Publications (64)
Bispectral and (gl_N, gl_M) Dualities, Discrete Versus Differential
E. Mukhin, V. Tarasov, A. Varchenko
A monomial basis for the Virasoro minimal series M(p,p') : the case 1<p'/p<2
B. Feigin, M. Jimbo, T. Miwa +2
Symmetric polynomials vanishing on the diagonals shifted by roots of unity
B. Feigin, M. Jimbo, T. Miwa +2
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
E. Mukhin, V. Tarasov, A. Varchenko
Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian
B. Feigin, E. Feigin, M. Jimbo +2
A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl_{2}^)
B. Feigin, M. Jimbo, M. Kashiwara +3
Addendum to `Bosonic formulas for $(k,l)$-admissible partitions'
B. Feigin, M. Jimbo, S. Loktev +2
Bethe algebra of the gl_{N+1} Gaudin model and algebra of functions on the critical set of the master function
E. Mukhin, V. Tarasov, A. Varchenko
Fermionic formulas for (k, 3)-admissible configurations
B. Feigin, M. Jimbo, T. Miwa +2
Populations of solutions of the XXX Bethe equations associated to Kac-Moody algebras
E. Mukhin, A. Varchenko
Combinatorics of the $\hat{sl_2}$ spaces of coinvariants II
B. Feigin, R. Kedem, S. Loktev +2
Gaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of gl_N
E. Mukhin, V. Tarasov, A. Varchenko
Critical points of master functions and flag varieties
E. Mukhin, A. Varchenko
A differential ideal of symmetric polynomials spanned by Jack polynomials at $β=-(r-1)/(k+1)$
B. Feigin, M. Jimbo, T. Miwa +1
Sets of rigged paths with Virasoro characters
B. Feigin, M. Jimbo, T. Miwa +2
On reality property of Wronski maps
E. Mukhin, V. Tarasov, A. Varchenko
Lower bounds for numbers of real solutions in problems of Schubert calculus
E. Mukhin, V. Tarasov
Factorization of alternating sums of Virasoro characters
E. Mukhin
Solutions of the qKZB Equation in Tensor Products of finite dimensional modules over the elliptic quantum group $E_{Ï,η}sl_2$
E. Mukhin, A. Varchenko
Branching rules for quantum toroidal gl(n)
B. Feigin, M. Jimbo, T. Miwa +1
Extended T-systems
E. Mukhin, C. A. S. Young
On Conjectures of A. Eremenko and A. Gabrielov
E. Mukhin, V. Tarasov
On separation of variables and completeness of the Bethe ansatz for quantum gl_N Gaudin model
E. Mukhin, V. Tarasov, A. Varchenko
On the Gaudin model associated to Lie algebras of classical types
Kang Lu, E. Mukhin, A. Varchenko
Differential equation for Jacobi-Pineiro polynomials
E. Mukhin, A. Varchenko
The gl_2 Bethe algebra associated with a nilpotent element
E. Mukhin, V. Tarasov, A. Varchenko
Quantum continuous $gl_\infty$: Tensor products of Fock modules and $W_n$ characters
B. Feigin, E. Feigin, M. Jimbo +2
The Quantized Knizhnik-Zamolodchikov Equation in Tensor Products of Irreducible sl(2)-Modules
E. Mukhin, A. Varchenko
Particle content of the (k,3)-configurations
B. Feigin, M. Jimbo, T. Miwa +2
Integrals of motion from quantum toroidal algebras
B. Feigin, M. Jimbo, E. Mukhin
Higher Lame Equations and Critical Points of Master Functions
E. Mukhin, V. Tarasov, A. Varchenko
Bosonic formulas for (k,l)-admissible partitions
B. Feigin, M. Jimbo, S. Loktev +2
Finite type modules and Bethe ansatz equations
B. Feigin, M. Jimbo, T. Miwa +1
Path description of type B q-characters
E. Mukhin, C. A. S. Young
Multiple orthogonal polynomials and a counterexample to Gaudin Bethe Ansatz Conjecture
E. Mukhin, A. Varchenko
Bosonic formulas for $\hat{sl_2}$ coinvariants
M. Jimbo, T. Miwa, E. Mukhin
Representations of quantum toroidal $gl_n$
B. Feigin, M. Jimbo, T. Miwa +1
Solutions to the XXX type Bethe ansatz equations and flag varieties
E. Mukhin, A. Varchenko
Bethe algebra of Gaudin model, Calogero-Moser space and Cherednik algebra
E. Mukhin, V. Tarasov, A. Varchenko
Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian
B. Feigin, E. Feigin, M. Jimbo +2
Quantum continuous $\mathfrak{gl}_\infty$: Semi-infinite construction of representations
B. Feigin, E. Feigin, M. Jimbo +2
Three sides of the geometric Langlands correspondence for gl_N Gaudin model and Bethe vector averaging maps
E. Mukhin, V. Tarasov, A. Varchenko
Bethe algebra and algebra of functions on the space of differential operators of order two with polynomial solutions
E. Mukhin, V. Tarasov, A. Varchenko
Schubert calculus and representations of general linear group
E. Mukhin, V. Tarasov, A. Varchenko
Bispectral and $(\glN,\glM)$ Dualities
E. Mukhin, V. Tarasov, A. Varchenko
On the new form of Bethe ansatz equations and separation of variables in the $sl_3$ Gaudin model
E. Mukhin, V. Schechtman, V. Tarasov +1
Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants
B. Feigin, R. Kedem, S. Loktev +2
Reality property of discrete Wronski map with imaginary step
E. Mukhin, V. Tarasov, A. Varchenko
Finite type modules and Bethe Ansatz for quantum toroidal gl(1)
B. Feigin, M. Jimbo, T. Miwa +1
Affinization of category O for quantum groups
C. A. S. Young, E. Mukhin
Spaces of quasi-exponentials and representations of gl_N
E. Mukhin, V. Tarasov, A. Varchenko
Quantization of the space of conformal blocks
E. Mukhin, A. Varchenko
Bethe Algebra of Homogeneous XXX Heisenberg Model Has Simple Spectrum
E. Mukhin, V. Tarasov, A. Varchenko
A generalization of the Capelli identity
E. Mukhin, V. Tarasov, A. Varchenko
Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants III
B. Feigin, R. Kedem, S. Loktev +2
Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials
B. Feigin, M. Jimbo, T. Miwa +1
Quantum toroidal gl(1) and Bethe ansatz
B. Feigin, M. Jimbo, T. Miwa +1
Bethe subalgebras of the group algebra of the symmetric group
E. Mukhin, V. Tarasov, A. Varchenko
Quantum toroidal $\mathfrak{gl}_1$ algebra : plane partitions
B. Feigin, M. Jimbo, T. Miwa +1
Functorial properties of the hypergeometric map
E. Mukhin, A. Varchenko
Bethe eigenvectors of higher transfer matrices
E. Mukhin, V. Tarasov, A. Varchenko
Spaces of quasi-exponentials and representations of the Yangian Y(gl_N)
E. Mukhin, V. Tarasov, A. Varchenko
Form factors and action of U_{\sqrt{-1}}(sl_2~) on infinite-cycles
M. Jimbo, T. Miwa, E. Mukhin +1
On algebraic equations satisfied by hypergeometric solutions of the qKZ equation
E. Mukhin, A. Varchenko