Publications (52)
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
E. Mukhin, V. Tarasov, A. Varchenko
How to regularize singular vectors and kill the dynamical Weyl group
K. Styrkas, V. Tarasov, A. Varchenko
On solutions of Bethe equations for the XXZ model
V. Tarasov
Duality for Knizhnik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals
V. Tarasov
Solutions to the Quantized Knizhnik-Zamolodchikov Equation and the Bethe Ansatz
V. Tarasov, A. Varchenko
Cohomology of a flag variety as a Bethe algebra
R. Rimanyi, V. Schechtman, V. Tarasov +1
Elliptic and K-theoretic stable envelopes and Newton polytopes
R. Rimányi, V. Tarasov, A. Varchenko
Bethe algebra of Gaudin model, Calogero-Moser space and Cherednik algebra
E. Mukhin, V. Tarasov, A. Varchenko
Three sides of the geometric Langlands correspondence for gl_N Gaudin model and Bethe vector averaging maps
E. Mukhin, V. Tarasov, A. Varchenko
Small Elliptic Quantum Group $e_{tau,γ}(sl_N)$
V. Tarasov, A. Varchenko
Equivariant quantization of Poisson homogeneous spaces and Kostant's problem
E. Karolinsky, A. Stolin, V. Tarasov
Bethe algebra and algebra of functions on the space of differential operators of order two with polynomial solutions
E. Mukhin, V. Tarasov, A. Varchenko
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
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
A study of decays to strange final states with GlueX in Hall D using components of the BaBar DIRC
The GlueX Collaboration, M. Dugger, B. Ritchie +103
Dynamical differential equations compatible with rational qKZ equations
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
The Determinant of a Hypergeometric Period Matrix
Y. Markov, V. Tarasov, A. Varchenko
Reality property of discrete Wronski map with imaginary step
E. Mukhin, V. Tarasov, A. Varchenko
Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions
R. Rimanyi, V. Tarasov, A. Varchenko
Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra
V. Gorbounov, R. Rimanyi, V. Tarasov +1
Partial flag varieties, stable envelopes and weight functions
R. Rimanyi, V. Tarasov, A. Varchenko
Difference Equations Compatible with Trigonometric KZ Differential Equations
V. Tarasov, A. Varchenko
Gaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of gl_N
E. Mukhin, V. Tarasov, A. Varchenko
Duality for Knizhnik-Zamolodchikov and Dynamical Equations
V. Tarasov, A. Varchenko
Spaces of quasi-exponentials and representations of gl_N
E. Mukhin, V. Tarasov, A. Varchenko
Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral
R. Rimányi, V. Tarasov, A. Varchenko +1
Differential Equations Compatible with KZ Equations
G. Felder, Y. Markov, V. Tarasov +1
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
Irreducible highest-weight modules and equivariant quantization
E. Karolinsky, A. Stolin, V. Tarasov
On Bethe vectors in the XXZ model at roots of unity
V. Tarasov
Measurement of the beam asymmetry $Σ$ for $Ï^0$ and $η$ photoproduction on the proton at $E_γ= 9$ GeV
GlueX Collaboration, H. Al Ghoul, E. G. Anassontzis +123
Selberg Type Integrals Associated with $sl_3$
V. Tarasov, A. Varchenko
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
Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety
R. Rimanyi, V. Tarasov, A. Varchenko
On Conjectures of A. Eremenko and A. Gabrielov
E. Mukhin, V. Tarasov
XXZ-type Bethe ansatz equations and quasi-polynomials
J. R. Li, V. Tarasov
On separation of variables and completeness of the Bethe ansatz for quantum gl_N Gaudin model
E. Mukhin, V. Tarasov, A. Varchenko
Bethe subalgebras of the group algebra of the symmetric group
E. Mukhin, V. Tarasov, A. Varchenko
The gl_2 Bethe algebra associated with a nilpotent element
E. Mukhin, V. Tarasov, A. Varchenko
On solutions of the KZ and qKZ equations at level zero
A. Nakayashiki, S. Pakuliak, V. Tarasov
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
V. Tarasov, 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
Identities for hypergeometric integrals of different dimensions
V. Tarasov, A. Varchenko
Higher Lame Equations and Critical Points of Master Functions
E. Mukhin, V. Tarasov, A. Varchenko
Identities between q-hypergeometric and hypergeometric integrals of different dimensions
V. Tarasov, A. Varchenko
First Results from The GlueX Experiment
The GlueX Collaboration, H. Al Ghoul, E. G. Anassontzis +108
Bispectral and (gl_N, gl_M) Dualities, Discrete Versus Differential
E. Mukhin, V. Tarasov, A. Varchenko