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Alexander Varchenko

Identifiers

  • name variant Alexander Varchenko 0.60 · backfill

Papers (60)

  1. Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space math.AG · 2019 · author #2
  2. Critical points of master functions and mKdV hierarchy of type $C^{(1)}_{n}$ math.AG · 2018 · author #1
  3. Dynamical elliptic Bethe algebra, KZB eigenfunctions, and theta-polynomials math-ph · 2018 · author #2
  4. Hyperelliptic integrals modulo $p$ and Cartier-Manin matrices math.AG · 2018 · author #1
  5. Potentials of a Frobenius like structure math.AG · 2017 · author #2
  6. $q$-Hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem math.AG · 2017 · author #2
  7. Solutions modulo $p$ of Gauss-Manin differential equations for multidimensional hypergeometric integrals and associated Bethe ansatz math.AG · 2017 · author #1
  8. Remarks on the Gaudin model modulo $p$ math.AG · 2017 · author #1
  9. Solutions of KZ differential equations modulo $p$ math.AG · 2017 · author #2
  10. Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology math.RT · 2017 · author #3
  11. Critical points of master functions and mKdV hierarchy of type $A^{(2)}_{2n}$ math.AG · 2017 · author #1
  12. Potentials of a family of arrangements of hyperplanes and elementary subarrangements math.AG · 2016 · author #2
  13. Affine Macdonald conjectures and special values of Felder-Varchenko functions math.RT · 2016 · author #3
  14. Potentials of a Frobenius like structure and $m$ bases of a vector space math.AG · 2016 · author #2
  15. Cyclotomic discriminantal arrangements and diagram automorphisms of Lie algebras math.QA · 2016 · author #1
  16. On axioms of Frobenius like structure in the theory of arrangements math.AG · 2016 · author #1
  17. Rational differential forms on line and singular vectors in Verma modules over $\widehat {sl}_2$ math.AG · 2015 · author #2
  18. Vanishing cycles and Cartan eigenvectors math.GR · 2015 · author #4
  19. Populations of Solutions to Cyclotomic Bethe Equations math.QA · 2015 · author #1
  20. Critical set of the master function and characteristic variety of the associated Gauss-Manin differential equations math.AG · 2014 · author #1
  21. Characteristic variety of the Gauss-Manin differential equations of a generic parallelly translated arrangement math.AG · 2014 · author #1
  22. On the number of populations of critical points of master functions math.AG · 2013 · author #2
  23. Arrangements and Frobenius like structures math.AG · 2012 · author #1
  24. Critical points of master functions and integrable hierarchies math.AG · 2012 · author #1
  25. KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians math.QA · 2012 · author #3
  26. Vanishing products of one-forms and critical points of master functions math.AG · 2010 · author #4
  27. Quantum Integrable Model of an Arrangement of Hyperplanes math.QA · 2010 · author #1
  28. Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel math.QA · 2007 · author #3
  29. Combinatorial Formulae for Nested Bethe Vectors math.QA · 2007 · author #2
  30. Multiplicity of critical points of master functions and Schubert calculus math.QA · 2005 · author #3
  31. Selberg Integrals math.QA · 2004 · author #1
  32. Bethe Ansatz for Arrangements of Hyperplanes and the Gaudin Model math.QA · 2004 · author #1
  33. Norm of a Bethe Vector and the Hessian of the Master Function math.QA · 2004 · author #2
  34. Finite order invariants for $(n,2)$-torus knots and the curve $Y^2=X^3+X^2$ math.GT · 2004 · author #2
  35. Discrete Miura Opers and Solutions of the Bethe Ansatz Equations math.QA · 2004 · author #2
  36. Miura Opers and Critical Points of Master Functions math.QA · 2003 · author #2
  37. The orthogonality and qKZB-heat equation for traces of U_q(g)-intertwiners math.QA · 2003 · author #2
  38. Traces of intertwiners for quantum groups and difference equations, II math.QA · 2002 · author #3
  39. Special functions, KZ type equations and Representation theory math.QA · 2002 · author #1
  40. Dynamical Weyl groups and applications math.QA · 2000 · author #2
  41. Traces of intertwiners for quantum groups and difference equations, I math.QA · 1999 · author #2
  42. Remarks on critical points of phase functions and norms of Bethe vectors math.RT · 1998 · author #2
  43. Exchange dynamical quantum groups math.QA · 1998 · author #2
  44. Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups q-alg · 1997 · author #2
  45. Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations q-alg · 1997 · author #3
  46. Geometry of q-Hypergeometric Functions, Quantum Affine Algebras and Elliptic Quantum Groups q-alg · 1997 · author #2
  47. Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation q-alg · 1997 · author #2
  48. Canonical basis and homology of local systems q-alg · 1997 · author #3
  49. Quantization of geometry associated to the quantized Knizhnik-Zamolodchikov equations q-alg · 1996 · author #1
  50. Solutions of the elliptic qKZB equations and Bethe ansatz I q-alg · 1996 · author #2
  51. Geometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras q-alg · 1996 · author #2
  52. Three formulas for eigenfunctions of integrable Schroedinger operators hep-th · 1995 · author #2
  53. Bases of Bethe Vectors and Difference Equations with Regular Singular Points q-alg · 1995 · author #2
  54. Integral representation of solutions of the elliptic Knizhnik--Zamolodchikov--Bernard equations hep-th · 1995 · author #2
  55. Remarks on the structure constants of the Verlinde algebra associated to $sl_3$ hep-th · 1995 · author #2
  56. On algebraic equations satisfied by hypergeometric correlators in WZW models. II hep-th · 1994 · author #3
  57. Asymptotic Solutions to the Quantized Knizhnik-Zamolodchikov Equation and Bethe Vectors hep-th · 1994 · author #2
  58. Quasiclassical asymptotics of solutions to the KZ equations hep-th · 1994 · author #2
  59. Critical Points of the Product of Powers of Linear Functions and Families of Bases of Singular Vectors hep-th · 1993 · author #1
  60. Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation hep-th · 1993 · author #2

Mentions

  • 1509.05591 #4 · backfill · confidence 0.70 Alexander Varchenko
  • 1505.07582 #1 · backfill · confidence 0.70 Alexander Varchenko
  • 1410.2438 #1 · backfill · confidence 0.70 Alexander Varchenko
  • 1402.0924 #1 · backfill · confidence 0.70 Alexander Varchenko
  • 1306.4429 #2 · backfill · confidence 0.70 Alexander Varchenko
  • 1210.3802 #1 · backfill · confidence 0.70 Alexander Varchenko
  • 1207.2274 #1 · backfill · confidence 0.70 Alexander Varchenko
  • 1201.3990 #3 · backfill · confidence 0.70 Alexander Varchenko
  • 1010.3743 #4 · backfill · confidence 0.70 Alexander Varchenko
  • 1001.4553 #1 · backfill · confidence 0.70 Alexander Varchenko

Frequent Coauthors