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Tarasov, Vitaly Olegovich

Author ID: tarasov.vitaly-o Recent zbMATH articles by "Tarasov, Vitaly Olegovich"
Published as: Tarasov, V.; Tarasov, Vitaly; Tarasov, V. O.; Tarasov, Vitaly O.; Tarasov, Vitali
Homepage: https://science.iupui.edu/people-directory/people/tarasov-vitaly.html
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Serials

8 Letters in Mathematical Physics
6 Journal of Geometry and Physics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Advances in Mathematics
4 IMRN. International Mathematics Research Notices
3 Journal of Mathematical Sciences (New York)
3 St. Petersburg Mathematical Journal
3 Selecta Mathematica. New Series
3 Journal of Physics A: Mathematical and Theoretical
2 Communications in Mathematical Physics
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Algebra i Analiz
2 Transformation Groups
2 Moscow Mathematical Journal
1 International Journal of Modern Physics A
1 Houston Journal of Mathematics
1 Inverse Problems
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Gazette des Mathématiciens
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Acta Applicandae Mathematicae
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 Journal of Physics A: Mathematical and General
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Zapiski Nauchnykh Seminarov POMI
1 Mathematical Physics, Analysis and Geometry
1 Conformal Geometry and Dynamics
1 Annals of Mathematics. Second Series
1 Czechoslovak Journal of Physics
1 Central European Journal of Mathematics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Journal of Mathematical Physics, Analysis, Geometry
1 Astérisque
1 Proceedings of the Steklov Institute of Mathematics
1 Functional Analysis and Other Mathematics
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Confluentes Mathematici
1 Quantum Topology
1 European Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 1,205 times in 622 Documents Cited by Year
Schubert calculus and representations of the general linear group. Zbl 1205.17026
Mukhin, E.; Tarasov, V.; Varchenko, A.
67
2009
Geometry of \(q\)-hypergeometric functions, quantum affine algebras and elliptic quantum groups. Zbl 0938.17012
Tarasov, V.; Varchenko, A.
48
1997
Bethe eigenvectors of higher transfer matrices. Zbl 1456.82301
Mukhin, E.; Tarasov, V.; Varchenko, A.
46
2006
Differential equations compatible with KZ equations. Zbl 0984.35134
Felder, G.; Markov, Y.; Tarasov, V.; Varchenko, A.
43
2000
Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras. Zbl 0877.33013
Tarasov, V.; Varchenko, A.
38
1997
Representations of Yangians with Gelfand-Zetlin bases. Zbl 0885.17009
Nazarov, Maxim; Tarasov, Vitaly
36
1998
Bispectral and \((\mathfrak{gl}_N,\mathfrak{gl}_M)\) dualities, discrete versus differential. Zbl 1142.82005
Mukhin, E.; Tarasov, V.; Varchenko, A.
35
2008
Duality for Knizhnik-Zamolodchikov and dynamical equations. Zbl 1013.17006
Tarasov, V.; Varchenko, A.
35
2002
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz. Zbl 1213.14101
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
34
2009
Initial boundary value problem for the nonlinear Schrödinger equation. Zbl 0753.35090
Bikbaev, R. F.; Tarasov, V. O.
33
1991
Yangians and Gelfand-Zetlin bases. Zbl 0929.17009
Nazarov, Maxim; Tarasov, Vitaly
33
1994
Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra. Zbl 1287.81063
Gorbounov, V.; Rimányi, R.; Tarasov, V.; Varchenko, A.
32
2013
Bethe algebra of homogeneous \(XXX\) Heisenberg model has simple spectrum. Zbl 1173.82006
Mukhin, E.; Tarasov, V.; Varchenko, A.
32
2009
The integrable initial-boundary value problem on a semiline: Nonlinear Schrödinger and sine-Gordon equations. Zbl 0732.35089
Tarasov, V. O.
30
1991
Trigonometric weight functions as \(K\)-theoretic stable envelope maps for the cotangent bundle of a flag variety. Zbl 1349.19002
Rimányi, R.; Tarasov, V.; Varchenko, A.
30
2015
Difference equations compatible with trigonometric KZ differential equations. Zbl 0971.39009
Tarasov, V.; Varchenko, A.
27
2000
On irreducibility of tensor products of Yangian modules associated with skew Young diagrams. Zbl 1027.17013
Nazarov, Maxim; Tarasov, Vitaly
22
2002
Jackson integral representations for solutions of the quantized Knizhnik- Zamolodchikov equation. Zbl 0818.33012
Varchenko, A. N.; Tarasov, V. O.
21
1994
KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
21
2012
Partial flag varieties, stable envelopes, and weight functions. Zbl 1361.14030
Rimányi, Richárd; Tarasov, Vitaly; Varchenko, Alexander
21
2015
Elliptic and \(K\)-theoretic stable envelopes and Newton polytopes. Zbl 1452.55009
Rimányi, R.; Tarasov, V.; Varchenko, A.
21
2019
Solutions of the elliptic qKZB equations and Bethe ansatz. I. Zbl 0884.65127
Felder, T. G.; Tarasov, V.; Varchenko, A.
20
1997
Combinatorial formulae for nested Bethe vectors. Zbl 1288.82024
Tarasov, Vitaly; Varchenko, Alexander
19
2013
Metrics with conic singularities and spherical polygons. Zbl 1405.30005
Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly
19
2014
Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of \(\mathfrak{gl}_{N}\). Zbl 1219.82121
Mukhin, E.; Tarasov, V.; Varchenko, A.
17
2011
Spaces of quasi-exponentials and representations of the Yangian \(Y(\mathfrak{gl}_N)\). Zbl 1365.17006
Mukhin, E.; Tarasov, V.; Varchenko, A.
16
2014
Bispectral and \((\mathfrak{gl}_{N},\mathfrak{gl}_{M})\) dualities. Zbl 1156.82005
Mukhin, Evgenii E.; Tarasov, Vitaly O.; Varchenko, Alexander N.
16
2006
A generalization of the Capelli identity. Zbl 1287.17026
Mukhin, E.; Tarasov, V.; Varchenko, A.
16
2009
Cyclic monodromy matrices for the \(R\)-matrix of the six-vertex model and the chiral Potts model with fixed spin boundary conditions. Zbl 0925.17018
Tarasov, Vitaly O.
15
1992
On irreducibility of tensor products of Yangian modules. Zbl 0893.17011
Nazarov, Maxim; Tarasov, Vitaly
15
1998
Selberg-type integrals associated with \(\mathfrak{sl}_3\). Zbl 1055.33016
Tarasov, V.; Varchenko, A.
15
2003
Metrics with four conic singularities and spherical quadrilaterals. Zbl 1343.30007
Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly
15
2016
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety. Zbl 1294.82016
Tarasov, Vitaly; Varchenko, Alexander
14
2014
Off-shell Bethe vectors and Drinfeld currents. Zbl 1148.17010
Khoroshkin, S.; Pakuliak, S.; Tarasov, V.
14
2007
Bethe algebra of Gaudin model, Calogero-Moser space, and Cherednik algebra. Zbl 1304.82021
Mukhin, E.; Tarasov, V.; Varchenko, A.
13
2014
Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations. Zbl 1038.32500
Felder, G.; Tarasov, V.; Varchenko, A.
13
1999
Cyclic monodromy matrices for \(sl(n)\) trigonometric \(R\)-matrices. Zbl 0804.17011
Tarasov, Vitaly
13
1993
Spaces of quasi-exponentials and representations of \(\mathfrak{gl}_N\). Zbl 1142.81011
Mukhin, E.; Tarasov, V.; Varchenko, A.
13
2008
On reality property of Wronski maps. Zbl 1181.81065
Mukhin, E.; Tarasov, V.; Varchenko, A.
12
2009
Generating operator of \(XXX\) or Gaudin transfer matrices has quasi-exponential kernel. Zbl 1140.82015
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
12
2007
Spherical quadrilaterals with three non-integer angles. Zbl 1364.30048
Eremenko, A.; Gabrielov, A.; Tarasov, V.
12
2016
Dynamical differential equations compatible with rational qKZ equations. Zbl 1064.32012
Tarasov, V.; Varchenko, A.
11
2005
Extended Joseph polynomials, quantized conformal blocks, and a \(q\)-Selberg type integral. Zbl 1254.22013
Rimányi, Richard; Tarasov, Vitaly O.; Varchenko, A.; Zinn-Justin, Paul
11
2012
Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors. Zbl 0883.17021
Tarasov, V. O.; Varchenko, A. N.
10
1996
Completeness of Bethe vectors and difference equations with regular singular points. Zbl 0860.17022
Tarasov, Vitaly; Varchenko, Alexander
10
1995
Jackson integral representations of solutions of the quantized Knizhnik- Zamolodchikov equation. Zbl 0824.33012
Varchenko, A. N.; Tarasov, V. O.
9
1994
Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization. Zbl 1102.17003
Karolinsky, E.; Muzykin, K.; Stolin, K. A.; Tarasov, V.
9
2005
Bethe subalgebras of the group algebra of the symmetric group. Zbl 1276.82014
Mukhin, E.; Tarasov, V.; Varchenko, A.
9
2013
Boundary-value problem for nonlinear Schrödinger equation. Zbl 0696.35169
Bibikov, P. N.; Tarasov, V. O.
7
1989
The boundary value problem for the nonlinear Schrödinger equation. Zbl 0693.35143
Tarasov, V. O.
7
1988
Irreducible highest weight modules and equivariant quantization. Zbl 1222.53093
Karolinsky, E.; Stolin, A.; Tarasov, V.
7
2007
Fuchsian equations with three non-apparent singularities. Zbl 1397.34153
Eremenko, Alexandre; Tarasov, Vitaly
7
2018
The determinant of a hypergeometric period matrix. Zbl 0968.32015
Markov, Y.; Tarasov, V.; Varchenko, A.
6
1998
Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions. Zbl 1328.14082
Rimányi, R.; Tarasov, V.; Varchenko, A.
6
2014
On solutions of the KZ and qKZ equations at level zero. Zbl 0941.35089
Nakayashiki, A.; Pakuliak, S.; Tarasov, V.
6
1999
On Bethe vectors for the \(XXZ\) model at roots of unity. Zbl 1130.82009
Tarasov, V. O.
5
2002
On separation of variables and completeness of the Bethe ansatz for quantum \(\mathfrak{gl}_N\) Gaudin model. Zbl 1158.81336
Mukhin, E.; Tarasov, V.; Varchenko, A.
5
2009
Cohomology of a flag variety as a Bethe algebra. Zbl 1271.14072
Rimányi, R.; Schechtman, V.; Tarasov, V.; Varchenko, A.
5
2011
Lower bounds for numbers of real solutions in problems of Schubert calculus. Zbl 1365.14070
Mukhin, Evgeny; Tarasov, Vitaly
5
2016
Bethe algebra of the \({\mathfrak {gl}}_{N+1}\) Gaudin model and algebra of functions on the critical set of the master function. Zbl 1221.82038
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
4
2011
Three sides of the geometric Langlands correspondence for \(\mathfrak{gl}_N\) Gaudin model and Bethe vector averaging maps. Zbl 1260.82025
Mukhin, Eugene; Tarasov, Vitaly; Varchenko, Alexander
4
2012
Small elliptic quantum group \(e_{\tau,\gamma}(\mathfrak{sl}_N)\). Zbl 0998.17018
Tarasov, V.; Varchenko, A.
4
2001
How to regularize singular vectors and kill the dynamical Weyl group. Zbl 1046.17004
Styrkas, K.; Tarasov, V.; Varchenko, A.
4
2004
Completeness of the Bethe ansatz for the periodic isotropic Heisenberg model. Zbl 1434.82030
Tarasov, V.
4
2018
Equivariant quantization of Poisson homogeneous spaces and Kostant’s problem. Zbl 1368.17018
Karolinsky, E.; Stolin, A.; Tarasov, V.
3
2014
Duality for Bethe algebras acting on polynomials in anticommuting variables. Zbl 1468.17021
Tarasov, V.; Uvarov, F.
3
2020
Reality property of discrete Wronski map with imaginary step. Zbl 1299.81027
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
3
2012
Identities between \(q\)-hypergeometric and hypergeometric integrals of different dimensions. Zbl 1113.33015
Tarasov, V.; Varchenko, A.
3
2005
Equivariant quantum differential equation, Stokes bases, and \(K\)-theory for a projective space. Zbl 1475.14111
Tarasov, Vitaly; Varchenko, Alexander
3
2021
Duality for Knizhnik-Zamolodchikov and dynamical operators. Zbl 1487.17035
Tarasov, Vitaly; Uvarov, Filipp
3
2020
\(q\)-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem. Zbl 1419.82020
Tarasov, Vitaly; Varchenko, Alexander
3
2019
Solutions to the quantized Knizhnik-Zamolodchikov equation and the Bethe-Ansatz. Zbl 0902.39002
Tarasov, V.; Varchenko, A.
2
1995
A nonhomogeneous boundary value problem on a semiaxis and on an interval for the sine-Gordon equation. Zbl 0791.35120
Bikbaev, R. F.; Tarasov, V. O.
2
1991
An inhomogeneous boundary value problem on the semi-axis and on the closed interval for the sine-Gordon equation. Zbl 0762.35099
Bikbaev, R. F.; Tarasov, V. O.
2
1991
On conjectures of A. Eremenko and A. Gabrielov for quasi-exactly solvable quartic. Zbl 1269.81041
Mukhin, Evgeny; Tarasov, Vitaly
2
2013
Higher Lamé equations and critical points of master functions. Zbl 1204.34122
Mukhin, E.; Tarasov, V.; Varchenko, A.
2
2007
Determinant formula for solutions of the quantum Knizhnik-Zamolodchikov equation associated with \(U_q (sl_n)\) at \(|q|=1\). Zbl 0963.33006
Miwa, Tetsuji; Takeyama, Yoshihiro; Tarasov, Vitaly
2
1999
Landau-Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety. Zbl 1512.14032
Tarasov, Vitaly; Varchenko, Alexander
2
2023
Completeness of the Bethe ansatz for the periodic isotropic Heisenberg model. Zbl 1397.82019
Tarasov, V.
2
2018
Bethe subalgebras in affine Birman-Murakami-Wenzl algebras and flat connections for q-KZ equations. Zbl 1357.81121
Isaev, A. P.; Kirillov, A. N.; Tarasov, V. O.
2
2016
Completeness of the hypergeometric solutions to the qKZ equation at level zero. Zbl 0964.39016
Tarasov, V.
1
2000
Identities for hypergeometric integrals of different dimensions. Zbl 1088.33009
Tarasov, V.; Varchenko, A.
1
2005
Bethe algebra and the algebra of functions on the space of differential operators of order two with polynomial kernel. Zbl 1171.82008
Mukhin, E.; Tarasov, V.; Varchenko, A.
1
2008
Boundary-value problem for the nonlinear Schrödinger equation. Zbl 0725.35075
Tarasov, V. O.
1
1991
From dynamical to non-dynamical twists. Zbl 1097.17009
Karolinsky, E.; Stolin, A.; Tarasov, V.
1
2005
On a new form of Bethe ansatz equations and separation of variables in the \( \mathfrak{sl}_3\) Gaudin model. Zbl 1154.82308
Mukhin, E.; Schechtman, V.; Tarasov, V.; Varchenko, A.
1
2007
Dynamical Yang-Baxter equation and quantization of certain Poisson brackets. Zbl 1103.17004
Karolinsky, Eugene; Stolin, Alexander; Tarasov, Vitaly
1
2005
Landau-Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety. Zbl 1512.14032
Tarasov, Vitaly; Varchenko, Alexander
2
2023
Equivariant quantum differential equation, Stokes bases, and \(K\)-theory for a projective space. Zbl 1475.14111
Tarasov, Vitaly; Varchenko, Alexander
3
2021
Duality for Bethe algebras acting on polynomials in anticommuting variables. Zbl 1468.17021
Tarasov, V.; Uvarov, F.
3
2020
Duality for Knizhnik-Zamolodchikov and dynamical operators. Zbl 1487.17035
Tarasov, Vitaly; Uvarov, Filipp
3
2020
Elliptic and \(K\)-theoretic stable envelopes and Newton polytopes. Zbl 1452.55009
Rimányi, R.; Tarasov, V.; Varchenko, A.
21
2019
\(q\)-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem. Zbl 1419.82020
Tarasov, Vitaly; Varchenko, Alexander
3
2019
Fuchsian equations with three non-apparent singularities. Zbl 1397.34153
Eremenko, Alexandre; Tarasov, Vitaly
7
2018
Completeness of the Bethe ansatz for the periodic isotropic Heisenberg model. Zbl 1434.82030
Tarasov, V.
4
2018
Completeness of the Bethe ansatz for the periodic isotropic Heisenberg model. Zbl 1397.82019
Tarasov, V.
2
2018
Metrics with four conic singularities and spherical quadrilaterals. Zbl 1343.30007
Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly
15
2016
Spherical quadrilaterals with three non-integer angles. Zbl 1364.30048
Eremenko, A.; Gabrielov, A.; Tarasov, V.
12
2016
Lower bounds for numbers of real solutions in problems of Schubert calculus. Zbl 1365.14070
Mukhin, Evgeny; Tarasov, Vitaly
5
2016
Bethe subalgebras in affine Birman-Murakami-Wenzl algebras and flat connections for q-KZ equations. Zbl 1357.81121
Isaev, A. P.; Kirillov, A. N.; Tarasov, V. O.
2
2016
Trigonometric weight functions as \(K\)-theoretic stable envelope maps for the cotangent bundle of a flag variety. Zbl 1349.19002
Rimányi, R.; Tarasov, V.; Varchenko, A.
30
2015
Partial flag varieties, stable envelopes, and weight functions. Zbl 1361.14030
Rimányi, Richárd; Tarasov, Vitaly; Varchenko, Alexander
21
2015
Metrics with conic singularities and spherical polygons. Zbl 1405.30005
Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly
19
2014
Spaces of quasi-exponentials and representations of the Yangian \(Y(\mathfrak{gl}_N)\). Zbl 1365.17006
Mukhin, E.; Tarasov, V.; Varchenko, A.
16
2014
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety. Zbl 1294.82016
Tarasov, Vitaly; Varchenko, Alexander
14
2014
Bethe algebra of Gaudin model, Calogero-Moser space, and Cherednik algebra. Zbl 1304.82021
Mukhin, E.; Tarasov, V.; Varchenko, A.
13
2014
Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions. Zbl 1328.14082
Rimányi, R.; Tarasov, V.; Varchenko, A.
6
2014
Equivariant quantization of Poisson homogeneous spaces and Kostant’s problem. Zbl 1368.17018
Karolinsky, E.; Stolin, A.; Tarasov, V.
3
2014
Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra. Zbl 1287.81063
Gorbounov, V.; Rimányi, R.; Tarasov, V.; Varchenko, A.
32
2013
Combinatorial formulae for nested Bethe vectors. Zbl 1288.82024
Tarasov, Vitaly; Varchenko, Alexander
19
2013
Bethe subalgebras of the group algebra of the symmetric group. Zbl 1276.82014
Mukhin, E.; Tarasov, V.; Varchenko, A.
9
2013
On conjectures of A. Eremenko and A. Gabrielov for quasi-exactly solvable quartic. Zbl 1269.81041
Mukhin, Evgeny; Tarasov, Vitaly
2
2013
KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
21
2012
Extended Joseph polynomials, quantized conformal blocks, and a \(q\)-Selberg type integral. Zbl 1254.22013
Rimányi, Richard; Tarasov, Vitaly O.; Varchenko, A.; Zinn-Justin, Paul
11
2012
Three sides of the geometric Langlands correspondence for \(\mathfrak{gl}_N\) Gaudin model and Bethe vector averaging maps. Zbl 1260.82025
Mukhin, Eugene; Tarasov, Vitaly; Varchenko, Alexander
4
2012
Reality property of discrete Wronski map with imaginary step. Zbl 1299.81027
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
3
2012
Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of \(\mathfrak{gl}_{N}\). Zbl 1219.82121
Mukhin, E.; Tarasov, V.; Varchenko, A.
17
2011
Cohomology of a flag variety as a Bethe algebra. Zbl 1271.14072
Rimányi, R.; Schechtman, V.; Tarasov, V.; Varchenko, A.
5
2011
Bethe algebra of the \({\mathfrak {gl}}_{N+1}\) Gaudin model and algebra of functions on the critical set of the master function. Zbl 1221.82038
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
4
2011
Schubert calculus and representations of the general linear group. Zbl 1205.17026
Mukhin, E.; Tarasov, V.; Varchenko, A.
67
2009
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz. Zbl 1213.14101
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
34
2009
Bethe algebra of homogeneous \(XXX\) Heisenberg model has simple spectrum. Zbl 1173.82006
Mukhin, E.; Tarasov, V.; Varchenko, A.
32
2009
A generalization of the Capelli identity. Zbl 1287.17026
Mukhin, E.; Tarasov, V.; Varchenko, A.
16
2009
On reality property of Wronski maps. Zbl 1181.81065
Mukhin, E.; Tarasov, V.; Varchenko, A.
12
2009
On separation of variables and completeness of the Bethe ansatz for quantum \(\mathfrak{gl}_N\) Gaudin model. Zbl 1158.81336
Mukhin, E.; Tarasov, V.; Varchenko, A.
5
2009
Bispectral and \((\mathfrak{gl}_N,\mathfrak{gl}_M)\) dualities, discrete versus differential. Zbl 1142.82005
Mukhin, E.; Tarasov, V.; Varchenko, A.
35
2008
Spaces of quasi-exponentials and representations of \(\mathfrak{gl}_N\). Zbl 1142.81011
Mukhin, E.; Tarasov, V.; Varchenko, A.
13
2008
Bethe algebra and the algebra of functions on the space of differential operators of order two with polynomial kernel. Zbl 1171.82008
Mukhin, E.; Tarasov, V.; Varchenko, A.
1
2008
Off-shell Bethe vectors and Drinfeld currents. Zbl 1148.17010
Khoroshkin, S.; Pakuliak, S.; Tarasov, V.
14
2007
Generating operator of \(XXX\) or Gaudin transfer matrices has quasi-exponential kernel. Zbl 1140.82015
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
12
2007
Irreducible highest weight modules and equivariant quantization. Zbl 1222.53093
Karolinsky, E.; Stolin, A.; Tarasov, V.
7
2007
Higher Lamé equations and critical points of master functions. Zbl 1204.34122
Mukhin, E.; Tarasov, V.; Varchenko, A.
2
2007
On a new form of Bethe ansatz equations and separation of variables in the \( \mathfrak{sl}_3\) Gaudin model. Zbl 1154.82308
Mukhin, E.; Schechtman, V.; Tarasov, V.; Varchenko, A.
1
2007
Bethe eigenvectors of higher transfer matrices. Zbl 1456.82301
Mukhin, E.; Tarasov, V.; Varchenko, A.
46
2006
Bispectral and \((\mathfrak{gl}_{N},\mathfrak{gl}_{M})\) dualities. Zbl 1156.82005
Mukhin, Evgenii E.; Tarasov, Vitaly O.; Varchenko, Alexander N.
16
2006
Dynamical differential equations compatible with rational qKZ equations. Zbl 1064.32012
Tarasov, V.; Varchenko, A.
11
2005
Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization. Zbl 1102.17003
Karolinsky, E.; Muzykin, K.; Stolin, K. A.; Tarasov, V.
9
2005
Identities between \(q\)-hypergeometric and hypergeometric integrals of different dimensions. Zbl 1113.33015
Tarasov, V.; Varchenko, A.
3
2005
Identities for hypergeometric integrals of different dimensions. Zbl 1088.33009
Tarasov, V.; Varchenko, A.
1
2005
From dynamical to non-dynamical twists. Zbl 1097.17009
Karolinsky, E.; Stolin, A.; Tarasov, V.
1
2005
Dynamical Yang-Baxter equation and quantization of certain Poisson brackets. Zbl 1103.17004
Karolinsky, Eugene; Stolin, Alexander; Tarasov, Vitaly
1
2005
How to regularize singular vectors and kill the dynamical Weyl group. Zbl 1046.17004
Styrkas, K.; Tarasov, V.; Varchenko, A.
4
2004
Selberg-type integrals associated with \(\mathfrak{sl}_3\). Zbl 1055.33016
Tarasov, V.; Varchenko, A.
15
2003
Duality for Knizhnik-Zamolodchikov and dynamical equations. Zbl 1013.17006
Tarasov, V.; Varchenko, A.
35
2002
On irreducibility of tensor products of Yangian modules associated with skew Young diagrams. Zbl 1027.17013
Nazarov, Maxim; Tarasov, Vitaly
22
2002
On Bethe vectors for the \(XXZ\) model at roots of unity. Zbl 1130.82009
Tarasov, V. O.
5
2002
Small elliptic quantum group \(e_{\tau,\gamma}(\mathfrak{sl}_N)\). Zbl 0998.17018
Tarasov, V.; Varchenko, A.
4
2001
Differential equations compatible with KZ equations. Zbl 0984.35134
Felder, G.; Markov, Y.; Tarasov, V.; Varchenko, A.
43
2000
Difference equations compatible with trigonometric KZ differential equations. Zbl 0971.39009
Tarasov, V.; Varchenko, A.
27
2000
Completeness of the hypergeometric solutions to the qKZ equation at level zero. Zbl 0964.39016
Tarasov, V.
1
2000
Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations. Zbl 1038.32500
Felder, G.; Tarasov, V.; Varchenko, A.
13
1999
On solutions of the KZ and qKZ equations at level zero. Zbl 0941.35089
Nakayashiki, A.; Pakuliak, S.; Tarasov, V.
6
1999
Determinant formula for solutions of the quantum Knizhnik-Zamolodchikov equation associated with \(U_q (sl_n)\) at \(|q|=1\). Zbl 0963.33006
Miwa, Tetsuji; Takeyama, Yoshihiro; Tarasov, Vitaly
2
1999
Representations of Yangians with Gelfand-Zetlin bases. Zbl 0885.17009
Nazarov, Maxim; Tarasov, Vitaly
36
1998
On irreducibility of tensor products of Yangian modules. Zbl 0893.17011
Nazarov, Maxim; Tarasov, Vitaly
15
1998
The determinant of a hypergeometric period matrix. Zbl 0968.32015
Markov, Y.; Tarasov, V.; Varchenko, A.
6
1998
Geometry of \(q\)-hypergeometric functions, quantum affine algebras and elliptic quantum groups. Zbl 0938.17012
Tarasov, V.; Varchenko, A.
48
1997
Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras. Zbl 0877.33013
Tarasov, V.; Varchenko, A.
38
1997
Solutions of the elliptic qKZB equations and Bethe ansatz. I. Zbl 0884.65127
Felder, T. G.; Tarasov, V.; Varchenko, A.
20
1997
Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors. Zbl 0883.17021
Tarasov, V. O.; Varchenko, A. N.
10
1996
Completeness of Bethe vectors and difference equations with regular singular points. Zbl 0860.17022
Tarasov, Vitaly; Varchenko, Alexander
10
1995
Solutions to the quantized Knizhnik-Zamolodchikov equation and the Bethe-Ansatz. Zbl 0902.39002
Tarasov, V.; Varchenko, A.
2
1995
Yangians and Gelfand-Zetlin bases. Zbl 0929.17009
Nazarov, Maxim; Tarasov, Vitaly
33
1994
Jackson integral representations for solutions of the quantized Knizhnik- Zamolodchikov equation. Zbl 0818.33012
Varchenko, A. N.; Tarasov, V. O.
21
1994
Jackson integral representations of solutions of the quantized Knizhnik- Zamolodchikov equation. Zbl 0824.33012
Varchenko, A. N.; Tarasov, V. O.
9
1994
Cyclic monodromy matrices for \(sl(n)\) trigonometric \(R\)-matrices. Zbl 0804.17011
Tarasov, Vitaly
13
1993
Cyclic monodromy matrices for the \(R\)-matrix of the six-vertex model and the chiral Potts model with fixed spin boundary conditions. Zbl 0925.17018
Tarasov, Vitaly O.
15
1992
Initial boundary value problem for the nonlinear Schrödinger equation. Zbl 0753.35090
Bikbaev, R. F.; Tarasov, V. O.
33
1991
The integrable initial-boundary value problem on a semiline: Nonlinear Schrödinger and sine-Gordon equations. Zbl 0732.35089
Tarasov, V. O.
30
1991
A nonhomogeneous boundary value problem on a semiaxis and on an interval for the sine-Gordon equation. Zbl 0791.35120
Bikbaev, R. F.; Tarasov, V. O.
2
1991
An inhomogeneous boundary value problem on the semi-axis and on the closed interval for the sine-Gordon equation. Zbl 0762.35099
Bikbaev, R. F.; Tarasov, V. O.
2
1991
Boundary-value problem for the nonlinear Schrödinger equation. Zbl 0725.35075
Tarasov, V. O.
1
1991
Boundary-value problem for nonlinear Schrödinger equation. Zbl 0696.35169
Bibikov, P. N.; Tarasov, V. O.
7
1989
The boundary value problem for the nonlinear Schrödinger equation. Zbl 0693.35143
Tarasov, V. O.
7
1988
all top 5

Cited by 562 Authors

58 Varchenko, Alexander Nikolaevich
45 Tarasov, Vitaly Olegovich
34 Mukhin, Evgeny
22 Rimányi, Richárd
17 Pakuliak, Stanislav Z.
16 Ragoucy, Eric
15 Molev, Alexander I.
14 Mudrov, Andrey I.
13 Morozov, Alexei Yurievich
13 Zabrodin, Anton V.
13 Zotov, Andrei V.
12 Mironov, Andrei D.
12 Slavnov, Nikita A.
12 Young, Charles A. S.
11 Khoroshkin, Sergey M.
10 Eremenko, Alexandre Émmanuilovich
9 Feĭgin, Boris L’vovich
9 Nazarov, Maxim Leonidovich
8 Gabrielov, Andrei
8 Khabibullin, Ismagil Talgatovich
8 Koroteev, Peter
8 Nepomechie, Rafael I.
8 Niccoli, Giuliano
8 Weber, Andrzej
7 Caudrelier, Vincent
7 Rybnikov, Leonid Grigor’evich
7 Smirnov, Andrey V.
7 Toledano Laredo, Valerio
7 Vicedo, Benoît
7 Zenkevich, Yegor
6 Awata, Hidetoshi
6 Belliard, Samuel
6 Crampé, Nicolas
6 Felder, Giovanni
6 Ito, Masahiko
6 Kanno, Hiroaki
6 Lu, Kang
6 Purbhoo, Kevin
6 Zeitlin, Anton M.
6 Zinn-Justin, Paul
5 Galleas, Wellington
5 Gorskiĭ, Aleksandr Sergeevich
5 Jimbo, Michio
5 Sottile, Frank
5 Su, Changjian
5 Volin, Dmytro
5 Warnaar, S. Ole
5 Zhang, Cheng
4 Biondini, Gino
4 Etingof, Pavel Il’ich
4 Fehér, László M.
4 Finkel, Federico
4 Finkelberg, Michael Vladlenovich
4 González-López, Artemio
4 Gromov, Nikolay A.
4 Kozlowski, Karol Kajetan
4 Levinson, Jake
4 Levkovich-Maslyuk, Fedor
4 Liashyk, A. N.
4 Lin, Chang-Shou
4 Maillet, Jean-Michel
4 Ogievetsky, Oleg V.
4 Regelskis, Vidas
4 Schechtman, Vadim
4 Stokman, Jasper V.
4 Uvarov, Filipp
4 Wendlandt, Curtis
4 Xu, Xiaomeng
4 Zhong, Changlong
3 Appel, Andrea
3 Avan, Jean
3 Basu-Mallick, Bireswar
3 Bikbaev, Ramil’ F.
3 Boutet de Monvel, Anne Marie
3 Corrigan, Edward
3 Derkachëv, Sergeĭ Èduardovich
3 Frenkel, Edward V.
3 Gainutdinov, Azat M.
3 Gautam, Sachin Singh
3 Gillespie, Maria Monks
3 Grosjean, Nicolas
3 Hein, Nickolas
3 Hernandez, David
3 Huang, Chenliang
3 Ignat’ev, Mikhail Yur’evich
3 Jacobsen, Jesper Lykke
3 Jing, Naihuan
3 Karowski, Michael
3 Katori, Makoto
3 Knutson, Allen
3 Korff, Christian
3 Kumar, Shrawan
3 Leurent, Sebastien
3 Litvinov, Alekseĭ Viktorovich
3 Mihalcea, Leonardo Constantin
3 Mimachi, Katsuhisa
3 Motegi, Kohei
3 Okun’kov, Andreĭ Yur’evich
3 Poulain D’Andecy, Loïc
3 Pusztai, Béla Gábor
...and 462 more Authors
all top 5

Cited in 129 Serials

45 Journal of High Energy Physics
42 Communications in Mathematical Physics
39 Nuclear Physics. B
36 Letters in Mathematical Physics
35 Advances in Mathematics
27 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
26 Theoretical and Mathematical Physics
19 Journal of Algebra
18 Journal of Statistical Mechanics: Theory and Experiment
18 Journal of Physics A: Mathematical and Theoretical
17 Journal of Mathematical Physics
17 Selecta Mathematica. New Series
13 Journal of Geometry and Physics
12 Duke Mathematical Journal
8 Transactions of the American Mathematical Society
8 Transformation Groups
6 Inventiones Mathematicae
6 Journal of Mathematical Sciences (New York)
6 St. Petersburg Mathematical Journal
6 Algebras and Representation Theory
6 Arnold Mathematical Journal
5 Reviews in Mathematical Physics
5 Mathematische Annalen
5 Proceedings of the London Mathematical Society. Third Series
5 Studies in Applied Mathematics
5 Advances in Applied Mathematics
4 Mathematical Notes
4 Illinois Journal of Mathematics
4 Journal of Combinatorial Theory. Series A
4 Proceedings of the American Mathematical Society
4 International Journal of Mathematics
4 Journal of the Institute of Mathematics of Jussieu
3 Physics Letters. A
3 Annales de l’Institut Fourier
3 Compositio Mathematica
3 Journal of Pure and Applied Algebra
3 Mathematische Zeitschrift
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Journal of the American Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Algebraic Combinatorics
3 Journal of Algebraic Geometry
3 Mathematical Physics, Analysis and Geometry
3 Annales Henri Poincaré
2 International Journal of Modern Physics A
2 Communications in Algebra
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Physics
2 Physics Letters. B
2 Acta Mathematica
2 Functional Analysis and its Applications
2 Journal of the London Mathematical Society. Second Series
2 Transactions of the Moscow Mathematical Society
2 Discrete & Computational Geometry
2 Linear Algebra and its Applications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 The New York Journal of Mathematics
2 Representation Theory
2 The Ramanujan Journal
2 Geometry & Topology
2 Communications in Contemporary Mathematics
2 Journal of Nonlinear Mathematical Physics
2 Computational Methods and Function Theory
2 Central European Journal of Mathematics
2 Journal of Topology
2 Mathematics
1 Modern Physics Letters A
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Mathematical Methods in the Applied Sciences
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Publications Mathématiques
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Results in Mathematics
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Acta Mathematicae Applicatae Sinica
1 Physica D
1 Probability Theory and Related Fields
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Formal Aspects of Computing
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 SUT Journal of Mathematics
1 Journal of Knot Theory and its Ramifications
1 Journal of Nonlinear Science
1 Applied Categorical Structures
1 Annales Mathématiques Blaise Pascal
1 Integral Transforms and Special Functions
1 Izvestiya: Mathematics
1 Séminaire Lotharingien de Combinatoire
...and 29 more Serials
all top 5

Cited in 47 Fields

252 Quantum theory (81-XX)
232 Nonassociative rings and algebras (17-XX)
149 Statistical mechanics, structure of matter (82-XX)
123 Algebraic geometry (14-XX)
76 Partial differential equations (35-XX)
68 Special functions (33-XX)
62 Associative rings and algebras (16-XX)
55 Dynamical systems and ergodic theory (37-XX)
48 Ordinary differential equations (34-XX)
42 Combinatorics (05-XX)
39 Group theory and generalizations (20-XX)
35 Differential geometry (53-XX)
31 Several complex variables and analytic spaces (32-XX)
26 Difference and functional equations (39-XX)
21 Topological groups, Lie groups (22-XX)
20 Global analysis, analysis on manifolds (58-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 \(K\)-theory (19-XX)
17 Algebraic topology (55-XX)
16 Functions of a complex variable (30-XX)
14 Number theory (11-XX)
12 Probability theory and stochastic processes (60-XX)
10 Manifolds and cell complexes (57-XX)
10 Mechanics of particles and systems (70-XX)
10 Relativity and gravitational theory (83-XX)
7 Category theory; homological algebra (18-XX)
7 Numerical analysis (65-XX)
6 Commutative algebra (13-XX)
5 Field theory and polynomials (12-XX)
5 Operator theory (47-XX)
3 General and overarching topics; collections (00-XX)
3 Geometry (51-XX)
2 Real functions (26-XX)
2 Potential theory (31-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Fluid mechanics (76-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year