Alexander Varchenko (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Alexander Varchenko" in English language version.

refsWebsite

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15doi.org

2^nd place

12semanticscholar.org

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10arxiv.org

69^th place

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6harvard.edu

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1archive.org

6^th place

1turpion.org

low place

1jstor.org

26^th place

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1web.archive.org

1^st place

1mathunion.org

9,965^th place

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1ams.org

451^st place

277^th place

ams.org

"2023 Class of Fellows". American Mathematical Society. Retrieved 2022-11-09.

archive.org

Edward Frenkel (1 October 2013). Love and Math: The Heart of Hidden Reality. Basic Books. pp. 38. ISBN 978-0-465-06995-8.

arxiv.org

Tarasov, V.; Varchenko, A. (1997). "Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras". Invent. Math. 128 (3): 501–588. arXiv:q-alg/9604011. Bibcode:1997InMat.128..501T. doi:10.1007/s002220050151. S2CID 119162926.
Felder, G.; Tarasov, V.; Varchenko, A. (1999). "Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations". Int. J. Math. 10 (8): 943–975. arXiv:q-alg/9705017. doi:10.1142/s0129167x99000410. S2CID 14985025.
Rimányi, R.; Tarasov, V.; Varchenko, A. (2012). "Partial flag varieties, stable envelopes and weight functions". arXiv:1212.6240 [math.AG].
Felder, G.; Rimányi, R.; Varchenko, A. (2018). "Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology". Symmetry, Integrability and Geometry: Methods and Applications. 14: 132. arXiv:1702.08060. Bibcode:2018SIGMA..14..132F. doi:10.3842/SIGMA.2018.132. S2CID 119149792.
Felder, G.; Varchenko, A. (1996). "On representations of the elliptic quantum group $E_{\tau ,\eta }(sl_{2})$ ". Comm. Math. Phys. 181 (3): 741–761. arXiv:q-alg/9601003. Bibcode:1996CMaPh.181..741F. doi:10.1007/bf02101296. S2CID 119128058.
Etingof, P.; Varchenko, A. (1998). "Solutions of the quantum dynamical Yang–Baxter equation and dynamical quantum groups". Comm. Math. Phys. 196 (3): 591–640. arXiv:q-alg/9708015. Bibcode:1998CMaPh.196..591E. doi:10.1007/s002200050437. S2CID 8031350.
Rimányi, R.; Tarasov, V.; Varchenko, A. (2012). "Partial flag varieties, stable envelopes and weight functions". arXiv:1212.6240 [math.AG].
Mukhin, E.; Tarasov, V.; Varchenko, A. (2009). "The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz". Annals of Mathematics. Series 2. 170 (2): 863–881. arXiv:math/0512299. doi:10.4007/annals.2009.170.863. S2CID 18381451.
Sottile, Frank (2010). "Frontiers of reality in Schubert calculus". Bulletin of the American Mathematical Society. (N.S.). 47 (1): 31–71. arXiv:0907.1847. doi:10.1090/s0273-0979-09-01276-2. S2CID 5914695.
Mukhin, E.; Tarasov, V.; Varchenko, A. (2009). "Schubert calculus and representations of the general linear group". Journal of the American Mathematical Society. 22 (4): 909–940. arXiv:0711.4079. Bibcode:2009JAMS...22..909M. doi:10.1090/s0894-0347-09-00640-7.

doi.org

Zariski, O. (1937). "On the Poincaré group of projective hypersurface". Ann. of Math. 38 (1): 131–141. doi:10.2307/1968515. JSTOR 1968515.
Varchenko, A. (1976). "Newton Polyhedra and Asymptotics of Oscillatory Integrals". Funct. Anal. Appl. 10 (3): 175–196. doi:10.1007/bf01075524. S2CID 17932967.
Varchenko, A. (1984). "Estimate of the Number of Zeros of a Real Abelian Integral Depending on a Parameter and Limit Cycles". Func. Anal. Appl. 18 (2): 98–108. doi:10.1007/bf01077820. S2CID 121780077.
Schechtman, V.; Varchenko, A. (1991). "Arrangements of Hyperplanes and Lie Algebra Homology". Invent. Math. 106: 139–194. Bibcode:1991InMat.106..139S. doi:10.1007/bf01243909. S2CID 121471033.
Kohno, T. (1987). "Monodromy representations of braid groups and Yang-Baxter equations". Annales de l'Institut Fourier. 1 (4): 139–160. doi:10.5802/aif.1114.
Tarasov, V.; Varchenko, A. (1997). "Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras". Invent. Math. 128 (3): 501–588. arXiv:q-alg/9604011. Bibcode:1997InMat.128..501T. doi:10.1007/s002220050151. S2CID 119162926.
Felder, G.; Tarasov, V.; Varchenko, A. (1999). "Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations". Int. J. Math. 10 (8): 943–975. arXiv:q-alg/9705017. doi:10.1142/s0129167x99000410. S2CID 14985025.
Felder, G.; Rimányi, R.; Varchenko, A. (2018). "Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology". Symmetry, Integrability and Geometry: Methods and Applications. 14: 132. arXiv:1702.08060. Bibcode:2018SIGMA..14..132F. doi:10.3842/SIGMA.2018.132. S2CID 119149792.
Felder, G.; Varchenko, A. (1996). "On representations of the elliptic quantum group $E_{\tau ,\eta }(sl_{2})$ ". Comm. Math. Phys. 181 (3): 741–761. arXiv:q-alg/9601003. Bibcode:1996CMaPh.181..741F. doi:10.1007/bf02101296. S2CID 119128058.
Etingof, P.; Varchenko, A. (1998). "Solutions of the quantum dynamical Yang–Baxter equation and dynamical quantum groups". Comm. Math. Phys. 196 (3): 591–640. arXiv:q-alg/9708015. Bibcode:1998CMaPh.196..591E. doi:10.1007/s002200050437. S2CID 8031350.
Markov, Y.; Felder, G.; Tarasov, V.; Varchenko, A. (2000). "Differential Equations Compatible with KZ Equations". J. Math. Phys., Analysis and Geometry. 3 (2): 139–177. doi:10.1023/A:1009862302234. S2CID 119590296.
Tarasov, V.; Varchenko, A. (2002). "Duality for Knizhnik-Zamolodchikov and Dynamical Equations". Acta Appl. Math. 73: 141–154. doi:10.1023/A:1019787006990. S2CID 14901561.
Mukhin, E.; Tarasov, V.; Varchenko, A. (2009). "The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz". Annals of Mathematics. Series 2. 170 (2): 863–881. arXiv:math/0512299. doi:10.4007/annals.2009.170.863. S2CID 18381451.
Sottile, Frank (2010). "Frontiers of reality in Schubert calculus". Bulletin of the American Mathematical Society. (N.S.). 47 (1): 31–71. arXiv:0907.1847. doi:10.1090/s0273-0979-09-01276-2. S2CID 5914695.
Mukhin, E.; Tarasov, V.; Varchenko, A. (2009). "Schubert calculus and representations of the general linear group". Journal of the American Mathematical Society. 22 (4): 909–940. arXiv:0711.4079. Bibcode:2009JAMS...22..909M. doi:10.1090/s0894-0347-09-00640-7.

harvard.edu

ui.adsabs.harvard.edu

Schechtman, V.; Varchenko, A. (1991). "Arrangements of Hyperplanes and Lie Algebra Homology". Invent. Math. 106: 139–194. Bibcode:1991InMat.106..139S. doi:10.1007/bf01243909. S2CID 121471033.
Tarasov, V.; Varchenko, A. (1997). "Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras". Invent. Math. 128 (3): 501–588. arXiv:q-alg/9604011. Bibcode:1997InMat.128..501T. doi:10.1007/s002220050151. S2CID 119162926.
Felder, G.; Rimányi, R.; Varchenko, A. (2018). "Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology". Symmetry, Integrability and Geometry: Methods and Applications. 14: 132. arXiv:1702.08060. Bibcode:2018SIGMA..14..132F. doi:10.3842/SIGMA.2018.132. S2CID 119149792.
Felder, G.; Varchenko, A. (1996). "On representations of the elliptic quantum group $E_{\tau ,\eta }(sl_{2})$ ". Comm. Math. Phys. 181 (3): 741–761. arXiv:q-alg/9601003. Bibcode:1996CMaPh.181..741F. doi:10.1007/bf02101296. S2CID 119128058.
Etingof, P.; Varchenko, A. (1998). "Solutions of the quantum dynamical Yang–Baxter equation and dynamical quantum groups". Comm. Math. Phys. 196 (3): 591–640. arXiv:q-alg/9708015. Bibcode:1998CMaPh.196..591E. doi:10.1007/s002200050437. S2CID 8031350.
Mukhin, E.; Tarasov, V.; Varchenko, A. (2009). "Schubert calculus and representations of the general linear group". Journal of the American Mathematical Society. 22 (4): 909–940. arXiv:0711.4079. Bibcode:2009JAMS...22..909M. doi:10.1090/s0894-0347-09-00640-7.

jstor.org

Zariski, O. (1937). "On the Poincaré group of projective hypersurface". Ann. of Math. 38 (1): 131–141. doi:10.2307/1968515. JSTOR 1968515.

mathunion.org

"ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians. Archived from the original on 2017-11-08. Retrieved 2014-08-28.

semanticscholar.org

api.semanticscholar.org

Varchenko, A. (1976). "Newton Polyhedra and Asymptotics of Oscillatory Integrals". Funct. Anal. Appl. 10 (3): 175–196. doi:10.1007/bf01075524. S2CID 17932967.
Varchenko, A. (1984). "Estimate of the Number of Zeros of a Real Abelian Integral Depending on a Parameter and Limit Cycles". Func. Anal. Appl. 18 (2): 98–108. doi:10.1007/bf01077820. S2CID 121780077.
Schechtman, V.; Varchenko, A. (1991). "Arrangements of Hyperplanes and Lie Algebra Homology". Invent. Math. 106: 139–194. Bibcode:1991InMat.106..139S. doi:10.1007/bf01243909. S2CID 121471033.
Tarasov, V.; Varchenko, A. (1997). "Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras". Invent. Math. 128 (3): 501–588. arXiv:q-alg/9604011. Bibcode:1997InMat.128..501T. doi:10.1007/s002220050151. S2CID 119162926.
Felder, G.; Tarasov, V.; Varchenko, A. (1999). "Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations". Int. J. Math. 10 (8): 943–975. arXiv:q-alg/9705017. doi:10.1142/s0129167x99000410. S2CID 14985025.
Felder, G.; Rimányi, R.; Varchenko, A. (2018). "Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology". Symmetry, Integrability and Geometry: Methods and Applications. 14: 132. arXiv:1702.08060. Bibcode:2018SIGMA..14..132F. doi:10.3842/SIGMA.2018.132. S2CID 119149792.
Felder, G.; Varchenko, A. (1996). "On representations of the elliptic quantum group $E_{\tau ,\eta }(sl_{2})$ ". Comm. Math. Phys. 181 (3): 741–761. arXiv:q-alg/9601003. Bibcode:1996CMaPh.181..741F. doi:10.1007/bf02101296. S2CID 119128058.
Etingof, P.; Varchenko, A. (1998). "Solutions of the quantum dynamical Yang–Baxter equation and dynamical quantum groups". Comm. Math. Phys. 196 (3): 591–640. arXiv:q-alg/9708015. Bibcode:1998CMaPh.196..591E. doi:10.1007/s002200050437. S2CID 8031350.
Markov, Y.; Felder, G.; Tarasov, V.; Varchenko, A. (2000). "Differential Equations Compatible with KZ Equations". J. Math. Phys., Analysis and Geometry. 3 (2): 139–177. doi:10.1023/A:1009862302234. S2CID 119590296.
Tarasov, V.; Varchenko, A. (2002). "Duality for Knizhnik-Zamolodchikov and Dynamical Equations". Acta Appl. Math. 73: 141–154. doi:10.1023/A:1019787006990. S2CID 14901561.
Mukhin, E.; Tarasov, V.; Varchenko, A. (2009). "The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz". Annals of Mathematics. Series 2. 170 (2): 863–881. arXiv:math/0512299. doi:10.4007/annals.2009.170.863. S2CID 18381451.
Sottile, Frank (2010). "Frontiers of reality in Schubert calculus". Bulletin of the American Mathematical Society. (N.S.). 47 (1): 31–71. arXiv:0907.1847. doi:10.1090/s0273-0979-09-01276-2. S2CID 5914695.

turpion.org

A. Varchenko (1972). "Theorems of Topological Equisingularity of Families of Algebraic Manifold and Polynomial Mappings". Izv. Acad. Sci. USSR. 36: 957–1019.

web.archive.org

"ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians. Archived from the original on 2017-11-08. Retrieved 2014-08-28.