Alexander Varchenko

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Giovanni FelderETH ZurichVerified email at math.ethz.ch
Richard Rimanyiprofessor, UNC Chapel HillVerified email at email.unc.edu
Andrey SmirnovUniversity of North CarolinaVerified email at email.unc.edu
Boris FeiginNational Research University Higher School of EconomicsVerified email at hse.ru
Michael FalkNorthern Arizona UniversityVerified email at nau.edu
Alexander B. GIVENTALUC BerkeleyVerified email at berkeley.edu
Daniel C. CohenProfessor of Mathematics, Lousiana State UniversityVerified email at math.lsu.edu
Alexander GoncharovYale UniversityVerified email at yale.edu
Zijun ZhouKavli Institute for the Physics and Mathematics of the UniverseVerified email at ipmu.jp
Nicolai ReshetikhinProfessor of Mathematics, University of California BerkeleyVerified email at math.berkeley.edu
Hiroaki TeraoProfessor of Mathematics, Hokkaido UniversityVerified email at math.sci.hokudai.ac.jp
Alexey SlinkinUniversity of North Carolina Chapel HillVerified email at live.unc.edu
Graham DenhamUniversity of Western OntarioVerified email at uwo.ca
Kang LuUniversity of VirginiaVerified email at virginia.edu
Karl PetersenUniversity of North Carolina at Chapel HillVerified email at math.unc.edu
Giordano CottiUniversidade de LisboaVerified email at fc.ul.pt
olivier schiffmannDirecteur de Recherches, CNRS Université de Paris-SaclayVerified email at universite-paris-saclay.fr
Wadim ZudilinInstitute for Mathematics, Astrophysics and Particle Physics, Radboud Universiteit NijmegenVerified email at math.ru.nl
Alexander Kirillov, JrAssociate Professor, Stony Brook UniversityVerified email at math.sunysb.edu
Daniel Craig ThompsonMITVerified email at math.mit.edu

Alexander Varchenko

Department of Mathematics, UNC

Verified email at email.unc.edu - Homepage

mathematics


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Singularities of differentiable maps. Vol. I. The classification of critical points, caustics and wave fronts. VI Arnolʹd, SM Guseĭn-Zade, AN Varchenko Monographs in Mathematics, 82. Birkhäuser Boston, Inc., Boston, MA,, 1985	4464*	1985
Arrangements of hyperplanes and Lie algebra homology VV Schechtman, AN Varchenko Inventiones mathematicae 106 (1), 139-194, 1991	452	1991
Newton polyhedra and estimation of oscillating integrals AN Varchenko Functional analysis and its applications 10 (3), 175-196, 1976	389	1976
Zeta-function of monodromy and Newton's diagram AN Varchenko Inventiones mathematicae 37, 253-262, 1976	304	1976
Asymptotic Hodge structure in the vanishing cohomology AN Varčenko Mathematics of the USSR-Izvestiya 18 (3), 469, 1982	236	1982
Multidimensional hypergeometric functions the representation theory of Lie Algebras and quantum groups A Varchenko World Scientific, 1995	202	1995
Geometry and Classificatin of Solutions of the Classical Dynamical Yang–Baxter Equation P Etingof, A Varchenko Communications in mathematical physics 192, 77-120, 1998	179	1998
Quasiclassical asymptotics of solutions to the KZ equations N Reshetikhin, A Varchenko arXiv preprint hep-th/9402126, 1994	179	1994
Estimate of the number of zeros of an Abelian integral depending on a parameter and limit cycles AN Varchenko Functional Analysis and its Applications 18 (2), 98-108, 1984	164	1984
Solutions of the quantum dynamical Yang–Baxter equation and dynamical quantum groups P Etingof, A Varchenko Communications in Mathematical Physics 196, 591-640, 1998	156	1998
The elliptic gamma function and SL (3, Z)⋉ Z3 G Felder, A Varchenko Advances in Mathematics 156 (1), 44-76, 2000	154	2000
Schubert calculus and representations of the general linear group E Mukhin, V Tarasov, A Varchenko Journal of the American Mathematical society 22 (4), 909-940, 2009	141	2009
Why the boundary of a round drop becomes a curve of order four AN Varchenko, PI Etingof American Mathematical Soc., 1992	139*	1992
On representations of the elliptic quantum groupE_τ,η(sl₂) G Felder, A Varchenko Communications in Mathematical Physics 181 (3), 741-761, 1996	138	1996
Bethe eigenvectors of higher transfer matrices E Mukhin, V Tarasov, A Varchenko Journal of Statistical Mechanics: Theory and Experiment 2006 (08), P08002, 2006	136	2006
Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors V Schechtman, H Terao, A Varchenko arXiv preprint hep-th/9411083, 1994	136	1994
Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface AN Varchenko Doklady Akademii Nauk 270 (6), 1294-1297, 1983	130	1983
Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups V Tarasov, A Varchenko Société mathématique de France, 1997	129	1997
Algebraic Bethe ansatz for the elliptic quantum group Eτ, η (sl2) G Felder, A Varchenko Nuclear Physics B 480 (1-2), 485-503, 1996	128	1996
Integral representation of solutions of the elliptic Knizhnik--Zamolodchikov--Bernard equations G Felder, A Varchenko arXiv preprint hep-th/9502165, 1995	123	1995

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