Alexander Varchenko

Overview

Best Publications

• Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals

  S.M. Gusein-Zade;A.N. Varchenko;Alexander N. Varchenko;V.I. Arnold

  2695
  Citations

• Singularities of Differentiable Maps

  V. I. Arnold;S. M. Gusein-Zade;A. N. Varchenko

  2006
  Citations

• Arrangements of hyperplanes and Lie algebra homology

  Vadim V. Schechtman;Alexander N. Varchenko

  461
  Citations

• Newton polyhedra and estimation of oscillating integrals

  A. N. Varchenko

  372
  Citations

• Zeta-function of monodromy and Newton's diagram

  A. N. Varchenko

  316
  Citations

• Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups

  A. N. Varchenko

  204
  Citations

• Geometry and Classificatin of Solutions of the Classical Dynamical Yang–Baxter Equation

  Pavel Etingof;Alexander Varchenko

  193
  Citations

• Quasiclassical asymptotics of solutions to the KZ equations

  Nicolai Reshetikhin;Alexander Varchenko

  178
  Citations

• Singularities of Differentiable Maps, Volume 1

  V.I. Arnold;S.M. Gusein-Zade;A.N. Varchenko

  177
  Citations

• Estimate of the number of zeros of an abelian integral depending on a parameter and limit cycles

  A. N. Varchenko

  162
  Citations

• Solutions of the Quantum Dynamical Yang–Baxter Equation and Dynamical Quantum Groups

  Pavel Etingof;Alexander Varchenko

  156
  Citations

• The Elliptic Gamma Function and SL(3, Z)⋉Z3

  Giovanni Felder;Alexander Varchenko

  156
  Citations

• Geometry of q -hypergeometric functions as a bridge between Yangians and quantum affine algebras

  V. Tarasov;V. Tarasov;A. Varchenko

  145
  Citations

• Schubert calculus and representations of the general linear group

  Evgeny Mukhin;Vitaly Tarasov;Alexander Nikoalevich Varchenko

  142
  Citations

• Bethe eigenvectors of higher transfer matrices

  E Mukhin;V Tarasov;V Tarasov;A Varchenko

  141
  Citations

• Exchange Dynamical Quantum Groups

  P. Etingof;A. Varchenko

  141
  Citations

• Critical points of the product of powers of linear functions and families of bases of singular vectors

  Alexander Varchenko

  139
  Citations

• Algebraic Bethe ansatz for the elliptic quantum group Eτ,η(sl2)

  Giovanni Felder;Alexander Varchenko

  139
  Citations

• Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors

  Vadim Schechtman;Hiroaki Terao;Alexander Varchenko

  136
  Citations

• The elliptic gamma function and SL(3,Z) x Z^3

  Giovanni Felder;Alexander Varchenko

  134
  Citations

• Why the boundary of a round drop becomes a curve of order four

  Alexander Nikoalevich Varchenko;Pavel Etingof

  128
  Citations

• The classification of critical points, caustics and wave fronts

  Vladimir Igorevich Arnolʹd;S. M. Guseĭn-Zade;A. N. Varchenko

  53
  Citations