2019.24. ISBN 978-3-95977-124-5. S2CID 195791634.
Gethner, Ellen (2018). "To the Moon and beyond". In Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.). Graph Theory: Favorite Conjectures and Open Problems, II. Problem Books in Mathematics. Springer International Publishing. pp. 115–133. doi:10.1007/978-3-319-97686-0_11. ISBN 978-3-319-97684-6. MR 3930641.
Chudnovsky, Maria; Seymour, Paul (2014). "Extending the Gyárfás-Sumner conjecture". Journal of Combinatorial Theory. Series B. 105: 11–16. doi:10.1016/j.jctb.2013.11.002. MR 3171779.
Hägglund, Jonas; Steffen, Eckhard (2014). "Petersen-colorings and some families of snarks". Ars Mathematica Contemporanea. 7 (1): 161–173. doi:10.26493/1855-3974.288.11a. MR 3047618. Archived from the original on 2016-10-03. Retrieved 2016-09-30..
Molloy, Michael; Reed, Bruce (1998). "A bound on the total chromatic number". Combinatorica. 18 (2): 241–280. CiteSeerX 10.1.1.24.6514. doi:10.1007/PL00009820. MR 1656544. S2CID 9600550..
Barát, János; Tóth, Géza (2010). "Towards the Albertson Conjecture". Electronic Journal of Combinatorics. 17 (1): R73. arXiv:0909.0413. Bibcode:2009arXiv0909.0413B. doi:10.37236/345..
Fulek, Radoslav; Pach, János (2011). "A computational approach to Conway's thrackle conjecture". Computational Geometry. 44 (6–7): 345–355. arXiv:1002.3904. doi:10.1016/j.comgeo.2011.02.001. MR 2785903..
Gupta, Anupam; Newman, Ilan; Rabinovich, Yuri; Sinclair, Alistair (2004). "Cuts, trees and $\ell _{1}$ -embeddings of graphs". Combinatorica. 24 (2): 233–269. CiteSeerX 10.1.1.698.8978. doi:10.1007/s00493-004-0015-x. MR 2071334. S2CID 46133408.
Hliněný, Petr (2010). "20 years of Negami's planar cover conjecture" (PDF). Graphs and Combinatorics. 26 (4): 525–536. CiteSeerX 10.1.1.605.4932. doi:10.1007/s00373-010-0934-9. MR 2669457. S2CID 121645. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-10-04..
Nöllenburg, Martin; Prutkin, Roman; Rutter, Ignaz (2016). "On self-approaching and increasing-chord drawings of 3-connected planar graphs". Journal of Computational Geometry. 7 (1): 47–69. arXiv:1409.0315. doi:10.20382/jocg.v7i1a3. MR 3463906. S2CID 1500695.
Ducey, Joshua E. (2017). "On the critical group of the missing Moore graph". Discrete Mathematics. 340 (5): 1104–1109. arXiv:1509.00327. doi:10.1016/j.disc.2016.10.001. MR 3612450. S2CID 28297244.
Blokhuis, A.; Brouwer, A. E. (1988). "Geodetic graphs of diameter two". Geometriae Dedicata. 25 (1–3): 527–533. doi:10.1007/BF00191941. MR 0925851. S2CID 189890651.
Florek, Jan (2010). "On Barnette's conjecture". Discrete Mathematics. 310 (10–11): 1531–1535. doi:10.1016/j.disc.2010.01.018. MR 2601261..
Broersma, Hajo; Patel, Viresh; Pyatkin, Artem (2014). "On toughness and Hamiltonicity of $2K_2$-free graphs" (PDF). Journal of Graph Theory. 75 (3): 244–255. doi:10.1002/jgt.21734. MR 3153119. S2CID 1377980.
Jaeger, F. (1985). "A survey of the cycle double cover conjecture". Annals of Discrete Mathematics 27 – Cycles in Graphs. North-Holland Mathematics Studies. Vol. 27. pp. 1–12. doi:10.1016/S0304-0208(08)72993-1. ISBN 978-0-444-87803-8..
Heckman, Christopher Carl; Krakovski, Roi (2013). "Erdös-Gyárfás conjecture for cubic planar graphs". Electronic Journal of Combinatorics. 20 (2). P7. doi:10.37236/3252..
Chudnovsky, Maria (2014). "The Erdös–Hajnal conjecture—a survey" (PDF). Journal of Graph Theory. 75 (2): 178–190. arXiv:1606.08827. doi:10.1002/jgt.21730. MR 3150572. S2CID 985458. Zbl 1280.05086. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-09-22..
Kawarabayashi, Ken-ichi; Niu, Jianbing; Zhang, Cun-Quan (2007). "Chords of longest circuits in locally planar graphs". European Journal of Combinatorics. 28 (1): 315–321. doi:10.1016/j.ejc.2005.07.017. MR 2261821.
Akiyama, Jin; Exoo, Geoffrey; Harary, Frank (1981). "Covering and packing in graphs. IV. Linear arboricity". Networks. 11 (1): 69–72. doi:10.1002/net.3230110108. MR 0608921..
Lenz, Hanfried; Ringel, Gerhard (1991). "A brief review on Egmont Köhler's mathematical work". Discrete Mathematics. 97 (1–3): 3–16. doi:10.1016/0012-365X(91)90416-Y. MR 1140782.
Fomin, Fedor V.; Høie, Kjartan (2006). "Pathwidth of cubic graphs and exact algorithms". Information Processing Letters. 97 (5): 191–196. doi:10.1016/j.ipl.2005.10.012. MR 2195217.
Ramachandran, S. (1981). "On a new digraph reconstruction conjecture". Journal of Combinatorial Theory. Series B. 31 (2): 143–149. doi:10.1016/S0095-8956(81)80019-6. MR 0630977.
Kühn, Daniela; Mycroft, Richard; Osthus, Deryk (2011). "A proof of Sumner's universal tournament conjecture for large tournaments". Proceedings of the London Mathematical Society. Third Series. 102 (4): 731–766. arXiv:1010.4430. doi:10.1112/plms/pdq035. MR 2793448. S2CID 119169562. Zbl 1218.05034..
Tuza, Zsolt (1990). "A conjecture on triangles of graphs". Graphs and Combinatorics. 6 (4): 373–380. doi:10.1007/BF01787705. MR 1092587. S2CID 38821128.
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. (2012). "Vizing's conjecture: a survey and recent results". Journal of Graph Theory. 69 (1): 46–76. CiteSeerX 10.1.1.159.7029. doi:10.1002/jgt.20565. MR 2864622. S2CID 9120720..
Bailey, R. F.; Stevens, B. (2010). "Hamiltonian decompositions of complete $k$-uniform hypergraphs". Discrete Mathematics. 310 (22): 3088–3095. doi:10.1016/j.disc.2009.03.047. ISSN 0012-365X.
Kitaev, Sergey; Lozin, Vadim (2015). Words and Graphs. Monographs in Theoretical Computer Science. An EATCS Series. doi:10.1007/978-3-319-25859-1. ISBN 978-3-319-25857-7. S2CID 7727433 – via link.springer.com.
Kitaev, Sergey (2017-05-16). A Comprehensive Introduction to the Theory of Word-Representable Graphs. International Conference on Developments in Language Theory. arXiv:1705.05924v1. doi:10.1007/978-3-319-62809-7_2.
Kitaev, S. V.; Pyatkin, A. V. (April 1, 2018). "Word-Representable Graphs: a Survey". Journal of Applied and Industrial Mathematics. 12 (2): 278–296. doi:10.1134/S1990478918020084. S2CID 125814097 – via Springer Link.
Kitaev, Sergey V.; Pyatkin, Artem V. (2018). "Графы, представимые в виде слов. Обзор результатов" [Word-representable graphs: A survey]. Дискретн. анализ и исслед. опер. (in Russian). 25 (2): 19–53. doi:10.17377/daio.2018.25.588.
Glen, Marc; Kitaev, Sergey; Pyatkin, Artem (2018). "On the representation number of a crown graph". Discrete Applied Mathematics. 244: 89–93. arXiv:1609.00674. doi:10.1016/j.dam.2018.03.013. S2CID 46925617.
Teschner, Ulrich (1997). "New results about the bondage number of a graph". Discrete Mathematics. 171 (1–3): 249–259. doi:10.1016/S0012-365X(96)00007-6.
Hrushovski, Ehud (1989). "Kueker's conjecture for stable theories". Journal of Symbolic Logic. 54 (1): 207–220. doi:10.2307/2275025. JSTOR 2275025. S2CID 41940041.
Peretz, Assaf (2006). "Geometry of forking in simple theories". Journal of Symbolic Logic. 71 (1): 347–359. arXiv:math/0412356. doi:10.2178/jsl/1140641179. S2CID 9380215.
Cherlin, Gregory; Shelah, Saharon (May 2007). "Universal graphs with a forbidden subtree". Journal of Combinatorial Theory. Series B. 97 (3): 293–333. arXiv:math/0512218. doi:10.1016/j.jctb.2006.05.008. S2CID 10425739.
Shelah, Saharon (1999). "Borel sets with large squares". Fundamenta Mathematicae. 159 (1): 1–50. arXiv:math/9802134. Bibcode:1998math......2134S. doi:10.4064/fm-159-1-1-50. S2CID 8846429.
Keisler, HJ (1967). "Ultraproducts which are not saturated". J. Symb. Log. 32 (1): 23–46. doi:10.2307/2271240. JSTOR 2271240. S2CID 250345806.
Singmaster, David (1971). "Research Problems: How often does an integer occur as a binomial coefficient?". American Mathematical Monthly. 78 (4): 385–386. doi:10.2307/2316907. JSTOR 2316907. MR 1536288..
Guo, Song; Sun, Zhi-Wei (2005). "On odd covering systems with distinct moduli". Advances in Applied Mathematics. 35 (2): 182–187. arXiv:math/0412217. doi:10.1016/j.aam.2005.01.004. MR 2152886. S2CID 835158.
Conrey, Brian (2016). "Lectures on the Riemann zeta function (book review)". Bulletin of the American Mathematical Society. 53 (3): 507–512. doi:10.1090/bull/1525.
Kontsevich, Maxim; Zagier, Don (2001). Engquist, Björn; Schmid, Wilfried (eds.). "Periods". Mathematics Unlimited — 2001 and Beyond. Berlin, Heidelberg: Springer. pp. 771–808. doi:10.1007/978-3-642-56478-9_39. ISBN 978-3-642-56478-9. Retrieved 2024-08-22.
Aigner, Martin (2013). Markov's theorem and 100 years of the uniqueness conjecture. Cham: Springer. doi:10.1007/978-3-319-00888-2. ISBN 978-3-319-00887-5. MR 3098784.
Ribenboim, P. (2006). Die Welt der Primzahlen. Springer-Lehrbuch (in German) (2nd ed.). Springer. pp. 242–243. doi:10.1007/978-3-642-18079-8. ISBN 978-3-642-18078-1.
Mazur, Barry (1992). "The topology of rational points". Experimental Mathematics. 1 (1): 35–45. doi:10.1080/10586458.1992.10504244. S2CID 17372107. Archived from the original on 2019-04-07. Retrieved 2019-04-07.
Kuperberg, Greg (1994). "Quadrisecants of knots and links". Journal of Knot Theory and Its Ramifications. 3: 41–50. arXiv:math/9712205. doi:10.1142/S021821659400006X. MR 1265452. S2CID 6103528.
Dimitrov, Vessilin; Gao, Ziyang; Habegger, Philipp (2021). "Uniformity in Mordell–Lang for curves" (PDF). Annals of Mathematics. 194: 237–298. arXiv:2001.10276. doi:10.4007/annals.2021.194.1.4. S2CID 210932420.
Guan, Qi'an; Zhou, Xiangyu (2015). "A solution of an $L^{2}$ extension problem with optimal estimate and applications". Annals of Mathematics. 181 (3): 1139–1208. arXiv:1310.7169. doi:10.4007/annals.2015.181.3.6. JSTOR 24523356. S2CID 56205818.
Merel, Loïc (1996). ""Bornes pour la torsion des courbes elliptiques sur les corps de nombres" [Bounds for the torsion of elliptic curves over number fields]". Inventiones Mathematicae. 124 (1): 437–449. Bibcode:1996InMat.124..437M. doi:10.1007/s002220050059. MR 1369424. S2CID 3590991.
Cohen, Stephen D.; Fried, Michael D. (1995). "Lenstra's proof of the Carlitz–Wan conjecture on exceptional polynomials: an elementary version". Finite Fields and Their Applications. 1 (3): 372–375. doi:10.1006/ffta.1995.1027. MR 1341953.
Casazza, Peter G.; Fickus, Matthew; Tremain, Janet C.; Weber, Eric (2006). "The Kadison-Singer problem in mathematics and engineering: A detailed account". In Han, Deguang; Jorgensen, Palle E. T.; Larson, David Royal (eds.). Large Deviations for Additive Functionals of Markov Chains: The 25th Great Plains Operator Theory Symposium, June 7–12, 2005, University of Central Florida, Florida. Contemporary Mathematics. Vol. 414. American Mathematical Society. pp. 299–355. doi:10.1090/conm/414/07820. ISBN 978-0-8218-3923-2. Retrieved 24 April 2015.
Kurdyka, Krzysztof; Mostowski, Tadeusz; Parusiński, Adam (2000). "Proof of the gradient conjecture of R. Thom". Annals of Mathematics. 152 (3): 763–792. arXiv:math/9906212. doi:10.2307/2661354. JSTOR 2661354. S2CID 119137528.
Moreira, Joel; Richter, Florian K.; Robertson, Donald (2019). "A proof of a sumset conjecture of Erdős". Annals of Mathematics. 189 (2): 605–652. arXiv:1803.00498. doi:10.4007/annals.2019.189.2.4. S2CID 119158401.
Santos, Franciscos (2012). "A counterexample to the Hirsch conjecture". Annals of Mathematics. 176 (1): 383–412. arXiv:1006.2814. doi:10.4007/annals.2012.176.1.7. S2CID 15325169.
Ziegler, Günter M. (2012). "Who solved the Hirsch conjecture?". Documenta Mathematica. Documenta Mathematica Series. 6 (Extra Volume "Optimization Stories"): 75–85. doi:10.4171/dms/6/13. ISBN 978-3-936609-58-5.
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron (2009-07-14). "Proof of Ira Gessel's lattice path conjecture". Proceedings of the National Academy of Sciences. 106 (28): 11502–11505. arXiv:0806.4300. Bibcode:2009PNAS..10611502K. doi:10.1073/pnas.0901678106. ISSN 0027-8424. PMC 2710637.
Chung, Fan; Greene, Curtis; Hutchinson, Joan (April 2015). "Herbert S. Wilf (1931–2012)". Notices of the AMS. 62 (4): 358. doi:10.1090/noti1247. ISSN 1088-9477. OCLC 34550461. The conjecture was finally given an exceptionally elegant proof by A. Marcus and G. Tardos in 2004.
Savchev, Svetoslav (2005). "Kemnitz' conjecture revisited". Discrete Mathematics. 297 (1–3): 196–201. doi:10.1016/j.disc.2005.02.018.
Green, Ben (2004). "The Cameron–Erdős conjecture". The Bulletin of the London Mathematical Society. 36 (6): 769–778. arXiv:math.NT/0304058. doi:10.1112/S0024609304003650. MR 2083752. S2CID 119615076.
Xue, Jinxin (2020). "Non-collision singularities in a planar 4-body problem". Acta Mathematica. 224 (2): 253–388. doi:10.4310/ACTA.2020.v224.n2.a2. S2CID 226420221.
Mathe, Andras (2007). "The Angel of power 2 wins" (PDF). Combinatorics, Probability and Computing. 16 (3): 363–374. doi:10.1017/S0963548306008303. S2CID 16892955. Archived (PDF) from the original on 2016-10-13. Retrieved 2016-03-18.
Guilfoyle, B.; Klingenberg, W. (2025). "The three obdurate conjectures of differential geometry". Math. Proc. R. Ir. Acad. 125A: 9–17. arXiv:2502.11716. doi:10.1353/mpr.2025.a968272.
Smith, David; Myers, Joseph Samuel; Kaplan, Craig S.; Goodman-Strauss, Chaim (2024). "An aperiodic monotile". Combinatorial Theory. 4 (1). doi:10.5070/C64163843. ISSN 2766-1334.
Kerz, Moritz; Strunk, Florian; Tamme, Georg (2018). "Algebraic K-theory and descent for blow-ups". Inventiones Mathematicae. 211 (2): 523–577. arXiv:1611.08466. Bibcode:2018InMat.211..523K. doi:10.1007/s00222-017-0752-2. MR 3748313. S2CID 253741858.
Marques, Fernando C.; Neves, André (2013). "Min-max theory and the Willmore conjecture". Annals of Mathematics. 179 (2): 683–782. arXiv:1202.6036. doi:10.4007/annals.2014.179.2.6. S2CID 50742102.
Guth, Larry; Katz, Nets Hawk (2015). "On the Erdos distinct distance problem in the plane". Annals of Mathematics. 181 (1): 155–190. arXiv:1011.4105. doi:10.4007/annals.2015.181.1.2.
Brock, Jeffrey F.; Canary, Richard D.; Minsky, Yair N. (2012). "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture". Annals of Mathematics. 176 (1): 1–149. arXiv:math/0412006. doi:10.4007/annals.2012.176.1.1.
Connelly, Robert; Demaine, Erik D.; Rote, Günter (2003). "Straightening polygonal arcs and convexifying polygonal cycles" (PDF). Discrete & Computational Geometry. 30 (2): 205–239. doi:10.1007/s00454-003-0006-7. MR 1931840. S2CID 40382145.
Faber, C.; Pandharipande, R. (2003). "Hodge integrals, partition matrices, and the $\lambda _{g}$ conjecture". Ann. of Math. 2. 157 (1): 97–124. arXiv:math.AG/9908052. doi:10.4007/annals.2003.157.97.
Shestakov, Ivan P.; Umirbaev, Ualbai U. (2004). "The tame and the wild automorphisms of polynomial rings in three variables". Journal of the American Mathematical Society. 17 (1): 197–227. doi:10.1090/S0894-0347-03-00440-5. MR 2015334.
Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio (2002). "Proof of the double bubble conjecture". Annals of Mathematics. Second Series. 155 (2): 459–489. arXiv:math/0406017. doi:10.2307/3062123. hdl:10481/32449. JSTOR 3062123. MR 1906593.
Hales, Thomas C. (2001). "The Honeycomb Conjecture". Discrete & Computational Geometry. 25: 1–22. arXiv:math/9906042. doi:10.1007/s004540010071.
Ullmo, E (1998). "Positivité et Discrétion des Points Algébriques des Courbes". Annals of Mathematics. 147 (1): 167–179. arXiv:alg-geom/9606017. doi:10.2307/120987. JSTOR 120987. S2CID 119717506. Zbl 0934.14013.
Zhang, S.-W. (1998). "Equidistribution of small points on abelian varieties". Annals of Mathematics. 147 (1): 159–165. doi:10.2307/120986. JSTOR 120986.
Hales, Thomas; Adams, Mark; Bauer, Gertrud; Dang, Dat Tat; Harrison, John; Hoang, Le Truong; Kaliszyk, Cezary; Magron, Victor; McLaughlin, Sean; Nguyen, Tat Thang; Nguyen, Quang Truong; Nipkow, Tobias; Obua, Steven; Pleso, Joseph; Rute, Jason; Solovyev, Alexey; Ta, Thi Hoai An; Tran, Nam Trung; Trieu, Thi Diep; Urban, Josef; Ky, Vu; Zumkeller, Roland (2017). "A formal proof of the Kepler conjecture". Forum of Mathematics, Pi. 5 e2. arXiv:1501.02155. doi:10.1017/fmp.2017.1.
Hales, Thomas C.; McLaughlin, Sean (2010). "The dodecahedral conjecture". Journal of the American Mathematical Society. 23 (2): 299–344. arXiv:math/9811079. Bibcode:2010JAMS...23..299H. doi:10.1090/S0894-0347-09-00647-X.
Dujmović, Vida; Eppstein, David; Hickingbotham, Robert; Morin, Pat; Wood, David R. (August 2021). "Stack-number is not bounded by queue-number". Combinatorica. 42 (2): 151–164. arXiv:2011.04195. doi:10.1007/s00493-021-4585-7. S2CID 226281691.
Shitov, Yaroslav (1 September 2019). "Counterexamples to Hedetniemi's conjecture". Annals of Mathematics. 190 (2): 663–667. arXiv:1905.02167. doi:10.4007/annals.2019.190.2.6. JSTOR 10.4007/annals.2019.190.2.6. MR 3997132. S2CID 146120733. Zbl 1451.05087. Retrieved 19 July 2021.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture I: Special separations". Journal of Combinatorial Theory, Series B. 144: 197–224. arXiv:1511.05020. doi:10.1016/j.jctb.2019.11.008. ISSN 0095-8956. S2CID 29791394.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture II: 2-Vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 225–264. arXiv:1602.07557. doi:10.1016/j.jctb.2019.11.007. ISSN 0095-8956. S2CID 220369443.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-09). "The Kelmans-Seymour conjecture III: 3-vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 265–308. arXiv:1609.05747. doi:10.1016/j.jctb.2019.11.006. ISSN 0095-8956. S2CID 119625722.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-19). "The Kelmans-Seymour conjecture IV: A proof". Journal of Combinatorial Theory, Series B. 144: 309–358. arXiv:1612.07189. doi:10.1016/j.jctb.2019.12.002. ISSN 0095-8956. S2CID 119175309.
Abdollahi A., Zallaghi M. (2015). "Character sums for Cayley graphs". Communications in Algebra. 43 (12): 5159–5167. doi:10.1080/00927872.2014.967398. S2CID 117651702.
Huh, June (2012). "Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs". Journal of the American Mathematical Society. 25 (3): 907–927. arXiv:1008.4749. doi:10.1090/S0894-0347-2012-00731-0.
Chalopin, Jérémie; Gonçalves, Daniel (2009). "Every planar graph is the intersection graph of segments in the plane: extended abstract". In Mitzenmacher, Michael (ed.). Proceedings of the 41st Annual ACM Symposium on Theory of Computing, STOC 2009, Bethesda, MD, USA, May 31 – June 2, 2009. ACM. pp. 631–638. doi:10.1145/1536414.1536500.
Aharoni, Ron; Berger, Eli (2009). "Menger's theorem for infinite graphs". Inventiones Mathematicae. 176 (1): 1–62. arXiv:math/0509397. Bibcode:2009InMat.176....1A. doi:10.1007/s00222-008-0157-3.
Chudnovsky, Maria; Robertson, Neil; Seymour, Paul; Thomas, Robin (2002). "The strong perfect graph theorem". Annals of Mathematics. 164: 51–229. arXiv:math/0212070. Bibcode:2002math.....12070C. doi:10.4007/annals.2006.164.51. S2CID 119151552.
Chen, Zhibo (1996). "Harary's conjectures on integral sum graphs". Discrete Mathematics. 160 (1–3): 241–244. doi:10.1016/0012-365X(95)00163-Q.
Friedman, Joel (January 2015). "Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks" (PDF). Memoirs of the American Mathematical Society. 233 (1100): 0. doi:10.1090/memo/1100. ISSN 0065-9266. S2CID 117941803.
Mineyev, Igor (2012). "Submultiplicativity and the Hanna Neumann conjecture". Annals of Mathematics. Second Series. 175 (1): 393–414. doi:10.4007/annals.2012.175.1.11. MR 2874647.
Namazi, Hossein; Souto, Juan (2012). "Non-realizability and ending laminations: Proof of the density conjecture". Acta Mathematica. 209 (2): 323–395. doi:10.1007/s11511-012-0088-0.
Bourgain, Jean; Ciprian, Demeter; Larry, Guth (2015). "Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three". Annals of Mathematics. 184 (2): 633–682. arXiv:1512.01565. Bibcode:2015arXiv151201565B. doi:10.4007/annals.2016.184.2.7. hdl:1721.1/115568. S2CID 43929329.
Zhang, Yitang (2014-05-01). "Bounded gaps between primes". Annals of Mathematics. 179 (3): 1121–1174. doi:10.4007/annals.2014.179.3.7. ISSN 0003-486X.
Maynard, James (2015-01-01). "Small gaps between primes". Annals of Mathematics: 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. ISSN 0003-486X. S2CID 55175056.
Cilleruelo, Javier (2010). "Generalized Sidon sets". Advances in Mathematics. 225 (5): 2786–2807. doi:10.1016/j.aim.2010.05.010. hdl:10261/31032. S2CID 7385280.
Khare, Chandrashekhar; Wintenberger, Jean-Pierre (2009). "Serre's modularity conjecture (I)". Inventiones Mathematicae. 178 (3): 485–504. Bibcode:2009InMat.178..485K. CiteSeerX 10.1.1.518.4611. doi:10.1007/s00222-009-0205-7. S2CID 14846347.
Khare, Chandrashekhar; Wintenberger, Jean-Pierre (2009). "Serre's modularity conjecture (II)". Inventiones Mathematicae. 178 (3): 505–586. Bibcode:2009InMat.178..505K. CiteSeerX 10.1.1.228.8022. doi:10.1007/s00222-009-0206-6. S2CID 189820189.
Metsänkylä, Tauno (5 September 2003). "Catalan's conjecture: another old diophantine problem solved" (PDF). Bulletin of the American Mathematical Society. 41 (1): 43–57. doi:10.1090/s0273-0979-03-00993-5. ISSN 0273-0979. Archived (PDF) from the original on 4 March 2016. Retrieved 13 November 2015. The conjecture, which dates back to 1844, was recently proven by the Swiss mathematician Preda Mihăilescu.
Croot, Ernest S. III (2000). Unit Fractions. Ph.D. thesis. University of Georgia, Athens. Croot, Ernest S. III (2003). "On a coloring conjecture about unit fractions". Annals of Mathematics. 157 (2): 545–556. arXiv:math.NT/0311421. Bibcode:2003math.....11421C. doi:10.4007/annals.2003.157.545. S2CID 13514070.
Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived (PDF) from the original on 2011-05-10. Retrieved 2016-03-06.
Taylor R, Wiles A (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255. Archived from the original on 16 September 2000.
Lee, Choongbum (2017). "Ramsey numbers of degenerate graphs". Annals of Mathematics. 185 (3): 791–829. arXiv:1505.04773. doi:10.4007/annals.2017.185.3.2. S2CID 7974973.
Lamb, Evelyn (26 May 2016). "Two-hundred-terabyte maths proof is largest ever". Nature. 534 (7605): 17–18. Bibcode:2016Natur.534...17L. doi:10.1038/nature.2016.19990. PMID 27251254.
Heule, Marijn J. H.; Kullmann, Oliver; Marek, Victor W. (2016). "Solving and Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer". In Creignou, N.; Le Berre, D. (eds.). Theory and Applications of Satisfiability Testing – SAT 2016. Lecture Notes in Computer Science. Vol. 9710. Springer, [Cham]. pp. 228–245. arXiv:1605.00723. doi:10.1007/978-3-319-40970-2_15. ISBN 978-3-319-40969-6. MR 3534782. S2CID 7912943.
Piccirillo, Lisa (2020). "The Conway knot is not slice". Annals of Mathematics. 191 (2): 581–591. doi:10.4007/annals.2020.191.2.5. S2CID 52398890.
Agol, Ian (2013). "The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves, and Jason Manning)" (PDF). Documenta Mathematica. 18: 1045–1087. arXiv:1204.2810v1. doi:10.4171/dm/421. S2CID 255586740.
Brendle, Simon (2013). "Embedded minimal tori in $S^{3}$ and the Lawson conjecture". Acta Mathematica. 211 (2): 177–190. arXiv:1203.6597. doi:10.1007/s11511-013-0101-2.
Kahn, Jeremy; Markovic, Vladimir (2015). "The good pants homology and the Ehrenpreis conjecture". Annals of Mathematics. 182 (1): 1–72. arXiv:1101.1330. doi:10.4007/annals.2015.182.1.1.
Austin, Tim (December 2013). "Rational group ring elements with kernels having irrational dimension". Proceedings of the London Mathematical Society. 107 (6): 1424–1448. arXiv:0909.2360. Bibcode:2009arXiv0909.2360A. doi:10.1112/plms/pdt029. S2CID 115160094.
Lurie, Jacob (2009). "On the classification of topological field theories". Current Developments in Mathematics. 2008: 129–280. arXiv:0905.0465. Bibcode:2009arXiv0905.0465L. doi:10.4310/cdm.2008.v2008.n1.a3. S2CID 115162503.
Rudin, M.E. (2001). "Nikiel's Conjecture". Topology and Its Applications. 116 (3): 305–331. doi:10.1016/S0166-8641(01)00218-8.
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken (1 December 2015). "Proof of the umbral moonshine conjecture". Research in the Mathematical Sciences. 2 (1): 26. arXiv:1503.01472. Bibcode:2015arXiv150301472D. doi:10.1186/s40687-015-0044-7. S2CID 43589605.
Cheeger, Jeff; Naber, Aaron (2015). "Regularity of Einstein Manifolds and the Codimension 4 Conjecture". Annals of Mathematics. 182 (3): 1093–1165. arXiv:1406.6534. doi:10.4007/annals.2015.182.3.5.
Geisser, Thomas; Levine, Marc (2001). "The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky". Journal für die Reine und Angewandte Mathematik. 2001 (530): 55–103. doi:10.1515/crll.2001.006. MR 1807268.
Mattman, Thomas W.; Solis, Pablo (2009). "A proof of the Kauffman-Harary Conjecture". Algebraic & Geometric Topology. 9 (4): 2027–2039. arXiv:0906.1612. Bibcode:2009arXiv0906.1612M. doi:10.2140/agt.2009.9.2027. S2CID 8447495.
Kahn, Jeremy; Markovic, Vladimir (2012). "Immersing almost geodesic surfaces in a closed hyperbolic three manifold". Annals of Mathematics. 175 (3): 1127–1190. arXiv:0910.5501. doi:10.4007/annals.2012.175.3.4.
Lu, Zhiqin (September 2011) [2007]. "Normal Scalar Curvature Conjecture and its applications". Journal of Functional Analysis. 261 (5): 1284–1308. arXiv:0711.3510. doi:10.1016/j.jfa.2011.05.002.
Dencker, Nils (2006). "The resolution of the Nirenberg–Treves conjecture" (PDF). Annals of Mathematics. 163 (2): 405–444. doi:10.4007/annals.2006.163.405. S2CID 16630732. Archived (PDF) from the original on 2018-07-20. Retrieved 2019-04-07.
Lewis, A. S.; Parrilo, P. A.; Ramana, M. V. (2005). "The Lax conjecture is true". Proceedings of the American Mathematical Society. 133 (9): 2495–2499. doi:10.1090/S0002-9939-05-07752-X. MR 2146191. S2CID 17436983.
Voevodsky, Vladimir (2003). "Reduced power operations in motivic cohomology". Publications Mathématiques de l'IHÉS. 98: 1–57. arXiv:math/0107109. CiteSeerX 10.1.1.170.4427. doi:10.1007/s10240-003-0009-z. S2CID 8172797. Archived from the original on 2017-07-28. Retrieved 2016-03-18.
Baruch, Ehud Moshe (2003). "A proof of Kirillov's conjecture". Annals of Mathematics. Second Series. 158 (1): 207–252. doi:10.4007/annals.2003.158.207. MR 1999922.
Haiman, Mark (2001). "Hilbert schemes, polygraphs and the Macdonald positivity conjecture". Journal of the American Mathematical Society. 14 (4): 941–1006. doi:10.1090/S0894-0347-01-00373-3. MR 1839919. S2CID 9253880.
Auscher, Pascal; Hofmann, Steve; Lacey, Michael; McIntosh, Alan; Tchamitchian, Ph. (2002). "The solution of the Kato square root problem for second order elliptic operators on $\mathbb {R} ^{n}$ ". Annals of Mathematics. Second Series. 156 (2): 633–654. doi:10.2307/3597201. JSTOR 3597201. MR 1933726.
Barbieri-Viale, Luca; Rosenschon, Andreas; Saito, Morihiko (2003). "Deligne's Conjecture on 1-Motives". Annals of Mathematics. 158 (2): 593–633. arXiv:math/0102150. doi:10.4007/annals.2003.158.593.
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard (2001). "On the modularity of elliptic curves over Q: wild 3-adic exercises". Journal of the American Mathematical Society. 14 (4): 843–939. doi:10.1090/S0894-0347-01-00370-8. ISSN 0894-0347. MR 1839918.
Luca, Florian (2000). "On a conjecture of Erdős and Stewart" (PDF). Mathematics of Computation. 70 (234): 893–897. Bibcode:2001MaCom..70..893L. doi:10.1090/s0025-5718-00-01178-9. Archived (PDF) from the original on 2016-04-02. Retrieved 2016-03-18.
Atiyah, Michael (2000). "The geometry of classical particles". In Yau, Shing-Tung (ed.). Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer. Surveys in Differential Geometry. Vol. 7. Somerville, Massachusetts: International Press. pp. 1–15. doi:10.4310/SDG.2002.v7.n1.a1. MR 1919420.

emis.de (Global: low place; English: low place)

Haas, Bertrand (2002). "A Simple Counterexample to Kouchnirenko's Conjecture" (PDF). Beiträge zur Algebra und Geometrie. 43 (1): 1–8. Archived (PDF) from the original on 2016-10-07. Retrieved 2016-03-18.

encyclopediaofmath.org (Global: 3,863^rd place; English: 2,637^th place)

Berenstein, Carlos A. (2001) [1994]. "Pompeiu problem". Encyclopedia of Mathematics. EMS Press.

erdosproblems.com (Global: low place; English: low place)

Bloom, Thomas. "Erdős Problems". Retrieved 2025-07-30.

escholarship.org (Global: 1,523^rd place; English: 976^th place)

Smith, David; Myers, Joseph Samuel; Kaplan, Craig S.; Goodman-Strauss, Chaim (2024). "An aperiodic monotile". Combinatorial Theory. 4 (1). doi:10.5070/C64163843. ISSN 2766-1334.

fu-berlin.de (Global: 3,329^th place; English: 4,598^th place)

page.mi.fu-berlin.de

Connelly, Robert; Demaine, Erik D.; Rote, Günter (2003). "Straightening polygonal arcs and convexifying polygonal cycles" (PDF). Discrete & Computational Geometry. 30 (2): 205–239. doi:10.1007/s00454-003-0006-7. MR 1931840. S2CID 40382145.

gilkalai.wordpress.com (Global: low place; English: low place)

Kalai, Gil (2018-12-25). "Amazing: Karim Adiprasito proved the g-conjecture for spheres!". Archived from the original on 2019-02-16. Retrieved 2019-02-15.

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

Moreno, José Pedro; Prieto-Martínez, Luis Felipe (2021). "El problema de los triángulos de Kobon" [The Kobon triangles problem]. La Gaceta de la Real Sociedad Matemática Española (in Spanish). 24 (1): 111–130. hdl:10486/705416. MR 4225268.
Senechal, Marjorie; Galiulin, R. V. (1984). "An introduction to the theory of figures: the geometry of E. S. Fedorov". Structural Topology (in English and French) (10): 5–22. hdl:2099/1195. MR 0768703.
Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio (2002). "Proof of the double bubble conjecture". Annals of Mathematics. Second Series. 155 (2): 459–489. arXiv:math/0406017. doi:10.2307/3062123. hdl:10481/32449. JSTOR 3062123. MR 1906593.
Bourgain, Jean; Ciprian, Demeter; Larry, Guth (2015). "Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three". Annals of Mathematics. 184 (2): 633–682. arXiv:1512.01565. Bibcode:2015arXiv151201565B. doi:10.4007/annals.2016.184.2.7. hdl:1721.1/115568. S2CID 43929329.
Cilleruelo, Javier (2010). "Generalized Sidon sets". Advances in Mathematics. 225 (5): 2786–2807. doi:10.1016/j.aim.2010.05.010. hdl:10261/31032. S2CID 7385280.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Kari, Jarkko (2009). "Structure of reversible cellular automata". Structure of Reversible Cellular Automata. International Conference on Unconventional Computation. Lecture Notes in Computer Science. Vol. 5715. Springer. p. 6. Bibcode:2009LNCS.5715....6K. doi:10.1007/978-3-642-03745-0_5. ISBN 978-3-642-03744-3.
Maulik, Davesh; Nekrasov, Nikita; Okounov, Andrei; Pandharipande, Rahul (2004-06-05). Gromov–Witten theory and Donaldson–Thomas theory, I. arXiv:math/0312059. Bibcode:2003math.....12059M.
Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019). "More Turán-type theorems for triangles in convex point sets". Electronic Journal of Combinatorics. 26 (1): P1.8. arXiv:1706.10193. Bibcode:2017arXiv170610193A. doi:10.37236/7224. Archived from the original on 2019-02-18. Retrieved 2019-02-18.
Atiyah, Michael (2001). "Configurations of points". Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 359 (1784): 1375–1387. Bibcode:2001RSPTA.359.1375A. doi:10.1098/rsta.2001.0840. ISSN 1364-503X. MR 1853626. S2CID 55833332.
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub (2009). "On nonobtuse simplicial partitions" (PDF). SIAM Review. 51 (2): 317–335. Bibcode:2009SIAMR..51..317B. doi:10.1137/060669073. MR 2505583. S2CID 216078793. Archived (PDF) from the original on 2018-11-04. Retrieved 2018-11-22.. See in particular Conjecture 23, p. 327.
Barát, János; Tóth, Géza (2010). "Towards the Albertson Conjecture". Electronic Journal of Combinatorics. 17 (1): R73. arXiv:0909.0413. Bibcode:2009arXiv0909.0413B. doi:10.37236/345..
Shelah, Saharon (1999). "Borel sets with large squares". Fundamenta Mathematicae. 159 (1): 1–50. arXiv:math/9802134. Bibcode:1998math......2134S. doi:10.4064/fm-159-1-1-50. S2CID 8846429.
Merel, Loïc (1996). ""Bornes pour la torsion des courbes elliptiques sur les corps de nombres" [Bounds for the torsion of elliptic curves over number fields]". Inventiones Mathematicae. 124 (1): 437–449. Bibcode:1996InMat.124..437M. doi:10.1007/s002220050059. MR 1369424. S2CID 3590991.
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron (2009-07-14). "Proof of Ira Gessel's lattice path conjecture". Proceedings of the National Academy of Sciences. 106 (28): 11502–11505. arXiv:0806.4300. Bibcode:2009PNAS..10611502K. doi:10.1073/pnas.0901678106. ISSN 0027-8424. PMC 2710637.
Kerz, Moritz; Strunk, Florian; Tamme, Georg (2018). "Algebraic K-theory and descent for blow-ups". Inventiones Mathematicae. 211 (2): 523–577. arXiv:1611.08466. Bibcode:2018InMat.211..523K. doi:10.1007/s00222-017-0752-2. MR 3748313. S2CID 253741858.
Teixidor i Bigas, Montserrat; Russo, Barbara (1999). "On a conjecture of Lange". Journal of Algebraic Geometry. 8 (3): 483–496. arXiv:alg-geom/9710019. Bibcode:1997alg.geom.10019R. ISSN 1056-3911. MR 1689352.
Hales, Thomas C.; McLaughlin, Sean (2010). "The dodecahedral conjecture". Journal of the American Mathematical Society. 23 (2): 299–344. arXiv:math/9811079. Bibcode:2010JAMS...23..299H. doi:10.1090/S0894-0347-09-00647-X.
Aharoni, Ron; Berger, Eli (2009). "Menger's theorem for infinite graphs". Inventiones Mathematicae. 176 (1): 1–62. arXiv:math/0509397. Bibcode:2009InMat.176....1A. doi:10.1007/s00222-008-0157-3.
Chudnovsky, Maria; Robertson, Neil; Seymour, Paul; Thomas, Robin (2002). "The strong perfect graph theorem". Annals of Mathematics. 164: 51–229. arXiv:math/0212070. Bibcode:2002math.....12070C. doi:10.4007/annals.2006.164.51. S2CID 119151552.
Bourgain, Jean; Ciprian, Demeter; Larry, Guth (2015). "Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three". Annals of Mathematics. 184 (2): 633–682. arXiv:1512.01565. Bibcode:2015arXiv151201565B. doi:10.4007/annals.2016.184.2.7. hdl:1721.1/115568. S2CID 43929329.
Khare, Chandrashekhar; Wintenberger, Jean-Pierre (2009). "Serre's modularity conjecture (I)". Inventiones Mathematicae. 178 (3): 485–504. Bibcode:2009InMat.178..485K. CiteSeerX 10.1.1.518.4611. doi:10.1007/s00222-009-0205-7. S2CID 14846347.
Khare, Chandrashekhar; Wintenberger, Jean-Pierre (2009). "Serre's modularity conjecture (II)". Inventiones Mathematicae. 178 (3): 505–586. Bibcode:2009InMat.178..505K. CiteSeerX 10.1.1.228.8022. doi:10.1007/s00222-009-0206-6. S2CID 189820189.
Croot, Ernest S. III (2000). Unit Fractions. Ph.D. thesis. University of Georgia, Athens. Croot, Ernest S. III (2003). "On a coloring conjecture about unit fractions". Annals of Mathematics. 157 (2): 545–556. arXiv:math.NT/0311421. Bibcode:2003math.....11421C. doi:10.4007/annals.2003.157.545. S2CID 13514070.
Lamb, Evelyn (26 May 2016). "Two-hundred-terabyte maths proof is largest ever". Nature. 534 (7605): 17–18. Bibcode:2016Natur.534...17L. doi:10.1038/nature.2016.19990. PMID 27251254.
Austin, Tim (December 2013). "Rational group ring elements with kernels having irrational dimension". Proceedings of the London Mathematical Society. 107 (6): 1424–1448. arXiv:0909.2360. Bibcode:2009arXiv0909.2360A. doi:10.1112/plms/pdt029. S2CID 115160094.
Lurie, Jacob (2009). "On the classification of topological field theories". Current Developments in Mathematics. 2008: 129–280. arXiv:0905.0465. Bibcode:2009arXiv0905.0465L. doi:10.4310/cdm.2008.v2008.n1.a3. S2CID 115162503.
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken (1 December 2015). "Proof of the umbral moonshine conjecture". Research in the Mathematical Sciences. 2 (1): 26. arXiv:1503.01472. Bibcode:2015arXiv150301472D. doi:10.1186/s40687-015-0044-7. S2CID 43589605.
Mattman, Thomas W.; Solis, Pablo (2009). "A proof of the Kauffman-Harary Conjecture". Algebraic & Geometric Topology. 9 (4): 2027–2039. arXiv:0906.1612. Bibcode:2009arXiv0906.1612M. doi:10.2140/agt.2009.9.2027. S2CID 8447495.
Luca, Florian (2000). "On a conjecture of Erdős and Stewart" (PDF). Mathematics of Computation. 70 (234): 893–897. Bibcode:2001MaCom..70..893L. doi:10.1090/s0025-5718-00-01178-9. Archived (PDF) from the original on 2016-04-02. Retrieved 2016-03-18.

math.harvard.edu

Taylor R, Wiles A (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255. Archived from the original on 16 September 2000.

icm2010.in (Global: low place; English: low place)

"Fields Medal – Ngô Bảo Châu". International Congress of Mathematicians 2010. ICM. 19 August 2010. Archived from the original on 24 September 2015. Retrieved 2015-11-12. Ngô Bảo Châu is being awarded the 2010 Fields Medal for his proof of the Fundamental Lemma in the theory of automorphic forms through the introduction of new algebro-geometric methods.

illinois.edu (Global: 1,349^th place; English: 866^th place)

faculty.math.illinois.edu

"Seymour's 2nd Neighborhood Conjecture". faculty.math.illinois.edu. Archived from the original on 11 January 2019. Retrieved 17 August 2022.

imj-prg.fr (Global: low place; English: low place)

webusers.imj-prg.fr

Waldschmidt, Michel (2008). An introduction to irrationality and transcendence methods (PDF). 2008 Arizona Winter School. Archived from the original (PDF) on 16 December 2014. Retrieved 15 December 2014.
Kahn, Bruno. "Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry" (PDF). webusers.imj-prg.fr. Archived (PDF) from the original on 2016-03-27. Retrieved 2016-03-18.

jpost.com (Global: 544^th place; English: 387^th place)

Seigel-Itzkovich, Judy (2008-02-08). "Russian immigrant solves math puzzle". The Jerusalem Post. Retrieved 2015-11-12.

jstor.org (Global: 26^th place; English: 20^th place)

Murnaghan, F. D. (1938). "The Analysis of the Direct Product of Irreducible Representations of the Symmetric Groups". American Journal of Mathematics. 60 (1): 44–65. doi:10.2307/2371542. JSTOR 2371542. MR 1507301. PMC 1076971. PMID 16577800.
Melissen, Hans (1993). "Densest packings of congruent circles in an equilateral triangle". American Mathematical Monthly. 100 (10): 916–925. doi:10.2307/2324212. JSTOR 2324212. MR 1252928.
Barros, Manuel (1997). "General Helices and a Theorem of Lancret". Proceedings of the American Mathematical Society. 125 (5): 1503–1509. doi:10.1090/S0002-9939-97-03692-7. JSTOR 2162098.
Guy, Richard K. (1983). "An olla-podrida of open problems, often oddly posed". American Mathematical Monthly. 90 (3): 196–200. doi:10.2307/2975549. JSTOR 2975549. MR 1540158.
Finch, S. R.; Wetzel, J. E. (2004). "Lost in a forest". American Mathematical Monthly. 11 (8): 645–654. doi:10.2307/4145038. JSTOR 4145038. MR 2091541.
Wagner, Neal R. (1976). "The Sofa Problem" (PDF). The American Mathematical Monthly. 83 (3): 188–189. doi:10.2307/2977022. JSTOR 2977022. Archived (PDF) from the original on 2015-04-20. Retrieved 2014-05-14.
Whyte, L. L. (1952). "Unique arrangements of points on a sphere". The American Mathematical Monthly. 59 (9): 606–611. doi:10.2307/2306764. JSTOR 2306764. MR 0050303.
Hrushovski, Ehud (1989). "Kueker's conjecture for stable theories". Journal of Symbolic Logic. 54 (1): 207–220. doi:10.2307/2275025. JSTOR 2275025. S2CID 41940041.
Keisler, HJ (1967). "Ultraproducts which are not saturated". J. Symb. Log. 32 (1): 23–46. doi:10.2307/2271240. JSTOR 2271240. S2CID 250345806.
Singmaster, David (1971). "Research Problems: How often does an integer occur as a binomial coefficient?". American Mathematical Monthly. 78 (4): 385–386. doi:10.2307/2316907. JSTOR 2316907. MR 1536288..
Guan, Qi'an; Zhou, Xiangyu (2015). "A solution of an $L^{2}$ extension problem with optimal estimate and applications". Annals of Mathematics. 181 (3): 1139–1208. arXiv:1310.7169. doi:10.4007/annals.2015.181.3.6. JSTOR 24523356. S2CID 56205818.
Kurdyka, Krzysztof; Mostowski, Tadeusz; Parusiński, Adam (2000). "Proof of the gradient conjecture of R. Thom". Annals of Mathematics. 152 (3): 763–792. arXiv:math/9906212. doi:10.2307/2661354. JSTOR 2661354. S2CID 119137528.
Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio (2002). "Proof of the double bubble conjecture". Annals of Mathematics. Second Series. 155 (2): 459–489. arXiv:math/0406017. doi:10.2307/3062123. hdl:10481/32449. JSTOR 3062123. MR 1906593.
Ullmo, E (1998). "Positivité et Discrétion des Points Algébriques des Courbes". Annals of Mathematics. 147 (1): 167–179. arXiv:alg-geom/9606017. doi:10.2307/120987. JSTOR 120987. S2CID 119717506. Zbl 0934.14013.
Zhang, S.-W. (1998). "Equidistribution of small points on abelian varieties". Annals of Mathematics. 147 (1): 159–165. doi:10.2307/120986. JSTOR 120986.
Shitov, Yaroslav (1 September 2019). "Counterexamples to Hedetniemi's conjecture". Annals of Mathematics. 190 (2): 663–667. arXiv:1905.02167. doi:10.4007/annals.2019.190.2.6. JSTOR 10.4007/annals.2019.190.2.6. MR 3997132. S2CID 146120733. Zbl 1451.05087. Retrieved 19 July 2021.
Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived (PDF) from the original on 2011-05-10. Retrieved 2016-03-06.
Taylor R, Wiles A (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255. Archived from the original on 16 September 2000.
Auscher, Pascal; Hofmann, Steve; Lacey, Michael; McIntosh, Alan; Tchamitchian, Ph. (2002). "The solution of the Kato square root problem for second order elliptic operators on $\mathbb {R} ^{n}$ ". Annals of Mathematics. Second Series. 156 (2): 633–654. doi:10.2307/3597201. JSTOR 3597201. MR 1933726.

lbl.gov (Global: 2,509^th place; English: 2,329^th place)

www2.lbl.gov

"Are the Digits of Pi Random? Berkeley Lab Researcher May Hold Key". Archived from the original on 2016-03-27. Retrieved 2016-03-18.

log-it-ex.com (Global: low place; English: low place)

english.log-it-ex.com

"Open Q – Solving and rating of hard Sudoku". english.log-it-ex.com. Archived from the original on 10 November 2017.

mathnet.ru (Global: 8,783^rd place; English: low place)

Kitaev, Sergey V.; Pyatkin, Artem V. (2018). "Графы, представимые в виде слов. Обзор результатов" [Word-representable graphs: A survey]. Дискретн. анализ и исслед. опер. (in Russian). 25 (2): 19–53. doi:10.17377/daio.2018.25.588.

mathoverflow.net (Global: low place; English: low place)

"motivic cohomology – Milnor–Bloch–Kato conjecture implies the Beilinson-Lichtenbaum conjecture – MathOverflow". Retrieved 2016-03-18.

muni.cz (Global: 2,963^rd place; English: 6,401^st place)

fi.muni.cz

Hliněný, Petr (2010). "20 years of Negami's planar cover conjecture" (PDF). Graphs and Combinatorics. 26 (4): 525–536. CiteSeerX 10.1.1.605.4932. doi:10.1007/s00373-010-0934-9. MR 2669457. S2CID 121645. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-10-04..

nih.gov (Global: 4^th place; English: 4^th place)

ncbi.nlm.nih.gov

Murnaghan, F. D. (1938). "The Analysis of the Direct Product of Irreducible Representations of the Symmetric Groups". American Journal of Mathematics. 60 (1): 44–65. doi:10.2307/2371542. JSTOR 2371542. MR 1507301. PMC 1076971. PMID 16577800.
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron (2009-07-14). "Proof of Ira Gessel's lattice path conjecture". Proceedings of the National Academy of Sciences. 106 (28): 11502–11505. arXiv:0806.4300. Bibcode:2009PNAS..10611502K. doi:10.1073/pnas.0901678106. ISSN 0027-8424. PMC 2710637.

pubmed.ncbi.nlm.nih.gov

Murnaghan, F. D. (1938). "The Analysis of the Direct Product of Irreducible Representations of the Symmetric Groups". American Journal of Mathematics. 60 (1): 44–65. doi:10.2307/2371542. JSTOR 2371542. MR 1507301. PMC 1076971. PMID 16577800.
Lamb, Evelyn (26 May 2016). "Two-hundred-terabyte maths proof is largest ever". Nature. 534 (7605): 17–18. Bibcode:2016Natur.534...17L. doi:10.1038/nature.2016.19990. PMID 27251254.

nps.edu (Global: low place; English: 7,562^nd place)

faculty.nps.edu

Schwenk, Allen (2012). Some History on the Reconstruction Conjecture (PDF). Joint Mathematics Meetings. Archived from the original (PDF) on 2015-04-09. Retrieved 2018-11-26.

nsc.ru (Global: 6,956^th place; English: low place)

math.nsc.ru

ДНЕСТРОВСКАЯ ТЕТРАДЬ [DNIESTER NOTEBOOK] (PDF) (in Russian). The Russian Academy of Sciences. 1993.

nstu.ru (Global: low place; English: low place)

uamt.conf.nstu.ru

Эрлагольская тетрадь [Erlagol notebook] (PDF) (in Russian). The Novosibirsk State University. 2018.

numdam.org (Global: 8,650^th place; English: 7,668^th place)

archive.numdam.org

Voevodsky, Vladimir (2003). "Reduced power operations in motivic cohomology". Publications Mathématiques de l'IHÉS. 98: 1–57. arXiv:math/0107109. CiteSeerX 10.1.1.170.4427. doi:10.1007/s10240-003-0009-z. S2CID 8172797. Archived from the original on 2017-07-28. Retrieved 2016-03-18.

oeis.org (Global: 742^nd place; English: 538^th place)

Solomon, Yaar; Weiss, Barak (2016). "Dense forests and Danzer sets". Annales Scientifiques de l'École Normale Supérieure. 49 (5): 1053–1074. arXiv:1406.3807. doi:10.24033/asens.2303. MR 3581810. S2CID 672315.; Conway, John H. Five $1,000 Problems (Update 2017) (PDF). On-Line Encyclopedia of Integer Sequences. Archived (PDF) from the original on 2019-02-13. Retrieved 2019-02-12.
Conway, John H. Five $1,000 Problems (Update 2017) (PDF). Online Encyclopedia of Integer Sequences. Archived (PDF) from the original on 2019-02-13. Retrieved 2019-02-12.

openproblemgarden.org (Global: low place; English: low place)

rybu (November 7, 2009). "Smooth 4-dimensional Poincare conjecture". Open Problem Garden. Archived from the original on 2018-01-25. Retrieved 2019-08-06.
ACW (May 24, 2012). "Convex uniform 5-polytopes". Open Problem Garden. Archived from the original on October 5, 2016. Retrieved 2016-10-04..
mdevos; Wood, David (December 7, 2019). "Jorgensen's Conjecture". Open Problem Garden. Archived from the original on 2016-11-14. Retrieved 2016-11-13..
DeVos, Matthew (October 22, 2007). "Unfriendly partitions". Open problem garden.
mdevos (May 4, 2007). "5-flow conjecture". Open Problem Garden. Archived from the original on November 26, 2018.
mdevos (March 31, 2010). "4-flow conjecture". Open Problem Garden. Archived from the original on November 26, 2018.

ou.edu (Global: 5,878^th place; English: 4,074^th place)

www2.math.ou.edu

Albert, John. Some unsolved problems in number theory (PDF). Archived from the original (PDF) on 17 January 2014. Retrieved 15 December 2014.
Albert, John. Some unsolved problems in number theory (PDF). Archived from the original (PDF) on 17 January 2014. Retrieved 15 December 2014.

popularmechanics.com (Global: 1,808^th place; English: 1,159^th place)

Linkletter, David (27 December 2019). "The 10 Biggest Math Breakthroughs of 2019". Popular Mechanics. Retrieved 20 June 2021.

princeton.edu (Global: 741^st place; English: 577^th place)

annals.math.princeton.edu

Shitov, Yaroslav (1 September 2019). "Counterexamples to Hedetniemi's conjecture". Annals of Mathematics. 190 (2): 663–667. arXiv:1905.02167. doi:10.4007/annals.2019.190.2.6. JSTOR 10.4007/annals.2019.190.2.6. MR 3997132. S2CID 146120733. Zbl 1451.05087. Retrieved 19 July 2021.
Chudnovsky, Maria; Robertson, Neil; Seymour, Paul; Thomas, Robin (2002). "The strong perfect graph theorem". Annals of Mathematics. 164: 51–229. arXiv:math/0212070. Bibcode:2002math.....12070C. doi:10.4007/annals.2006.164.51. S2CID 119151552.
Piccirillo, Lisa (2020). "The Conway knot is not slice". Annals of Mathematics. 191 (2): 581–591. doi:10.4007/annals.2020.191.2.5. S2CID 52398890.
Voevodsky, Vladimir (1 July 2011). "On motivic cohomology with Z/l-coefficients" (PDF). annals.math.princeton.edu. Princeton, NJ: Princeton University. pp. 401–438. Archived (PDF) from the original on 2016-03-27. Retrieved 2016-03-18.
Dencker, Nils (2006). "The resolution of the Nirenberg–Treves conjecture" (PDF). Annals of Mathematics. 163 (2): 405–444. doi:10.4007/annals.2006.163.405. S2CID 16630732. Archived (PDF) from the original on 2018-07-20. Retrieved 2019-04-07.

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Mazur, Barry (1992). "The topology of rational points". Experimental Mathematics. 1 (1): 35–45. doi:10.1080/10586458.1992.10504244. S2CID 17372107. Archived from the original on 2019-04-07. Retrieved 2019-04-07.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Brightwell, Graham R.; Felsner, Stefan; Trotter, William T. (1995). "Balancing pairs and the cross product conjecture". Order. 12 (4): 327–349. CiteSeerX 10.1.1.38.7841. doi:10.1007/BF01110378. MR 1368815. S2CID 14793475..
Katz, Nets; Tao, Terence (2002). "Recent progress on the Kakeya conjecture". Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations (El Escorial, 2000). Publicacions Matemàtiques. pp. 161–179. CiteSeerX 10.1.1.241.5335. doi:10.5565/PUBLMAT_Esco02_07. MR 1964819. S2CID 77088.
Molloy, Michael; Reed, Bruce (1998). "A bound on the total chromatic number". Combinatorica. 18 (2): 241–280. CiteSeerX 10.1.1.24.6514. doi:10.1007/PL00009820. MR 1656544. S2CID 9600550..
Gupta, Anupam; Newman, Ilan; Rabinovich, Yuri; Sinclair, Alistair (2004). "Cuts, trees and $\ell _{1}$ -embeddings of graphs". Combinatorica. 24 (2): 233–269. CiteSeerX 10.1.1.698.8978. doi:10.1007/s00493-004-0015-x. MR 2071334. S2CID 46133408.
Hliněný, Petr (2010). "20 years of Negami's planar cover conjecture" (PDF). Graphs and Combinatorics. 26 (4): 525–536. CiteSeerX 10.1.1.605.4932. doi:10.1007/s00373-010-0934-9. MR 2669457. S2CID 121645. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-10-04..
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. (2012). "Vizing's conjecture: a survey and recent results". Journal of Graph Theory. 69 (1): 46–76. CiteSeerX 10.1.1.159.7029. doi:10.1002/jgt.20565. MR 2864622. S2CID 9120720..
Khare, Chandrashekhar; Wintenberger, Jean-Pierre (2009). "Serre's modularity conjecture (I)". Inventiones Mathematicae. 178 (3): 485–504. Bibcode:2009InMat.178..485K. CiteSeerX 10.1.1.518.4611. doi:10.1007/s00222-009-0205-7. S2CID 14846347.
Khare, Chandrashekhar; Wintenberger, Jean-Pierre (2009). "Serre's modularity conjecture (II)". Inventiones Mathematicae. 178 (3): 505–586. Bibcode:2009InMat.178..505K. CiteSeerX 10.1.1.228.8022. doi:10.1007/s00222-009-0206-6. S2CID 189820189.
Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived (PDF) from the original on 2011-05-10. Retrieved 2016-03-06.
Taylor R, Wiles A (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255. Archived from the original on 16 September 2000.
Voevodsky, Vladimir (2003). "Reduced power operations in motivic cohomology". Publications Mathématiques de l'IHÉS. 98: 1–57. arXiv:math/0107109. CiteSeerX 10.1.1.170.4427. doi:10.1007/s10240-003-0009-z. S2CID 8172797. Archived from the original on 2017-07-28. Retrieved 2016-03-18.

quantamagazine.org (Global: 6,413^th place; English: 4,268^th place)

Wolchover, Natalie (July 11, 2017). "Pentagon Tiling Proof Solves Century-Old Math Problem". Quanta Magazine. Archived from the original on August 6, 2017. Retrieved July 18, 2017.
Hartnett, Kevin (19 February 2020). "Rainbow Proof Shows Graphs Have Uniform Parts". Quanta Magazine. Retrieved 2020-02-29.
Klarreich, Erica (2020-05-19). "Graduate Student Solves Decades-Old Conway Knot Problem". Quanta Magazine. Retrieved 2022-08-17.
Wolchover, Natalie (March 28, 2017). "A Long-Sought Proof, Found and Almost Lost". Quanta Magazine. Archived from the original on April 24, 2017. Retrieved May 2, 2017.

researchgate.net (Global: 120^th place; English: 125^th place)

Kozerenko, Sergiy; Skochko, Volodymyr (2014). "On graphs with graphic imbalance sequences". Algebra and Discrete Mathematics. 18 (1): 97–108.
Chen, Zhibo (1996). "Harary's conjectures on integral sum graphs". Discrete Mathematics. 160 (1–3): 241–244. doi:10.1016/0012-365X(95)00163-Q.
Namazi, Hossein; Souto, Juan (2012). "Non-realizability and ending laminations: Proof of the density conjecture". Acta Mathematica. 209 (2): 323–395. doi:10.1007/s11511-012-0088-0.
Norio Iwase (1 November 1998). "Ganea's Conjecture on Lusternik-Schnirelmann Category". ResearchGate.

richardpmann.com (Global: low place; English: low place)

Richard P Mann. "Known Historical Beggar-My-Neighbour Records". Retrieved 2024-02-10.

sciencedirect.com (Global: 149^th place; English: 178^th place)

Bailey, R. F.; Stevens, B. (2010). "Hamiltonian decompositions of complete $k$-uniform hypergraphs". Discrete Mathematics. 310 (22): 3088–3095. doi:10.1016/j.disc.2009.03.047. ISSN 0012-365X.
Glen, Marc; Kitaev, Sergey; Pyatkin, Artem (2018). "On the representation number of a crown graph". Discrete Applied Mathematics. 244: 89–93. arXiv:1609.00674. doi:10.1016/j.dam.2018.03.013. S2CID 46925617.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture I: Special separations". Journal of Combinatorial Theory, Series B. 144: 197–224. arXiv:1511.05020. doi:10.1016/j.jctb.2019.11.008. ISSN 0095-8956. S2CID 29791394.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture II: 2-Vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 225–264. arXiv:1602.07557. doi:10.1016/j.jctb.2019.11.007. ISSN 0095-8956. S2CID 220369443.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-09). "The Kelmans-Seymour conjecture III: 3-vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 265–308. arXiv:1609.05747. doi:10.1016/j.jctb.2019.11.006. ISSN 0095-8956. S2CID 119625722.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-19). "The Kelmans-Seymour conjecture IV: A proof". Journal of Combinatorial Theory, Series B. 144: 309–358. arXiv:1612.07189. doi:10.1016/j.jctb.2019.12.002. ISSN 0095-8956. S2CID 119175309.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Friedl, Stefan (2014). "Thurston's vision and the virtual fibering theorem for 3-manifolds". Jahresbericht der Deutschen Mathematiker-Vereinigung. 116 (4): 223–241. doi:10.1365/s13291-014-0102-x. MR 3280572. S2CID 56322745.
Kung, H. T.; Traub, Joseph Frederick (1974). "Optimal order of one-point and multipoint iteration". Journal of the ACM. 21 (4): 643–651. doi:10.1145/321850.321860. S2CID 74921.
Brightwell, Graham R.; Felsner, Stefan; Trotter, William T. (1995). "Balancing pairs and the cross product conjecture". Order. 12 (4): 327–349. CiteSeerX 10.1.1.38.7841. doi:10.1007/BF01110378. MR 1368815. S2CID 14793475..
González-Jiménez, Enrique; Xarles, Xavier (2014). "On a conjecture of Rudin on squares in arithmetic progressions". LMS Journal of Computation and Mathematics. 17 (1): 58–76. arXiv:1301.5122. doi:10.1112/S1461157013000259. S2CID 11615385.
Bruhn, Henning; Schaudt, Oliver (2015). "The journey of the union-closed sets conjecture" (PDF). Graphs and Combinatorics. 31 (6): 2043–2074. arXiv:1309.3297. doi:10.1007/s00373-014-1515-0. MR 3417215. S2CID 17531822. Archived (PDF) from the original on 2017-08-08. Retrieved 2017-07-18.
Liśkiewicz, Maciej; Ogihara, Mitsunori; Toda, Seinosuke (2003-07-28). "The complexity of counting self-avoiding walks in subgraphs of two-dimensional grids and hypercubes". Theoretical Computer Science. 304 (1): 129–156. doi:10.1016/S0304-3975(03)00080-X. S2CID 33806100.
Kaloshin, Vadim; Sorrentino, Alfonso (2018). "On the local Birkhoff conjecture for convex billiards". Annals of Mathematics. 188 (1): 315–380. arXiv:1612.09194. doi:10.4007/annals.2018.188.1.6. S2CID 119171182.
Barlet, Daniel; Peternell, Thomas; Schneider, Michael (1990). "On two conjectures of Hartshorne's". Mathematische Annalen. 286 (1–3): 13–25. doi:10.1007/BF01453563. S2CID 122151259.
Bereg, Sergey; Dumitrescu, Adrian; Jiang, Minghui (2010). "On covering problems of Rado". Algorithmica. 57 (3): 538–561. doi:10.1007/s00453-009-9298-z. MR 2609053. S2CID 6511998.
Musin, Oleg R.; Tarasov, Alexey S. (2015). "The Tammes Problem for N = 14". Experimental Mathematics. 24 (4): 460–468. doi:10.1080/10586458.2015.1022842. S2CID 39429109.
Ghosh, Subir Kumar; Goswami, Partha P. (2013). "Unsolved problems in visibility graphs of points, segments, and polygons". ACM Computing Surveys. 46 (2): 22:1–22:29. arXiv:1012.5187. doi:10.1145/2543581.2543589. S2CID 8747335.
Morris, Walter D.; Soltan, Valeriu (2000). "The Erdős-Szekeres problem on points in convex position—a survey". Bull. Amer. Math. Soc. 37 (4): 437–458. doi:10.1090/S0273-0979-00-00877-6. MR 1779413.; Suk, Andrew (2016). "On the Erdős–Szekeres convex polygon problem". J. Amer. Math. Soc. 30 (4): 1047–1053. arXiv:1604.08657. doi:10.1090/jams/869. S2CID 15732134.
Kalai, Gil (1989). "The number of faces of centrally-symmetric polytopes". Graphs and Combinatorics. 5 (1): 389–391. doi:10.1007/BF01788696. MR 1554357. S2CID 8917264..
Burr, S. A.; Grünbaum, B.; Sloane, N. J. A. (1974). "The Orchard problem". Geometriae Dedicata. 2 (4): 397–424. doi:10.1007/BF00147569. S2CID 120906839.
Atiyah, Michael (2001). "Configurations of points". Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 359 (1784): 1375–1387. Bibcode:2001RSPTA.359.1375A. doi:10.1098/rsta.2001.0840. ISSN 1364-503X. MR 1853626. S2CID 55833332.
Howards, Hugh Nelson (2013). "Forming the Borromean rings out of arbitrary polygonal unknots". Journal of Knot Theory and Its Ramifications. 22 (14): 1350083, 15. arXiv:1406.3370. doi:10.1142/S0218216513500831. MR 3190121. S2CID 119674622.
Solomon, Yaar; Weiss, Barak (2016). "Dense forests and Danzer sets". Annales Scientifiques de l'École Normale Supérieure. 49 (5): 1053–1074. arXiv:1406.3807. doi:10.24033/asens.2303. MR 3581810. S2CID 672315.; Conway, John H. Five $1,000 Problems (Update 2017) (PDF). On-Line Encyclopedia of Integer Sequences. Archived (PDF) from the original on 2019-02-13. Retrieved 2019-02-12.
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub (2009). "On nonobtuse simplicial partitions" (PDF). SIAM Review. 51 (2): 317–335. Bibcode:2009SIAMR..51..317B. doi:10.1137/060669073. MR 2505583. S2CID 216078793. Archived (PDF) from the original on 2018-11-04. Retrieved 2018-11-22.. See in particular Conjecture 23, p. 327.
Katz, Nets; Tao, Terence (2002). "Recent progress on the Kakeya conjecture". Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations (El Escorial, 2000). Publicacions Matemàtiques. pp. 161–179. CiteSeerX 10.1.1.241.5335. doi:10.5565/PUBLMAT_Esco02_07. MR 1964819. S2CID 77088.
Chai, Ying; Yuan, Liping; Zamfirescu, Tudor (June–July 2018). "Rupert Property of Archimedean Solids". The American Mathematical Monthly. 125 (6): 497–504. doi:10.1080/00029890.2018.1449505. S2CID 125508192.
Pleanmani, Nopparat (2019). "Graham's pebbling conjecture holds for the product of a graph and a sufficiently large complete bipartite graph". Discrete Mathematics, Algorithms and Applications. 11 (6): 1950068, 7. doi:10.1142/s179383091950068x. MR 4044549. S2CID 204207428.
Baird, William; Bonato, Anthony (2012). "Meyniel's conjecture on the cop number: a survey". Journal of Combinatorics. 3 (2): 225–238. arXiv:1308.3385. doi:10.4310/JOC.2012.v3.n2.a6. MR 2980752. S2CID 18942362.
Bousquet, Nicolas; Bartier, Valentin (2019). "Linear Transformations Between Colorings in Chordal Graphs". In Bender, Michael A.; Svensson, Ola; Herman, Grzegorz (eds.). 27th Annual European Symposium on Algorithms, ESA 2019, September 9-11, 2019, Munich/Garching, Germany. LIPIcs. Vol. 144. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. pp. 24:1–24:15. doi:10.4230/LIPIcs.ESA.2019.24. ISBN 978-3-95977-124-5. S2CID 195791634.
Molloy, Michael; Reed, Bruce (1998). "A bound on the total chromatic number". Combinatorica. 18 (2): 241–280. CiteSeerX 10.1.1.24.6514. doi:10.1007/PL00009820. MR 1656544. S2CID 9600550..
Gupta, Anupam; Newman, Ilan; Rabinovich, Yuri; Sinclair, Alistair (2004). "Cuts, trees and $\ell _{1}$ -embeddings of graphs". Combinatorica. 24 (2): 233–269. CiteSeerX 10.1.1.698.8978. doi:10.1007/s00493-004-0015-x. MR 2071334. S2CID 46133408.
Hliněný, Petr (2010). "20 years of Negami's planar cover conjecture" (PDF). Graphs and Combinatorics. 26 (4): 525–536. CiteSeerX 10.1.1.605.4932. doi:10.1007/s00373-010-0934-9. MR 2669457. S2CID 121645. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-10-04..
Nöllenburg, Martin; Prutkin, Roman; Rutter, Ignaz (2016). "On self-approaching and increasing-chord drawings of 3-connected planar graphs". Journal of Computational Geometry. 7 (1): 47–69. arXiv:1409.0315. doi:10.20382/jocg.v7i1a3. MR 3463906. S2CID 1500695.
Ducey, Joshua E. (2017). "On the critical group of the missing Moore graph". Discrete Mathematics. 340 (5): 1104–1109. arXiv:1509.00327. doi:10.1016/j.disc.2016.10.001. MR 3612450. S2CID 28297244.
Blokhuis, A.; Brouwer, A. E. (1988). "Geodetic graphs of diameter two". Geometriae Dedicata. 25 (1–3): 527–533. doi:10.1007/BF00191941. MR 0925851. S2CID 189890651.
Broersma, Hajo; Patel, Viresh; Pyatkin, Artem (2014). "On toughness and Hamiltonicity of $2K_2$-free graphs" (PDF). Journal of Graph Theory. 75 (3): 244–255. doi:10.1002/jgt.21734. MR 3153119. S2CID 1377980.
Chudnovsky, Maria (2014). "The Erdös–Hajnal conjecture—a survey" (PDF). Journal of Graph Theory. 75 (2): 178–190. arXiv:1606.08827. doi:10.1002/jgt.21730. MR 3150572. S2CID 985458. Zbl 1280.05086. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-09-22..
Kühn, Daniela; Mycroft, Richard; Osthus, Deryk (2011). "A proof of Sumner's universal tournament conjecture for large tournaments". Proceedings of the London Mathematical Society. Third Series. 102 (4): 731–766. arXiv:1010.4430. doi:10.1112/plms/pdq035. MR 2793448. S2CID 119169562. Zbl 1218.05034..
Tuza, Zsolt (1990). "A conjecture on triangles of graphs". Graphs and Combinatorics. 6 (4): 373–380. doi:10.1007/BF01787705. MR 1092587. S2CID 38821128.
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. (2012). "Vizing's conjecture: a survey and recent results". Journal of Graph Theory. 69 (1): 46–76. CiteSeerX 10.1.1.159.7029. doi:10.1002/jgt.20565. MR 2864622. S2CID 9120720..
Kitaev, Sergey; Lozin, Vadim (2015). Words and Graphs. Monographs in Theoretical Computer Science. An EATCS Series. doi:10.1007/978-3-319-25859-1. ISBN 978-3-319-25857-7. S2CID 7727433 – via link.springer.com.
Kitaev, S. V.; Pyatkin, A. V. (April 1, 2018). "Word-Representable Graphs: a Survey". Journal of Applied and Industrial Mathematics. 12 (2): 278–296. doi:10.1134/S1990478918020084. S2CID 125814097 – via Springer Link.
Glen, Marc; Kitaev, Sergey; Pyatkin, Artem (2018). "On the representation number of a crown graph". Discrete Applied Mathematics. 244: 89–93. arXiv:1609.00674. doi:10.1016/j.dam.2018.03.013. S2CID 46925617.
Hrushovski, Ehud (1989). "Kueker's conjecture for stable theories". Journal of Symbolic Logic. 54 (1): 207–220. doi:10.2307/2275025. JSTOR 2275025. S2CID 41940041.
Peretz, Assaf (2006). "Geometry of forking in simple theories". Journal of Symbolic Logic. 71 (1): 347–359. arXiv:math/0412356. doi:10.2178/jsl/1140641179. S2CID 9380215.
Cherlin, Gregory; Shelah, Saharon (May 2007). "Universal graphs with a forbidden subtree". Journal of Combinatorial Theory. Series B. 97 (3): 293–333. arXiv:math/0512218. doi:10.1016/j.jctb.2006.05.008. S2CID 10425739.
Shelah, Saharon (1999). "Borel sets with large squares". Fundamenta Mathematicae. 159 (1): 1–50. arXiv:math/9802134. Bibcode:1998math......2134S. doi:10.4064/fm-159-1-1-50. S2CID 8846429.
Keisler, HJ (1967). "Ultraproducts which are not saturated". J. Symb. Log. 32 (1): 23–46. doi:10.2307/2271240. JSTOR 2271240. S2CID 250345806.
Guo, Song; Sun, Zhi-Wei (2005). "On odd covering systems with distinct moduli". Advances in Applied Mathematics. 35 (2): 182–187. arXiv:math/0412217. doi:10.1016/j.aam.2005.01.004. MR 2152886. S2CID 835158.
Mazur, Barry (1992). "The topology of rational points". Experimental Mathematics. 1 (1): 35–45. doi:10.1080/10586458.1992.10504244. S2CID 17372107. Archived from the original on 2019-04-07. Retrieved 2019-04-07.
Kuperberg, Greg (1994). "Quadrisecants of knots and links". Journal of Knot Theory and Its Ramifications. 3: 41–50. arXiv:math/9712205. doi:10.1142/S021821659400006X. MR 1265452. S2CID 6103528.
Dimitrov, Vessilin; Gao, Ziyang; Habegger, Philipp (2021). "Uniformity in Mordell–Lang for curves" (PDF). Annals of Mathematics. 194: 237–298. arXiv:2001.10276. doi:10.4007/annals.2021.194.1.4. S2CID 210932420.
Guan, Qi'an; Zhou, Xiangyu (2015). "A solution of an $L^{2}$ extension problem with optimal estimate and applications". Annals of Mathematics. 181 (3): 1139–1208. arXiv:1310.7169. doi:10.4007/annals.2015.181.3.6. JSTOR 24523356. S2CID 56205818.
Merel, Loïc (1996). ""Bornes pour la torsion des courbes elliptiques sur les corps de nombres" [Bounds for the torsion of elliptic curves over number fields]". Inventiones Mathematicae. 124 (1): 437–449. Bibcode:1996InMat.124..437M. doi:10.1007/s002220050059. MR 1369424. S2CID 3590991.
Kurdyka, Krzysztof; Mostowski, Tadeusz; Parusiński, Adam (2000). "Proof of the gradient conjecture of R. Thom". Annals of Mathematics. 152 (3): 763–792. arXiv:math/9906212. doi:10.2307/2661354. JSTOR 2661354. S2CID 119137528.
Moreira, Joel; Richter, Florian K.; Robertson, Donald (2019). "A proof of a sumset conjecture of Erdős". Annals of Mathematics. 189 (2): 605–652. arXiv:1803.00498. doi:10.4007/annals.2019.189.2.4. S2CID 119158401.
Santos, Franciscos (2012). "A counterexample to the Hirsch conjecture". Annals of Mathematics. 176 (1): 383–412. arXiv:1006.2814. doi:10.4007/annals.2012.176.1.7. S2CID 15325169.
Green, Ben (2004). "The Cameron–Erdős conjecture". The Bulletin of the London Mathematical Society. 36 (6): 769–778. arXiv:math.NT/0304058. doi:10.1112/S0024609304003650. MR 2083752. S2CID 119615076.
Xue, Jinxin (2020). "Non-collision singularities in a planar 4-body problem". Acta Mathematica. 224 (2): 253–388. doi:10.4310/ACTA.2020.v224.n2.a2. S2CID 226420221.
Mathe, Andras (2007). "The Angel of power 2 wins" (PDF). Combinatorics, Probability and Computing. 16 (3): 363–374. doi:10.1017/S0963548306008303. S2CID 16892955. Archived (PDF) from the original on 2016-10-13. Retrieved 2016-03-18.
Kerz, Moritz; Strunk, Florian; Tamme, Georg (2018). "Algebraic K-theory and descent for blow-ups". Inventiones Mathematicae. 211 (2): 523–577. arXiv:1611.08466. Bibcode:2018InMat.211..523K. doi:10.1007/s00222-017-0752-2. MR 3748313. S2CID 253741858.
Marques, Fernando C.; Neves, André (2013). "Min-max theory and the Willmore conjecture". Annals of Mathematics. 179 (2): 683–782. arXiv:1202.6036. doi:10.4007/annals.2014.179.2.6. S2CID 50742102.
Connelly, Robert; Demaine, Erik D.; Rote, Günter (2003). "Straightening polygonal arcs and convexifying polygonal cycles" (PDF). Discrete & Computational Geometry. 30 (2): 205–239. doi:10.1007/s00454-003-0006-7. MR 1931840. S2CID 40382145.
Ullmo, E (1998). "Positivité et Discrétion des Points Algébriques des Courbes". Annals of Mathematics. 147 (1): 167–179. arXiv:alg-geom/9606017. doi:10.2307/120987. JSTOR 120987. S2CID 119717506. Zbl 0934.14013.
Dujmović, Vida; Eppstein, David; Hickingbotham, Robert; Morin, Pat; Wood, David R. (August 2021). "Stack-number is not bounded by queue-number". Combinatorica. 42 (2): 151–164. arXiv:2011.04195. doi:10.1007/s00493-021-4585-7. S2CID 226281691.
Shitov, Yaroslav (1 September 2019). "Counterexamples to Hedetniemi's conjecture". Annals of Mathematics. 190 (2): 663–667. arXiv:1905.02167. doi:10.4007/annals.2019.190.2.6. JSTOR 10.4007/annals.2019.190.2.6. MR 3997132. S2CID 146120733. Zbl 1451.05087. Retrieved 19 July 2021.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture I: Special separations". Journal of Combinatorial Theory, Series B. 144: 197–224. arXiv:1511.05020. doi:10.1016/j.jctb.2019.11.008. ISSN 0095-8956. S2CID 29791394.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture II: 2-Vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 225–264. arXiv:1602.07557. doi:10.1016/j.jctb.2019.11.007. ISSN 0095-8956. S2CID 220369443.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-09). "The Kelmans-Seymour conjecture III: 3-vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 265–308. arXiv:1609.05747. doi:10.1016/j.jctb.2019.11.006. ISSN 0095-8956. S2CID 119625722.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-19). "The Kelmans-Seymour conjecture IV: A proof". Journal of Combinatorial Theory, Series B. 144: 309–358. arXiv:1612.07189. doi:10.1016/j.jctb.2019.12.002. ISSN 0095-8956. S2CID 119175309.
Abdollahi A., Zallaghi M. (2015). "Character sums for Cayley graphs". Communications in Algebra. 43 (12): 5159–5167. doi:10.1080/00927872.2014.967398. S2CID 117651702.
Chudnovsky, Maria; Robertson, Neil; Seymour, Paul; Thomas, Robin (2002). "The strong perfect graph theorem". Annals of Mathematics. 164: 51–229. arXiv:math/0212070. Bibcode:2002math.....12070C. doi:10.4007/annals.2006.164.51. S2CID 119151552.
Friedman, Joel (January 2015). "Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks" (PDF). Memoirs of the American Mathematical Society. 233 (1100): 0. doi:10.1090/memo/1100. ISSN 0065-9266. S2CID 117941803.
Bourgain, Jean; Ciprian, Demeter; Larry, Guth (2015). "Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three". Annals of Mathematics. 184 (2): 633–682. arXiv:1512.01565. Bibcode:2015arXiv151201565B. doi:10.4007/annals.2016.184.2.7. hdl:1721.1/115568. S2CID 43929329.
Maynard, James (2015-01-01). "Small gaps between primes". Annals of Mathematics: 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. ISSN 0003-486X. S2CID 55175056.
Cilleruelo, Javier (2010). "Generalized Sidon sets". Advances in Mathematics. 225 (5): 2786–2807. doi:10.1016/j.aim.2010.05.010. hdl:10261/31032. S2CID 7385280.
Khare, Chandrashekhar; Wintenberger, Jean-Pierre (2009). "Serre's modularity conjecture (I)". Inventiones Mathematicae. 178 (3): 485–504. Bibcode:2009InMat.178..485K. CiteSeerX 10.1.1.518.4611. doi:10.1007/s00222-009-0205-7. S2CID 14846347.
Khare, Chandrashekhar; Wintenberger, Jean-Pierre (2009). "Serre's modularity conjecture (II)". Inventiones Mathematicae. 178 (3): 505–586. Bibcode:2009InMat.178..505K. CiteSeerX 10.1.1.228.8022. doi:10.1007/s00222-009-0206-6. S2CID 189820189.
Croot, Ernest S. III (2000). Unit Fractions. Ph.D. thesis. University of Georgia, Athens. Croot, Ernest S. III (2003). "On a coloring conjecture about unit fractions". Annals of Mathematics. 157 (2): 545–556. arXiv:math.NT/0311421. Bibcode:2003math.....11421C. doi:10.4007/annals.2003.157.545. S2CID 13514070.
Lee, Choongbum (2017). "Ramsey numbers of degenerate graphs". Annals of Mathematics. 185 (3): 791–829. arXiv:1505.04773. doi:10.4007/annals.2017.185.3.2. S2CID 7974973.
Heule, Marijn J. H.; Kullmann, Oliver; Marek, Victor W. (2016). "Solving and Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer". In Creignou, N.; Le Berre, D. (eds.). Theory and Applications of Satisfiability Testing – SAT 2016. Lecture Notes in Computer Science. Vol. 9710. Springer, [Cham]. pp. 228–245. arXiv:1605.00723. doi:10.1007/978-3-319-40970-2_15. ISBN 978-3-319-40969-6. MR 3534782. S2CID 7912943.
Piccirillo, Lisa (2020). "The Conway knot is not slice". Annals of Mathematics. 191 (2): 581–591. doi:10.4007/annals.2020.191.2.5. S2CID 52398890.
Agol, Ian (2013). "The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves, and Jason Manning)" (PDF). Documenta Mathematica. 18: 1045–1087. arXiv:1204.2810v1. doi:10.4171/dm/421. S2CID 255586740.
Austin, Tim (December 2013). "Rational group ring elements with kernels having irrational dimension". Proceedings of the London Mathematical Society. 107 (6): 1424–1448. arXiv:0909.2360. Bibcode:2009arXiv0909.2360A. doi:10.1112/plms/pdt029. S2CID 115160094.
Lurie, Jacob (2009). "On the classification of topological field theories". Current Developments in Mathematics. 2008: 129–280. arXiv:0905.0465. Bibcode:2009arXiv0905.0465L. doi:10.4310/cdm.2008.v2008.n1.a3. S2CID 115162503.
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken (1 December 2015). "Proof of the umbral moonshine conjecture". Research in the Mathematical Sciences. 2 (1): 26. arXiv:1503.01472. Bibcode:2015arXiv150301472D. doi:10.1186/s40687-015-0044-7. S2CID 43589605.
Mattman, Thomas W.; Solis, Pablo (2009). "A proof of the Kauffman-Harary Conjecture". Algebraic & Geometric Topology. 9 (4): 2027–2039. arXiv:0906.1612. Bibcode:2009arXiv0906.1612M. doi:10.2140/agt.2009.9.2027. S2CID 8447495.
Dencker, Nils (2006). "The resolution of the Nirenberg–Treves conjecture" (PDF). Annals of Mathematics. 163 (2): 405–444. doi:10.4007/annals.2006.163.405. S2CID 16630732. Archived (PDF) from the original on 2018-07-20. Retrieved 2019-04-07.
Lewis, A. S.; Parrilo, P. A.; Ramana, M. V. (2005). "The Lax conjecture is true". Proceedings of the American Mathematical Society. 133 (9): 2495–2499. doi:10.1090/S0002-9939-05-07752-X. MR 2146191. S2CID 17436983.
Voevodsky, Vladimir (2003). "Reduced power operations in motivic cohomology". Publications Mathématiques de l'IHÉS. 98: 1–57. arXiv:math/0107109. CiteSeerX 10.1.1.170.4427. doi:10.1007/s10240-003-0009-z. S2CID 8172797. Archived from the original on 2017-07-28. Retrieved 2016-03-18.
Haiman, Mark (2001). "Hilbert schemes, polygraphs and the Macdonald positivity conjecture". Journal of the American Mathematical Society. 14 (4): 941–1006. doi:10.1090/S0894-0347-01-00373-3. MR 1839919. S2CID 9253880.

sfu.ca (Global: 3,413^th place; English: 2,445^th place)

"Dedekind Numbers and Related Sequences" (PDF). Archived from the original (PDF) on 2015-03-15. Retrieved 2020-04-30.

siam.org (Global: low place; English: 6,473^rd place)

Mackenzie, Dana. "Kadison–Singer Problem Solved" (PDF). SIAM News. No. January/February 2014. Society for Industrial and Applied Mathematics. Archived (PDF) from the original on 23 October 2014. Retrieved 24 April 2015.

smith.edu (Global: 2,717^th place; English: 2,175^th place)

cs.smith.edu

Demaine, E.; O'Rourke, J. (2002–2012). "Problem 45: Smallest Universal Set of Points for Planar Graphs". The Open Problems Project. Archived from the original on 2012-08-14. Retrieved 2013-03-19..

sorbonne-universite.fr (Global: low place; English: low place)

hal.sorbonne-universite.fr

Dimitrov, Vessilin; Gao, Ziyang; Habegger, Philipp (2021). "Uniformity in Mordell–Lang for curves" (PDF). Annals of Mathematics. 194: 237–298. arXiv:2001.10276. doi:10.4007/annals.2021.194.1.4. S2CID 210932420.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Aichholzer, Oswin; García, Jesús; Orden, David; Ramos, Pedro (2007). "New Lower Bounds for the Number of (≤ k)-Edges and the Rectilinear Crossing Number of Kn" (PDF). Discrete & Computational Geometry. 38 (1): 1–14. doi:10.1007/s00454-007-1325-8. Retrieved 22 July 2025.
Kitaev, Sergey; Lozin, Vadim (2015). Words and Graphs. Monographs in Theoretical Computer Science. An EATCS Series. doi:10.1007/978-3-319-25859-1. ISBN 978-3-319-25857-7. S2CID 7727433 – via link.springer.com.
Kontsevich, Maxim; Zagier, Don (2001). Engquist, Björn; Schmid, Wilfried (eds.). "Periods". Mathematics Unlimited — 2001 and Beyond. Berlin, Heidelberg: Springer. pp. 771–808. doi:10.1007/978-3-642-56478-9_39. ISBN 978-3-642-56478-9. Retrieved 2024-08-22.

stanford.edu (Global: 179^th place; English: 183^rd place)

math.stanford.edu

Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived (PDF) from the original on 2011-05-10. Retrieved 2016-03-06.

theguardian.com (Global: 12^th place; English: 11^th place)

Bellos, Alex (2014-08-13). "Fields Medals 2014: the maths of Avila, Bhargava, Hairer and Mirzakhani explained". The Guardian. Archived from the original on 2016-10-21. Retrieved 2018-07-07.

ubc.ca (Global: 1,997^th place; English: 1,295^th place)

cs.ubc.ca

Friedman, Joel (January 2015). "Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks" (PDF). Memoirs of the American Mathematical Society. 233 (1100): 0. doi:10.1090/memo/1100. ISSN 0065-9266. S2CID 117941803.

uchicago.edu (Global: 230^th place; English: 214^th place)

newtraell.cs.uchicago.edu

Babai, László (June 9, 1994). "Automorphism groups, isomorphism, reconstruction". Handbook of Combinatorics. Archived from the original (PostScript) on 13 June 2007.

uic.edu (Global: 5,752^nd place; English: 3,776^th place)

math.uic.edu

Baldwin, John T. (July 24, 2009). Categoricity (PDF). American Mathematical Society. ISBN 978-0-8218-4893-7. Archived (PDF) from the original on July 29, 2010. Retrieved February 20, 2014.

uni-bielefeld.de (Global: 9,437^th place; English: low place)

math.uni-bielefeld.de

Ziegler, Günter M. (2012). "Who solved the Hirsch conjecture?". Documenta Mathematica. Documenta Mathematica Series. 6 (Extra Volume "Optimization Stories"): 75–85. doi:10.4171/dms/6/13. ISBN 978-3-936609-58-5.
Lafforgue, Laurent (1998). "Chtoucas de Drinfeld et applications" [Drinfelʹd shtukas and applications]. Documenta Mathematica (in French). II: 563–570. ISSN 1431-0635. MR 1648105. Archived from the original on 2018-04-27. Retrieved 2016-03-18.
Agol, Ian (2013). "The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves, and Jason Manning)" (PDF). Documenta Mathematica. 18: 1045–1087. arXiv:1204.2810v1. doi:10.4171/dm/421. S2CID 255586740.

uni-hamburg.de (Global: 3,809^th place; English: 5,200^th place)

math.uni-hamburg.de

Diestel, Reinhard (2005). "Minors, Trees, and WQO" (PDF). Graph Theory (Electronic Edition 2005 ed.). Springer. pp. 326–367.

uni-koeln.de (Global: 2,455^th place; English: 3,121^st place)

zaik.uni-koeln.de

Bruhn, Henning; Schaudt, Oliver (2015). "The journey of the union-closed sets conjecture" (PDF). Graphs and Combinatorics. 31 (6): 2043–2074. arXiv:1309.3297. doi:10.1007/s00373-014-1515-0. MR 3417215. S2CID 17531822. Archived (PDF) from the original on 2017-08-08. Retrieved 2017-07-18.

usask.ca (Global: 7,865^th place; English: 5,092^nd place)

math.usask.ca

"DNIESTER NOTEBOOK: Unsolved Problems in the Theory of Rings and Modules" (PDF). University of Saskatchewan. Retrieved 2019-08-15.

utk.edu (Global: 4,653^rd place; English: 3,286^th place)

math.utk.edu

"Broad Agency Announcement (BAA 07-68) for Defense Sciences Office (DSO)". DARPA. 2007-09-10. Archived from the original on 2012-10-01. Retrieved 2013-06-25.

utsa.edu (Global: low place; English: 9,359^th place)

cs.utsa.edu

Wagner, Neal R. (1976). "The Sofa Problem" (PDF). The American Mathematical Monthly. 83 (3): 188–189. doi:10.2307/2977022. JSTOR 2977022. Archived (PDF) from the original on 2015-04-20. Retrieved 2014-05-14.

utwente.nl (Global: low place; English: 8,900^th place)

ris.utwente.nl

Broersma, Hajo; Patel, Viresh; Pyatkin, Artem (2014). "On toughness and Hamiltonicity of $2K_2$-free graphs" (PDF). Journal of Graph Theory. 75 (3): 244–255. doi:10.1002/jgt.21734. MR 3153119. S2CID 1377980.

uva.nl (Global: 3,518^th place; English: 2,652^nd place)

pure.uva.nl

Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub (2009). "On nonobtuse simplicial partitions" (PDF). SIAM Review. 51 (2): 317–335. Bibcode:2009SIAMR..51..317B. doi:10.1137/060669073. MR 2505583. S2CID 216078793. Archived (PDF) from the original on 2018-11-04. Retrieved 2018-11-22.. See in particular Conjecture 23, p. 327.

warwick.ac.uk (Global: 4,378^th place; English: 2,689^th place)

homepages.warwick.ac.uk

Bowditch, Brian H. (2006). "The angel game in the plane" (PDF). School of Mathematics, University of Southampton: warwick.ac.uk Warwick University. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-03-18.
Mathe, Andras (2007). "The Angel of power 2 wins" (PDF). Combinatorics, Probability and Computing. 16 (3): 363–374. doi:10.1017/S0963548306008303. S2CID 16892955. Archived (PDF) from the original on 2016-10-13. Retrieved 2016-03-18.

web.archive.org (Global: 1^st place; English: 1^st place)

Guy, Richard (1994). Unsolved Problems in Number Theory (2nd ed.). Springer. p. vii. ISBN 978-1-4899-3585-4. Archived from the original on 2019-03-23. Retrieved 2016-09-22..
"Millennium Problems". claymath.org. Archived from the original on 2017-06-06. Retrieved 2015-01-20.
"Fields Medal awarded to Artur Avila". Centre national de la recherche scientifique. 2014-08-13. Archived from the original on 2018-07-10. Retrieved 2018-07-07.
Bellos, Alex (2014-08-13). "Fields Medals 2014: the maths of Avila, Bhargava, Hairer and Mirzakhani explained". The Guardian. Archived from the original on 2016-10-21. Retrieved 2018-07-07.
"DARPA invests in math". CNN. 2008-10-14. Archived from the original on 2009-03-04. Retrieved 2013-01-14.
"Broad Agency Announcement (BAA 07-68) for Defense Sciences Office (DSO)". DARPA. 2007-09-10. Archived from the original on 2012-10-01. Retrieved 2013-06-25.
"Poincaré Conjecture". Clay Mathematics Institute. Archived from the original on 2013-12-15.
rybu (November 7, 2009). "Smooth 4-dimensional Poincare conjecture". Open Problem Garden. Archived from the original on 2018-01-25. Retrieved 2019-08-06.
Bruhn, Henning; Schaudt, Oliver (2015). "The journey of the union-closed sets conjecture" (PDF). Graphs and Combinatorics. 31 (6): 2043–2074. arXiv:1309.3297. doi:10.1007/s00373-014-1515-0. MR 3417215. S2CID 17531822. Archived (PDF) from the original on 2017-08-08. Retrieved 2017-07-18.
"Dedekind Numbers and Related Sequences" (PDF). Archived from the original (PDF) on 2015-03-15. Retrieved 2020-04-30.
"Open Q – Solving and rating of hard Sudoku". english.log-it-ex.com. Archived from the original on 10 November 2017.
"Higher-Dimensional Tic-Tac-Toe". PBS Infinite Series. YouTube. 2017-09-21. Archived from the original on 2017-10-11. Retrieved 2018-07-29.
Dupont, Johan L. (2001). Scissors congruences, group homology and characteristic classes. Nankai Tracts in Mathematics. Vol. 1. World Scientific Publishing Co., Inc., River Edge, NJ. p. 6. doi:10.1142/9789812810335. ISBN 978-981-02-4507-8. MR 1832859. Archived from the original on 2016-04-29..
Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019). "More Turán-type theorems for triangles in convex point sets". Electronic Journal of Combinatorics. 26 (1): P1.8. arXiv:1706.10193. Bibcode:2017arXiv170610193A. doi:10.37236/7224. Archived from the original on 2019-02-18. Retrieved 2019-02-18.
Solomon, Yaar; Weiss, Barak (2016). "Dense forests and Danzer sets". Annales Scientifiques de l'École Normale Supérieure. 49 (5): 1053–1074. arXiv:1406.3807. doi:10.24033/asens.2303. MR 3581810. S2CID 672315.; Conway, John H. Five $1,000 Problems (Update 2017) (PDF). On-Line Encyclopedia of Integer Sequences. Archived (PDF) from the original on 2019-02-13. Retrieved 2019-02-12.
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub (2009). "On nonobtuse simplicial partitions" (PDF). SIAM Review. 51 (2): 317–335. Bibcode:2009SIAMR..51..317B. doi:10.1137/060669073. MR 2505583. S2CID 216078793. Archived (PDF) from the original on 2018-11-04. Retrieved 2018-11-22.. See in particular Conjecture 23, p. 327.
Wagner, Neal R. (1976). "The Sofa Problem" (PDF). The American Mathematical Monthly. 83 (3): 188–189. doi:10.2307/2977022. JSTOR 2977022. Archived (PDF) from the original on 2015-04-20. Retrieved 2014-05-14.
ACW (May 24, 2012). "Convex uniform 5-polytopes". Open Problem Garden. Archived from the original on October 5, 2016. Retrieved 2016-10-04..
Hägglund, Jonas; Steffen, Eckhard (2014). "Petersen-colorings and some families of snarks". Ars Mathematica Contemporanea. 7 (1): 161–173. doi:10.26493/1855-3974.288.11a. MR 3047618. Archived from the original on 2016-10-03. Retrieved 2016-09-30..
Hliněný, Petr (2010). "20 years of Negami's planar cover conjecture" (PDF). Graphs and Combinatorics. 26 (4): 525–536. CiteSeerX 10.1.1.605.4932. doi:10.1007/s00373-010-0934-9. MR 2669457. S2CID 121645. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-10-04..
Demaine, E.; O'Rourke, J. (2002–2012). "Problem 45: Smallest Universal Set of Points for Planar Graphs". The Open Problems Project. Archived from the original on 2012-08-14. Retrieved 2013-03-19..
Conway, John H. Five $1,000 Problems (Update 2017) (PDF). Online Encyclopedia of Integer Sequences. Archived (PDF) from the original on 2019-02-13. Retrieved 2019-02-12.
mdevos; Wood, David (December 7, 2019). "Jorgensen's Conjecture". Open Problem Garden. Archived from the original on 2016-11-14. Retrieved 2016-11-13..
Chudnovsky, Maria (2014). "The Erdös–Hajnal conjecture—a survey" (PDF). Journal of Graph Theory. 75 (2): 178–190. arXiv:1606.08827. doi:10.1002/jgt.21730. MR 3150572. S2CID 985458. Zbl 1280.05086. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-09-22..
Babai, László (June 9, 1994). "Automorphism groups, isomorphism, reconstruction". Handbook of Combinatorics. Archived from the original (PostScript) on 13 June 2007.
Schwenk, Allen (2012). Some History on the Reconstruction Conjecture (PDF). Joint Mathematics Meetings. Archived from the original (PDF) on 2015-04-09. Retrieved 2018-11-26.
"Seymour's 2nd Neighborhood Conjecture". faculty.math.illinois.edu. Archived from the original on 11 January 2019. Retrieved 17 August 2022.
mdevos (May 4, 2007). "5-flow conjecture". Open Problem Garden. Archived from the original on November 26, 2018.
mdevos (March 31, 2010). "4-flow conjecture". Open Problem Garden. Archived from the original on November 26, 2018.
Baldwin, John T. (July 24, 2009). Categoricity (PDF). American Mathematical Society. ISBN 978-0-8218-4893-7. Archived (PDF) from the original on July 29, 2010. Retrieved February 20, 2014.
"Are the Digits of Pi Random? Berkeley Lab Researcher May Hold Key". Archived from the original on 2016-03-27. Retrieved 2016-03-18.
Waldschmidt, Michel (2008). An introduction to irrationality and transcendence methods (PDF). 2008 Arizona Winter School. Archived from the original (PDF) on 16 December 2014. Retrieved 15 December 2014.
Albert, John. Some unsolved problems in number theory (PDF). Archived from the original (PDF) on 17 January 2014. Retrieved 15 December 2014.
Albert, John. Some unsolved problems in number theory (PDF). Archived from the original (PDF) on 17 January 2014. Retrieved 15 December 2014.
Mazur, Barry (1992). "The topology of rational points". Experimental Mathematics. 1 (1): 35–45. doi:10.1080/10586458.1992.10504244. S2CID 17372107. Archived from the original on 2019-04-07. Retrieved 2019-04-07.
Mackenzie, Dana. "Kadison–Singer Problem Solved" (PDF). SIAM News. No. January/February 2014. Society for Industrial and Applied Mathematics. Archived (PDF) from the original on 23 October 2014. Retrieved 24 April 2015.
Kalai, Gil (2018-12-25). "Amazing: Karim Adiprasito proved the g-conjecture for spheres!". Archived from the original on 2019-02-16. Retrieved 2019-02-15.
"News from 2007". American Mathematical Society. AMS. 31 December 2007. Archived from the original on 17 November 2015. Retrieved 2015-11-13. The 2007 prize also recognizes Green for "his many outstanding results including his resolution of the Cameron-Erdős conjecture..."
Bowditch, Brian H. (2006). "The angel game in the plane" (PDF). School of Mathematics, University of Southampton: warwick.ac.uk Warwick University. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-03-18.
Kloster, Oddvar. "A Solution to the Angel Problem" (PDF). Oslo, Norway: SINTEF ICT. Archived from the original (PDF) on 2016-01-07. Retrieved 2016-03-18.
Mathe, Andras (2007). "The Angel of power 2 wins" (PDF). Combinatorics, Probability and Computing. 16 (3): 363–374. doi:10.1017/S0963548306008303. S2CID 16892955. Archived (PDF) from the original on 2016-10-13. Retrieved 2016-03-18.
Gacs, Peter (June 19, 2007). "THE ANGEL WINS" (PDF). Archived from the original (PDF) on 2016-03-04. Retrieved 2016-03-18.
Wolchover, Natalie (July 11, 2017). "Pentagon Tiling Proof Solves Century-Old Math Problem". Quanta Magazine. Archived from the original on August 6, 2017. Retrieved July 18, 2017.
Henle, Frederick V.; Henle, James M. "Squaring the Plane" (PDF). maa.org Mathematics Association of America. Archived (PDF) from the original on 2016-03-24. Retrieved 2016-03-18.
"Bounded gaps between primes – Polymath Wiki". asone.ai. Archived from the original on 2020-12-08. Retrieved 2021-08-27.
"2011 Cole Prize in Number Theory" (PDF). Notices of the AMS. 58 (4): 610–611. ISSN 1088-9477. OCLC 34550461. Archived (PDF) from the original on 2015-11-06. Retrieved 2015-11-12.
"Bombieri and Tao Receive King Faisal Prize" (PDF). Notices of the AMS. 57 (5): 642–643. May 2010. ISSN 1088-9477. OCLC 34550461. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-03-18. Working with Ben Green, he proved there are arbitrarily long arithmetic progressions of prime numbers—a result now known as the Green–Tao theorem.
Metsänkylä, Tauno (5 September 2003). "Catalan's conjecture: another old diophantine problem solved" (PDF). Bulletin of the American Mathematical Society. 41 (1): 43–57. doi:10.1090/s0273-0979-03-00993-5. ISSN 0273-0979. Archived (PDF) from the original on 4 March 2016. Retrieved 13 November 2015. The conjecture, which dates back to 1844, was recently proven by the Swiss mathematician Preda Mihăilescu.
Lafforgue, Laurent (1998). "Chtoucas de Drinfeld et applications" [Drinfelʹd shtukas and applications]. Documenta Mathematica (in French). II: 563–570. ISSN 1431-0635. MR 1648105. Archived from the original on 2018-04-27. Retrieved 2016-03-18.
Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived (PDF) from the original on 2011-05-10. Retrieved 2016-03-06.
Taylor R, Wiles A (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255. Archived from the original on 16 September 2000.
"Prize for Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman" (PDF) (Press release). Clay Mathematics Institute. March 18, 2010. Archived from the original on March 22, 2010. Retrieved November 13, 2015. The Clay Mathematics Institute hereby awards the Millennium Prize for resolution of the Poincaré conjecture to Grigoriy Perelman.
Wolchover, Natalie (March 28, 2017). "A Long-Sought Proof, Found and Almost Lost". Quanta Magazine. Archived from the original on April 24, 2017. Retrieved May 2, 2017.
Voevodsky, Vladimir (1 July 2011). "On motivic cohomology with Z/l-coefficients" (PDF). annals.math.princeton.edu. Princeton, NJ: Princeton University. pp. 401–438. Archived (PDF) from the original on 2016-03-27. Retrieved 2016-03-18.
Kahn, Bruno. "Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry" (PDF). webusers.imj-prg.fr. Archived (PDF) from the original on 2016-03-27. Retrieved 2016-03-18.
Dencker, Nils (2006). "The resolution of the Nirenberg–Treves conjecture" (PDF). Annals of Mathematics. 163 (2): 405–444. doi:10.4007/annals.2006.163.405. S2CID 16630732. Archived (PDF) from the original on 2018-07-20. Retrieved 2019-04-07.
"Research Awards". Clay Mathematics Institute. Archived from the original on 2019-04-07. Retrieved 2019-04-07.
"Fields Medal – Ngô Bảo Châu". International Congress of Mathematicians 2010. ICM. 19 August 2010. Archived from the original on 24 September 2015. Retrieved 2015-11-12. Ngô Bảo Châu is being awarded the 2010 Fields Medal for his proof of the Fundamental Lemma in the theory of automorphic forms through the introduction of new algebro-geometric methods.
Voevodsky, Vladimir (2003). "Reduced power operations in motivic cohomology". Publications Mathématiques de l'IHÉS. 98: 1–57. arXiv:math/0107109. CiteSeerX 10.1.1.170.4427. doi:10.1007/s10240-003-0009-z. S2CID 8172797. Archived from the original on 2017-07-28. Retrieved 2016-03-18.
Haas, Bertrand (2002). "A Simple Counterexample to Kouchnirenko's Conjecture" (PDF). Beiträge zur Algebra und Geometrie. 43 (1): 1–8. Archived (PDF) from the original on 2016-10-07. Retrieved 2016-03-18.
Luca, Florian (2000). "On a conjecture of Erdős and Stewart" (PDF). Mathematics of Computation. 70 (234): 893–897. Bibcode:2001MaCom..70..893L. doi:10.1090/s0025-5718-00-01178-9. Archived (PDF) from the original on 2016-04-02. Retrieved 2016-03-18.

wolfram.com (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

Weisstein, Eric W. "Khinchin's Constant". mathworld.wolfram.com. Retrieved 2024-09-22.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Atiyah, Michael (2001). "Configurations of points". Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 359 (1784): 1375–1387. Bibcode:2001RSPTA.359.1375A. doi:10.1098/rsta.2001.0840. ISSN 1364-503X. MR 1853626. S2CID 55833332.
Ghomi, Mohammad (2018-01-01). "Dürer's Unfolding Problem for Convex Polyhedra". Notices of the American Mathematical Society. 65 (1): 25–27. doi:10.1090/noti1609. ISSN 0002-9920.
Bailey, R. F.; Stevens, B. (2010). "Hamiltonian decompositions of complete $k$-uniform hypergraphs". Discrete Mathematics. 310 (22): 3088–3095. doi:10.1016/j.disc.2009.03.047. ISSN 0012-365X.
Kauers, Manuel; Koutschan, Christoph; Zeilberger, Doron (2009-07-14). "Proof of Ira Gessel's lattice path conjecture". Proceedings of the National Academy of Sciences. 106 (28): 11502–11505. arXiv:0806.4300. Bibcode:2009PNAS..10611502K. doi:10.1073/pnas.0901678106. ISSN 0027-8424. PMC 2710637.
Chung, Fan; Greene, Curtis; Hutchinson, Joan (April 2015). "Herbert S. Wilf (1931–2012)". Notices of the AMS. 62 (4): 358. doi:10.1090/noti1247. ISSN 1088-9477. OCLC 34550461. The conjecture was finally given an exceptionally elegant proof by A. Marcus and G. Tardos in 2004.
Smith, David; Myers, Joseph Samuel; Kaplan, Craig S.; Goodman-Strauss, Chaim (2024). "An aperiodic monotile". Combinatorial Theory. 4 (1). doi:10.5070/C64163843. ISSN 2766-1334.
Teixidor i Bigas, Montserrat; Russo, Barbara (1999). "On a conjecture of Lange". Journal of Algebraic Geometry. 8 (3): 483–496. arXiv:alg-geom/9710019. Bibcode:1997alg.geom.10019R. ISSN 1056-3911. MR 1689352.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture I: Special separations". Journal of Combinatorial Theory, Series B. 144: 197–224. arXiv:1511.05020. doi:10.1016/j.jctb.2019.11.008. ISSN 0095-8956. S2CID 29791394.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-11). "The Kelmans-Seymour conjecture II: 2-Vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 225–264. arXiv:1602.07557. doi:10.1016/j.jctb.2019.11.007. ISSN 0095-8956. S2CID 220369443.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-09). "The Kelmans-Seymour conjecture III: 3-vertices in K4−". Journal of Combinatorial Theory, Series B. 144: 265–308. arXiv:1609.05747. doi:10.1016/j.jctb.2019.11.006. ISSN 0095-8956. S2CID 119625722.
He, Dawei; Wang, Yan; Yu, Xingxing (2019-12-19). "The Kelmans-Seymour conjecture IV: A proof". Journal of Combinatorial Theory, Series B. 144: 309–358. arXiv:1612.07189. doi:10.1016/j.jctb.2019.12.002. ISSN 0095-8956. S2CID 119175309.
Friedman, Joel (January 2015). "Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks" (PDF). Memoirs of the American Mathematical Society. 233 (1100): 0. doi:10.1090/memo/1100. ISSN 0065-9266. S2CID 117941803.
Zhang, Yitang (2014-05-01). "Bounded gaps between primes". Annals of Mathematics. 179 (3): 1121–1174. doi:10.4007/annals.2014.179.3.7. ISSN 0003-486X.
Maynard, James (2015-01-01). "Small gaps between primes". Annals of Mathematics: 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. ISSN 0003-486X. S2CID 55175056.
"2011 Cole Prize in Number Theory" (PDF). Notices of the AMS. 58 (4): 610–611. ISSN 1088-9477. OCLC 34550461. Archived (PDF) from the original on 2015-11-06. Retrieved 2015-11-12.
"Bombieri and Tao Receive King Faisal Prize" (PDF). Notices of the AMS. 57 (5): 642–643. May 2010. ISSN 1088-9477. OCLC 34550461. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-03-18. Working with Ben Green, he proved there are arbitrarily long arithmetic progressions of prime numbers—a result now known as the Green–Tao theorem.
Metsänkylä, Tauno (5 September 2003). "Catalan's conjecture: another old diophantine problem solved" (PDF). Bulletin of the American Mathematical Society. 41 (1): 43–57. doi:10.1090/s0273-0979-03-00993-5. ISSN 0273-0979. Archived (PDF) from the original on 4 March 2016. Retrieved 13 November 2015. The conjecture, which dates back to 1844, was recently proven by the Swiss mathematician Preda Mihăilescu.
Lafforgue, Laurent (1998). "Chtoucas de Drinfeld et applications" [Drinfelʹd shtukas and applications]. Documenta Mathematica (in French). II: 563–570. ISSN 1431-0635. MR 1648105. Archived from the original on 2018-04-27. Retrieved 2016-03-18.
Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived (PDF) from the original on 2011-05-10. Retrieved 2016-03-06.
Taylor R, Wiles A (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255. Archived from the original on 16 September 2000.
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard (2001). "On the modularity of elliptic curves over Q: wild 3-adic exercises". Journal of the American Mathematical Society. 14 (4): 843–939. doi:10.1090/S0894-0347-01-00370-8. ISSN 0894-0347. MR 1839918.

youtube.com (Global: 9^th place; English: 13^th place)

"Higher-Dimensional Tic-Tac-Toe". PBS Infinite Series. YouTube. 2017-09-21. Archived from the original on 2017-10-11. Retrieved 2018-07-29.

zbmath.org (Global: 1,923^rd place; English: 1,068^th place)

Chudnovsky, Maria (2014). "The Erdös–Hajnal conjecture—a survey" (PDF). Journal of Graph Theory. 75 (2): 178–190. arXiv:1606.08827. doi:10.1002/jgt.21730. MR 3150572. S2CID 985458. Zbl 1280.05086. Archived (PDF) from the original on 2016-03-04. Retrieved 2016-09-22..
Kühn, Daniela; Mycroft, Richard; Osthus, Deryk (2011). "A proof of Sumner's universal tournament conjecture for large tournaments". Proceedings of the London Mathematical Society. Third Series. 102 (4): 731–766. arXiv:1010.4430. doi:10.1112/plms/pdq035. MR 2793448. S2CID 119169562. Zbl 1218.05034..
Ullmo, E (1998). "Positivité et Discrétion des Points Algébriques des Courbes". Annals of Mathematics. 147 (1): 167–179. arXiv:alg-geom/9606017. doi:10.2307/120987. JSTOR 120987. S2CID 119717506. Zbl 0934.14013.
Shitov, Yaroslav (1 September 2019). "Counterexamples to Hedetniemi's conjecture". Annals of Mathematics. 190 (2): 663–667. arXiv:1905.02167. doi:10.4007/annals.2019.190.2.6. JSTOR 10.4007/annals.2019.190.2.6. MR 3997132. S2CID 146120733. Zbl 1451.05087. Retrieved 19 July 2021.

List of unsolved problems in mathematics (English Wikipedia)

amc-journal.eu (Global: low place; English: low place)

amc12.org (Global: low place; English: low place)

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ams.org (Global: 451st place; English: 277th place)

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arxiv.org (Global: 69th place; English: 59th place)

asone.ai (Global: low place; English: low place)

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bu.edu (Global: 2,120th place; English: 1,328th place)

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doi.org (Global: 2nd place; English: 2nd place)

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gilkalai.wordpress.com (Global: low place; English: low place)

handle.net (Global: 102nd place; English: 76th place)

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harvard.edu (Global: 18th place; English: 17th place)

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jpost.com (Global: 544th place; English: 387th place)

jstor.org (Global: 26th place; English: 20th place)

lbl.gov (Global: 2,509th place; English: 2,329th place)

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log-it-ex.com (Global: low place; English: low place)

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muni.cz (Global: 2,963rd place; English: 6,401st place)

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nih.gov (Global: 4th place; English: 4th place)

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nps.edu (Global: low place; English: 7,562nd place)

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nstu.ru (Global: low place; English: low place)

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numdam.org (Global: 8,650th place; English: 7,668th place)

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oeis.org (Global: 742nd place; English: 538th place)

openproblemgarden.org (Global: low place; English: low place)

ou.edu (Global: 5,878th place; English: 4,074th place)

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popularmechanics.com (Global: 1,808th place; English: 1,159th place)

princeton.edu (Global: 741st place; English: 577th place)

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projecteuclid.org (Global: 3,707th place; English: 2,409th place)

psu.edu (Global: 207th place; English: 136th place)

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quantamagazine.org (Global: 6,413th place; English: 4,268th place)

researchgate.net (Global: 120th place; English: 125th place)

richardpmann.com (Global: low place; English: low place)

sciencedirect.com (Global: 149th place; English: 178th place)

ams.org (Global: 451^st place; English: 277^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

au.dk (Global: 8,222^nd place; English: 8,022^nd place)

books.google.com (Global: 3^rd place; English: 3^rd place)

bu.edu (Global: 2,120^th place; English: 1,328^th place)

claymath.org (Global: 8,402^nd place; English: 8,241^st place)

cnn.com (Global: 28^th place; English: 26^th place)

cnrs.fr (Global: 2,402^nd place; English: 5,549^th place)

columbia.edu (Global: 488^th place; English: 374^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

encyclopediaofmath.org (Global: 3,863^rd place; English: 2,637^th place)

escholarship.org (Global: 1,523^rd place; English: 976^th place)

fu-berlin.de (Global: 3,329^th place; English: 4,598^th place)

handle.net (Global: 102^nd place; English: 76^th place)

harvard.edu (Global: 18^th place; English: 17^th place)

illinois.edu (Global: 1,349^th place; English: 866^th place)

jpost.com (Global: 544^th place; English: 387^th place)

jstor.org (Global: 26^th place; English: 20^th place)

lbl.gov (Global: 2,509^th place; English: 2,329^th place)

mathnet.ru (Global: 8,783^rd place; English: low place)

muni.cz (Global: 2,963^rd place; English: 6,401^st place)

nih.gov (Global: 4^th place; English: 4^th place)

nps.edu (Global: low place; English: 7,562^nd place)

nsc.ru (Global: 6,956^th place; English: low place)

numdam.org (Global: 8,650^th place; English: 7,668^th place)

oeis.org (Global: 742^nd place; English: 538^th place)

ou.edu (Global: 5,878^th place; English: 4,074^th place)

popularmechanics.com (Global: 1,808^th place; English: 1,159^th place)

princeton.edu (Global: 741^st place; English: 577^th place)

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

psu.edu (Global: 207^th place; English: 136^th place)

quantamagazine.org (Global: 6,413^th place; English: 4,268^th place)

researchgate.net (Global: 120^th place; English: 125^th place)

sciencedirect.com (Global: 149^th place; English: 178^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

sfu.ca (Global: 3,413^th place; English: 2,445^th place)

siam.org (Global: low place; English: 6,473^rd place)

smith.edu (Global: 2,717^th place; English: 2,175^th place)

springer.com (Global: 274^th place; English: 309^th place)

stanford.edu (Global: 179^th place; English: 183^rd place)

theguardian.com (Global: 12^th place; English: 11^th place)

ubc.ca (Global: 1,997^th place; English: 1,295^th place)

uchicago.edu (Global: 230^th place; English: 214^th place)

uic.edu (Global: 5,752^nd place; English: 3,776^th place)

uni-bielefeld.de (Global: 9,437^th place; English: low place)

uni-hamburg.de (Global: 3,809^th place; English: 5,200^th place)

uni-koeln.de (Global: 2,455^th place; English: 3,121^st place)

usask.ca (Global: 7,865^th place; English: 5,092^nd place)

utk.edu (Global: 4,653^rd place; English: 3,286^th place)

utsa.edu (Global: low place; English: 9,359^th place)

utwente.nl (Global: low place; English: 8,900^th place)

uva.nl (Global: 3,518^th place; English: 2,652^nd place)

warwick.ac.uk (Global: 4,378^th place; English: 2,689^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

wolfram.com (Global: 513^th place; English: 537^th place)

worldcat.org (Global: 5^th place; English: 5^th place)

youtube.com (Global: 9^th place; English: 13^th place)

zbmath.org (Global: 1,923^rd place; English: 1,068^th place)