13 Publications
2017
Finite Type Modules and Bethe Ansatz Equations
Feigin, Boris⋅Jimbo, Michio⋅Miwa, Tetsuji and Mukhin, Eugene
Annales Henri Poincaré, vol. 18, (no. 8), pp. 2579, 20170800. | Journal Article
2016
Lower bounds for numbers of real solutions in problems of Schubert calculus
Mukhin, Evgeny⋅Mukhin, Evgeny⋅Mukhin, Evgeny⋅Tarasov, Vitaly⋅Tarasov, Vitaly and Tarasov, Vitaly
Acta Mathematica, vol. 217, (no. 1), pp. 177-193, Sep 2016. | Journal Article
2015
Invariants of the vacuum module associated with the Lie superalgebra gl(1|1)
Molev, A. I and Mukhin, E. E
Feb 11, 2015. | Journal Article
2014
Bethe Algebra of Gaudin Model, Calogero–Moser Space, and Cherednik Algebra
Mukhin, E⋅Tarasov, V and Varchenko, A
International mathematics research notices, vol. 2014, (no. 5), pp. 1174-1204, 2014. | Journal Article
2009
SCHUBERT CALCULUS AND REPRESENTATIONS OF THE GENERAL LINEAR GROUP
Mukhin, E⋅Tarasov, V and Varchenko, A
Journal of the American Mathematical Society, vol. 22, (no. 4), pp. 909-940, Oct 1, 2009. | Journal Article
 
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
Mukhin, Evgeny⋅Tarasov, Vitaly and Varchenko, Alexander
Annals of mathematics, vol. 170, (no. 2), pp. 863-881, Sep 1, 2009. | Journal Article
2006
Differential Equations for Jacobi-Pineiro Polynomials
Mukhin, Eugene and Varchenko, Alexander
Computational Methods and Function Theory, vol. 6, (no. 2), pp. 480, 20061200. | Journal Article
2005
Norm of a Bethe vector and the Hessian of the master function
Mukhin, Eugene and Varchenko, Alexander
Compositio Mathematica, vol. 141, (no. 4), pp. 1012-1028, Jul 2005. | Journal Article
2003
Symmetric polynomials vanishing on the diagonals shifted by roots of unity
Feigin, B.⋅Jimbo, M.⋅Miwa, T.⋅Mukhin, Eugene and Takeyama, Y.
International Mathematics Research Notices, vol. 2003, (no. 18), pp. 999-1014, 2003. | Journal Article
 
Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials
Feigin, B.⋅Jimbo, M.⋅Miwa, T. and Mukhin, Eugene
International Mathematics Research Notices, vol. 2003, (no. 18), pp. 1015-1034, 2003. | Journal Article
2001
Combinatorics of q-Characters of Finite-Dimensional Representations of Quantum Affine Algebras
Frenkel, Edward and Mukhin, Evgeny
Communications in mathematical physics, vol. 216, (no. 1), pp. 23-57, Jan 2001. | Journal Article
1998
On the quantized Knizhnik-Zamolodchikov equation (Dissertation)
Mukhin, Eugene (1998).
1991
Non-Standard Quantum Deformations of GL(n) and Constant Solutions of the Yang-Baxter Equation
DEMIDOV⋅E. E⋅MANIN⋅Yu. I⋅MUKHIN⋅ZHDANOVICH and D. V
Progress of theoretical physics. Supplement. (pp. 203-218). 日本: Progress of Theoretical Physics. Mar 29, 1991