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Monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian

Selecta mathematica (Basel, Switzerland), 2024-04, Vol.30 (2), Article 25

2024

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Construction of determinants for the six-vertex model with domain wall boundary conditions

Journal of physics. A, Mathematical and theoretical, 2023-07, Vol.56 (29), p.295204

2023

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Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space

European journal of mathematics, 2021-06, Vol.7 (2), p.706-728

2021

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Combinatorial Formulae for Nested Bethe Vectors

Symmetry, integrability and geometry, methods and applications, 2013-01, Vol.9, p.048

Tarasov, Vitaly

2013

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Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety

Central European journal of mathematics, 2014-05, Vol.12 (5), p.694-710

2014

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Metrics with four conic singularities and spherical quadrilaterals

Conformal geometry and dynamics, 2016-05, Vol.20 (8), p.128-175

2016

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Landau–Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety

Journal of geometry and physics, 2023-02, Vol.184, p.104711, Article 104711

2023

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KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians

Symmetry, integrability and geometry, methods and applications, 2012-01, Vol.8, p.072

Mukhin, Evgeny

2012

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q-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem

Journal of geometry and physics, 2019-08, Vol.142, p.179-212

2019

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Fuchsian Equations with Three Non-Apparent Singularities

Symmetry, integrability and geometry, methods and applications, 2018-06, Vol.14

2018

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Duality for Knizhnik-Zamolodchikov and Dynamical Operators

Symmetry, integrability and geometry, methods and applications, 2020-01

2020

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Lower bounds for numbers of real solutions in problems of Schubert calculus

Acta mathematica, 2016, Vol.217 (1), p.177-193

2016

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Metrics with conic singularities and spherical polygons

Illinois journal of mathematics, 2014-09, Vol.58 (3)

2014

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The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

Annals of mathematics, 2009-09, Vol.170 (2), p.863-881

2009

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Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel

Symmetry, integrability and geometry, methods and applications, 2007-01, Vol.3, p.060

Mukhin, Evgeny

2007

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On Conjectures of A. Eremenko and A. Gabrielov for Quasi-Exactly Solvable Quartic

Letters in mathematical physics, 2013-06, Vol.103 (6), p.653-663

2013

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Partial flag varieties, stable envelopes, and weight functions

Quantum topology, 2015-01, Vol.6 (2), p.333-364

2015

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Quantum Cohomology: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997

2002

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Reality Property of Discrete Wronski Map with Imaginary Step

Letters in mathematical physics, 2012-05, Vol.100 (2), p.151-160

2012

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Quantized Reduced Fusion Elements and Kostant’s Problem

Algebra, Geometry and Mathematical Physics, p.27-36

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The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

Annals of mathematics, 2009, Vol.170 (2), p.863-881

2009

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XXZ -type Bethe ansatz equations and quasi-polynomials

Journal of physics. Conference series, 2013-01, Vol.411 (1), p.12020-19

2013

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Yangians and Gelfand-Zetlin Bases

Publications of the Research Institute for Mathematical Sciences, 1994, Vol.30 (3), p.459-478

1994

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Bispectral and $(\mathfrak{gl}_{N},\mathfrak{gl}_{M})$ dualities

Functional analysis and other mathematics, 2007-11, Vol.1 (1), p.47-69

2007

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On irreducibility of tensor products of Yangian modules associated with skew Young diagrams

Duke mathematical journal, 2002-04, Vol.112 (2), p.343-378

2002

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Monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian

Construction of determinants for the six-vertex model with domain wall boundary conditions

Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space

Combinatorial Formulae for Nested Bethe Vectors

Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety

Metrics with four conic singularities and spherical quadrilaterals

Landau–Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety

KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians

q-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem

Fuchsian Equations with Three Non-Apparent Singularities

Duality for Knizhnik-Zamolodchikov and Dynamical Operators

Lower bounds for numbers of real solutions in problems of Schubert calculus

Metrics with conic singularities and spherical polygons

The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel

On Conjectures of A. Eremenko and A. Gabrielov for Quasi-Exactly Solvable Quartic

Partial flag varieties, stable envelopes, and weight functions

Quantum Cohomology: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997

Reality Property of Discrete Wronski Map with Imaginary Step

Quantized Reduced Fusion Elements and Kostant’s Problem

The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

XXZ -type Bethe ansatz equations and quasi-polynomials

Yangians and Gelfand-Zetlin Bases

Bispectral and $(\mathfrak{gl}_{N},\mathfrak{gl}_{M})$ dualities

On irreducibility of tensor products of Yangian modules associated with skew Young diagrams

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