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Alexander Varchenko
Alexander Varchenko
Department of Mathematics, UNC
Verified email at email.unc.edu - Homepage
Title
Cited by
Cited by
Year
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
4594*1985
Arrangements of hyperplanes and Lie algebra homology
VV Schechtman, AN Varchenko
Inventiones mathematicae 106 (1), 139-194, 1991
4621991
Newton polyhedra and estimation of oscillating integrals
AN Varchenko
Functional analysis and its applications 10 (3), 175-196, 1976
4071976
Zeta-function of monodromy and Newton's diagram
AN Varchenko
Inventiones mathematicae 37, 253-262, 1976
3111976
Asymptotic Hodge structure in the vanishing cohomology
AN Varchenko
Math. USSR Izv 18 (3), 496-512, 1982
2461982
Multidimensional hypergeometric functions the representation theory of Lie Algebras and quantum groups
A Varchenko
World Scientific, 1995
2201995
Geometry and Classificatin of Solutions of the Classical Dynamical Yang–Baxter Equation
P Etingof, A Varchenko
Communications in mathematical physics 192, 77-120, 1998
1841998
Quasiclassical asymptotics of solutions to the KZ equations
N Reshetikhin, A Varchenko
arXiv preprint hep-th/9402126, 1994
1801994
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
1671984
Solutions of the quantum dynamical Yang–Baxter equation and dynamical quantum groups
P Etingof, A Varchenko
Communications in Mathematical Physics 196, 591-640, 1998
1611998
The elliptic gamma function and SL (3, Z)⋉ Z3
G Felder, A Varchenko
Advances in Mathematics 156 (1), 44-76, 2000
1582000
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
1462009
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
1451994
Why the boundary of a round drop becomes a curve of order four
AN Varchenko, PI Etingof
American Mathematical Soc., 1992
144*1992
Bethe eigenvectors of higher transfer matrices
E Mukhin, V Tarasov, A Varchenko
Journal of Statistical Mechanics: Theory and Experiment 2006 (08), P08002, 2006
1392006
On representations of the elliptic quantum groupEτ,η(sl2)
G Felder, A Varchenko
Communications in Mathematical Physics 181 (3), 741-761, 1996
1391996
Algebraic Bethe ansatz for the elliptic quantum group Eτ, η (sl2)
G Felder, A Varchenko
Nuclear Physics B 480 (1-2), 485-503, 1996
1361996
Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups
V Tarasov, A Varchenko
Société mathématique de France, 1997
1331997
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
1291983
Differential equations compatible with KZ equations
G Felder, Y Markov, V Tarasov, A Varchenko
Mathematical Physics, Analysis and Geometry 3, 139-177, 2000
1222000
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