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A. Varchenko

Identifiers

  • name variant A. Varchenko 0.60 · backfill

Papers (56)

  1. Elliptic and K-theoretic stable envelopes and Newton polytopes math.AG · 2017 · author #3
  2. On the Gaudin model associated to Lie algebras of classical types math.QA · 2015 · author #3
  3. Dynamical Gelfand-Zetlin algebra and equivariant cohomology of Grassmannians math.AG · 2015 · author #2
  4. Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae math.AG · 2015 · author #2
  5. Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety math.AG · 2014 · author #3
  6. BGG resolutions via configuration spaces math.AG · 2013 · author #3
  7. Critical points of master functions and the mKdV hierarchy of type A^2_2 math.AG · 2013 · author #1
  8. Spaces of quasi-exponentials and representations of the Yangian Y(gl_N) math.AG · 2013 · author #3
  9. Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety math.AG · 2013 · author #2
  10. Partial flag varieties, stable envelopes and weight functions math.AG · 2012 · author #3
  11. Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra math.AG · 2012 · author #4
  12. Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions math.AG · 2012 · author #3
  13. Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral math-ph · 2011 · author #3
  14. Cohomology of the complement to an elliptic arrangement math.AG · 2011 · author #2
  15. Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor math.AG · 2011 · author #2
  16. Norms of eigenfunctions to trigonometric KZB operators math.QA · 2010 · author #2
  17. Conformal blocks in the tensor product of vector representations and localization formulas math.QA · 2009 · author #2
  18. Path count asymptotics and Stirling numbers math.CO · 2009 · author #2
  19. Three sides of the geometric Langlands correspondence for gl_N Gaudin model and Bethe vector averaging maps math.QA · 2009 · author #3
  20. Bethe algebra of Gaudin model, Calogero-Moser space and Cherednik algebra math.QA · 2009 · author #3
  21. Gaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of gl_N math.QA · 2009 · author #3
  22. Unitarity of SL(2)-conformal blocks in genus zero math.QA · 2008 · author #2
  23. A Selberg Integral Type Formula for an sl_2 One-Dimensional Space of Conformal Blocks math.QA · 2008 · author #1
  24. The gl_2 Bethe algebra associated with a nilpotent element math.QA · 2008 · author #3
  25. On separation of variables and completeness of the Bethe ansatz for quantum gl_N Gaudin model math.QA · 2007 · author #3
  26. Schubert calculus and representations of general linear group math.QA · 2007 · author #3
  27. Bethe Algebra of Homogeneous XXX Heisenberg Model Has Simple Spectrum math.QA · 2007 · author #3
  28. Resonance relations, holomorphic trace functions and hypergeometric solutions to qKZB and Macdonald-Ruijsenaars equations math.QA · 2006 · author #2
  29. A generalization of the Capelli identity math.QA · 2006 · author #3
  30. Bispectral and (gl_N, gl_M) Dualities, Discrete Versus Differential math.QA · 2006 · author #3
  31. Determinants of the hypergeometric period matrices of an arrangement and its dual math.AG · 2006 · author #2
  32. Higher Lame Equations and Critical Points of Master Functions math.CA · 2006 · author #3
  33. The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz math.AG · 2005 · author #3
  34. Quiver $D$-Modules and Homology of Local Systems over an Arrangement of Hyperplanes math.QA · 2005 · author #2
  35. Bispectral and $(\glN,\glM)$ Dualities math.QA · 2005 · author #3
  36. Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form math.RT · 2005 · author #3
  37. Multiple orthogonal polynomials and a counterexample to Gaudin Bethe Ansatz Conjecture math.QA · 2005 · author #2
  38. Combinatorics of rational functions and Poincare-Birkhoff-Witt expansions of the canonical U(n-)-valued differential form math.CO · 2004 · author #3
  39. Multiplication Formulas for the Elliptic Gamma Function math.QA · 2002 · author #2
  40. Populations of solutions of the XXX Bethe equations associated to Kac-Moody algebras math.QA · 2002 · author #2
  41. Solutions to the XXX type Bethe ansatz equations and flag varieties math.QA · 2002 · author #2
  42. Critical points of master functions and flag varieties math.QA · 2002 · author #2
  43. How to regularize singular vectors and kill the dynamical Weyl group math.QA · 2002 · author #3
  44. Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator math.QA · 2002 · author #3
  45. Critical points of functions, sl_2 representations, and Fuchsian differential equations with only univalued solutions math.QA · 2001 · author #2
  46. Duality for Knizhnik-Zamolodchikov and Dynamical Equations math.QA · 2001 · author #2
  47. Solutions of Trigonometric KZ Equations satisfy Dynamical Difference Equations math.QA · 2001 · author #2
  48. Special functions, conformal blocks, Bethe ansatz, and SL(3,Z) math.QA · 2001 · author #2
  49. Difference Equations Compatible with Trigonometric KZ Differential Equations math.QA · 2000 · author #2
  50. Differential Equations Compatible with KZ Equations math.QA · 2000 · author #4
  51. Functorial properties of the hypergeometric map math.QA · 1998 · author #2
  52. Solutions of the qKZB Equation in Tensor Products of finite dimensional modules over the elliptic quantum group $E_{\tau,\eta}sl_2$ q-alg · 1997 · author #2
  53. On algebraic equations satisfied by hypergeometric solutions of the qKZ equation q-alg · 1997 · author #2
  54. Quantization of the space of conformal blocks q-alg · 1997 · author #2
  55. The Quantized Knizhnik-Zamolodchikov Equation in Tensor Products of Irreducible sl(2)-Modules q-alg · 1997 · author #2
  56. The Determinant of a Hypergeometric Period Matrix alg-geom · 1997 · author #3

Mentions

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Frequent Coauthors