Publications (61)
The orthogonality and qKZB-heat equation for traces of U_q(g)-intertwiners
Pavel Etingof, Alexander Varchenko
Critical points of master functions and mKdV hierarchy of type $A^{(2)}_{2n}$
Alexander Varchenko, Tyler Woodruff
Exchange dynamical quantum groups
Pavel Etingof, Alexander Varchenko
Cyclotomic discriminantal arrangements and diagram automorphisms of Lie algebras
Alexander Varchenko, Charles A. S. Young
Bethe Ansatz for Arrangements of Hyperplanes and the Gaudin Model
Alexander Varchenko
Vanishing products of one-forms and critical points of master functions
Daniel C. Cohen, Graham Denham, Michael Falk +1
Potentials of a Frobenius like structure and $m$ bases of a vector space
Claus Hertling, Alexander Varchenko
The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation
Giovanni Felder, Alexander Varchenko
Quantization of geometry associated to the quantized Knizhnik-Zamolodchikov equations
Alexander Varchenko
Geometry of q-Hypergeometric Functions, Quantum Affine Algebras and Elliptic Quantum Groups
Vitaly Tarasov, Alexander Varchenko
Miura Opers and Critical Points of Master Functions
Evgeny Mukhin, Alexander Varchenko
The elliptic gamma function and SL(3,Z) x Z^3
Giovanni Felder, Alexander Varchenko
Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation
Pavel Etingof, Alexander Varchenko
Algebraic Bethe ansatz for the elliptic quantum group $E_{Ï,η}(sl_2)$
Giovanni Felder, Alexander Varchenko
Geometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras
Vitaly Tarasov, Alexander Varchenko
Remarks on the structure constants of the Verlinde algebra associated to $sl_3$
Giovanni Felder, Alexander Varchenko
Algebraic integrability of the two-body Ruijsenaars operator
Giovanni Felder, Alexander Varchenko
Elliptic Selberg integrals and conformal blocks
Giovanni Felder, Laura Stevens, Alexander Varchenko
Asymptotic Solutions to the Quantized Knizhnik-Zamolodchikov Equation and Bethe Vectors
Vitaly Tarasov, Alexander Varchenko
Elliptic Selberg integrals
Giovanni Felder, Laura Stevens, Alexander Varchenko
Potentials of a family of arrangements of hyperplanes and elementary subarrangements
Andrew Prudhom, Alexander Varchenko
Integral representation of solutions of the elliptic Knizhnik--Zamolodchikov--Bernard equations
Giovanni Felder, Alexander Varchenko
Combinatorial Formulae for Nested Bethe Vectors
Vitaly Tarasov, Alexander Varchenko
q-deformed KZB heat equation: completeness, modular properties and SL(3,Z)
Giovanni Felder, Alexander Varchenko
Affine Macdonald conjectures and special values of Felder-Varchenko functions
Eric M. Rains, Yi Sun, Alexander Varchenko
Special functions, KZ type equations and Representation theory
Alexander Varchenko
Traces of intertwiners for quantum groups and difference equations, I
Pavel Etingof, Alexander Varchenko
Discrete Miura Opers and Solutions of the Bethe Ansatz Equations
Evgeny Mukhin, Alexander Varchenko
Critical set of the master function and characteristic variety of the associated Gauss-Manin differential equations
Alexander Varchenko
Elliptic quantum groups and Ruijsenaars models
Giovanni Felder, Alexander Varchenko
Resonance Relations for Solutions of the Elliptic QKZB Equations, Fusion Rules, and Eigenvectors of Transfer Matrices of Restricted Interaction-round-a-face Models
Giovanni Felder, Alexander Varchenko
Finite order invariants for $(n,2)$-torus knots and the curve $Y^2=X^3+X^2$
Svetlana Tyurina, Alexander Varchenko
Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
Pavel Etingof, Alexander Varchenko
On axioms of Frobenius like structure in the theory of arrangements
Alexander Varchenko
Solutions of the elliptic qKZB equations and Bethe ansatz I
Giovanni Felder, Alexander Varchenko, Vitaly Tarasov
Remarks on critical points of phase functions and norms of Bethe vectors
Evgeny Mukhin, Alexander Varchenko
Dynamical Weyl groups and applications
Pavel Etingof, Alexander Varchenko
Arrangements and Frobenius like structures
Alexander Varchenko
Hypergeometric theta functions and elliptic Macdonald polynomials
Giovanni Felder, Alexander Varchenko
Even powers of divisors and elliptic zeta values
Giovanni Felder, Alexander Varchenko
Norm of a Bethe Vector and the Hessian of the Master Function
Evgeny Mukhin, Alexander Varchenko
Quantum Integrable Model of an Arrangement of Hyperplanes
Alexander Varchenko
Quasiclassical asymptotics of solutions to the KZ equations
Nicolai Reshetikhin, Alexander Varchenko
Multiplicity of critical points of master functions and Schubert calculus
Prakash Belkale, Evgeny Mukhin, Alexander Varchenko
Populations of Solutions to Cyclotomic Bethe Equations
Alexander Varchenko, Charles A. S. Young
Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation
Vitaly Tarasov, Alexander Varchenko
Rational differential forms on line and singular vectors in Verma modules over $\widehat {sl}_2$
Vadim Schechtman, Alexander Varchenko
Canonical basis and homology of local systems
Igor Frenkel, Alexander Kirillov, Alexander Varchenko
On algebraic equations satisfied by hypergeometric correlators in WZW models. II
Boris Feigin, Vadim Schechtman, Alexander Varchenko
Three formulas for eigenfunctions of integrable Schroedinger operators
Giovanni Felder, Alexander Varchenko
Vanishing cycles and Cartan eigenvectors
Laura Brillon, Revaz Ramazashvili, Vadim Schechtman +1
Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel
Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko
On representations of the elliptic quantum group $E_{Ï,η}(sl_2)$
Giovanni Felder, Alexander Varchenko
Characteristic variety of the Gauss-Manin differential equations of a generic parallelly translated arrangement
Alexander Varchenko
Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations
Giovanni Felder, Vitaly Tarasov, Alexander Varchenko
Critical Points of the Product of Powers of Linear Functions and Families of Bases of Singular Vectors
Alexander Varchenko
Selberg Integrals
Alexander Varchenko
On the number of populations of critical points of master functions
Evgeny Mukhin, Alexander Varchenko
Traces of intertwiners for quantum groups and difference equations, II
Pavel Etingof, Olivier Schiffmann, Alexander Varchenko
KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians
Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko
Bases of Bethe Vectors and Difference Equations with Regular Singular Points
Vitaly Tarasov, Alexander Varchenko