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Tarasov, Vitaly Olegovich
Statistics Math-Net.Ru
Total publications: 27
Scientific articles: 27
Presentations: 1

Number of views:
This page:1988
Abstract pages:8580
Full texts:2830
References:975
Candidate of physico-mathematical sciences (1985)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 04.12.1959
E-mail: ,
Keywords: integrable systems; affine Lie algebras; quantum groups; Yang-Baxter equation; exactly solvable models; Knizhnik–Zamolodchikov equation; q-hypergeometric functions.

Subject:

A classification of finite-dimensional irreducible representations of the Yangian $Y(gl_2)$ has been obtained. In several papers (joint with A. N. Varchenko, as well as G. Felder and Ya. Markov) $q$-hypergeometric solutions of the difference Knizhnik–Zamolodchikov equations has been studied. In a few joint papers with M. L. Nazarov we studied finite-dimensional irreducible representations of the Yangians $Y(gl_N)$ and Gelfand–Zetlin bases of these representations.

Biography

Graduated from Physics Department, Leningrad University in mathematical physics in 1982. Ph.D — 1985, Leningrad Branch of V. A. Steklov Mathematical Institute.
   
Main publications:
  • V. Tarasov. The integrable initial-boundary value problem on a semiline: nonlinear Schroedinger and sine-Gordon equations // Inverse problems, 1991, 7(3), 435–450.
  • V. Tarasov, A. Varchenko. Completeness of Bethe vectors and difference equations with regular singular points // Int. Math. Res. Not. 1995, 13, 637–669.
  • V. Tarasov, A. Varchenko. Geometry of $q$-hypergeometric functions, quantum affine algebras and elliptic quantum groups // Asterisque, 1997, 246, 1–135.
  • M. Nazarov, V. Tarasov. Representations of Yangians with Gelfand–Zetlin bases // J. Reine Angew. Math., 1998, 496, 181–212.

https://www.mathnet.ru/eng/person17607
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/191119

Publications in Math-Net.Ru Citations
2023
1. A. G. Pronko, V. O. Tarasov, “Polynomial structure in determinants for Izergin–Korepin partition function”, Zap. Nauchn. Sem. POMI, 520 (2023),  227–238  mathnet
2020
2. Vitaly Tarasov, Filipp Uvarov, “Duality for Knizhnik–Zamolodchikov and Dynamical Operators”, SIGMA, 16 (2020), 035, 10 pp.  mathnet  isi  scopus 3
2018
3. Alexandre Eremenko, Vitaly Tarasov, “Fuchsian Equations with Three Non-Apparent Singularities”, SIGMA, 14 (2018), 058, 12 pp.  mathnet  isi  scopus 8
2016
4. A. Eremenko, A. Gabrielov, V. Tarasov, “Spherical quadrilaterals with three non-integer angles”, Zh. Mat. Fiz. Anal. Geom., 12:2 (2016),  134–167  mathnet  mathscinet  isi  elib 9
2013
5. Vitaly Tarasov, Alexander Varchenko, “Combinatorial Formulae for Nested Bethe Vectors”, SIGMA, 9 (2013), 048, 28 pp.  mathnet  mathscinet  isi  scopus 26
2012
6. Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko, “KZ characteristic variety as the zero set of classical Calogero–Moser Hamiltonians”, SIGMA, 8 (2012), 072, 11 pp.  mathnet  mathscinet  isi  scopus 22
2011
7. A. N. Varchenko, R. Rimányi, V. O. Tarasov, V. V. Schechtman, “Cohomology of a flag variety as a Bethe algebra”, Funktsional. Anal. i Prilozhen., 45:4 (2011),  16–31  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 45:4 (2011), 252–264  isi  elib  scopus 6
2010
8. E. Mukhin, V. Tarasov, A. Varchenko, “Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $\frak{gl}_N$”, Algebra i Analiz, 22:3 (2010),  177–190  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:3 (2011), 463–472  isi  scopus 24
2007
9. E. E. Mukhin, V. O. Tarasov, A. N. Varchenko, “Higher Lamé equations and critical points of master functions”, Mosc. Math. J., 7:3 (2007),  533–542  mathnet  mathscinet  zmath  isi 3
10. Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko, “Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel”, SIGMA, 3 (2007), 060, 31 pp.  mathnet  mathscinet  zmath  isi  scopus 17
11. E. E. Mukhin, V. Schechtman, V. O. Tarasov, A. N. Varchenko, “On a New Form of Bethe Ansatz Equations and Separation of Variables in the $\mathfrak{sl}_3$ Gaudin model”, Trudy Mat. Inst. Steklova, 258 (2007),  162–184  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 258 (2007), 155–177  elib  scopus 2
2002
12. V. O. Tarasov, “On Bethe vectors for the $XXZ$ model at roots of unity”, Zap. Nauchn. Sem. POMI, 291 (2002),  251–262  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 125:2 (2005), 242–248 7
13. V. O. Tarasov, “On solutions of Bethe equations for the $XXZ$ model”, Zap. Nauchn. Sem. POMI, 291 (2002),  245–250  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 125:2 (2005), 239–241
2001
14. V. O. Tarasov, A. N. Varchenko, “Small elliptic quantum group $e_{\tau,\gamma}(\mathfrak{sl}_N)$”, Mosc. Math. J., 1:2 (2001),  243–286  mathnet  mathscinet  zmath  isi 9
1999
15. V. O. Tarasov, “Combinatorial Identities Related to Representations of $U_q(\widetilde{\mathfrak{gl}_2})$”, Trudy Mat. Inst. Steklova, 226 (1999),  152–162  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 226 (1999), 138–148 1
1994
16. A. N. Varchenko, V. O. Tarasov, “Jackson integral representations for solutions of the Knizhnik–Zamolodchikov quantum equation”, Algebra i Analiz, 6:2 (1994),  90–137  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:2 (1995), 275–313 39
17. V. O. Tarasov, “On solutions to the twisted Yang–Baxter equation”, Zap. Nauchn. Sem. POMI, 215 (1994),  301–308  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 85:1 (1997), 1752–1757
1991
18. R. F. Bikbaev, V. O. Tarasov, “An inhomogeneous boundary value problem on the semi-axis and on a segment for the sine-Gordon equation”, Algebra i Analiz, 3:4 (1991),  78–92  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:4 (1992), 775–789 13
1989
19. P. N. Bibikov, V. O. Tarasov, “Boundary-value problem for nonlinear Schrödinger equation”, TMF, 79:3 (1989),  334–346  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 79:3 (1989), 570–579  isi 21
1988
20. V. O. Tarasov, “Algebraic bethe ansatz for the Izergin–Korepin $R$ matrix”, TMF, 76:2 (1988),  184–198  mathnet  mathscinet; Theoret. and Math. Phys., 76:2 (1988), 793–803  isi 64
21. V. O. Tarasov, “The boundary value problem for the nonlinear Schrödinger equation”, Zap. Nauchn. Sem. LOMI, 169 (1988),  151–165  mathnet  zmath 1
1985
22. V. O. Tarasov, “Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum Hamiltonians”, TMF, 63:2 (1985),  175–196  mathnet  mathscinet; Theoret. and Math. Phys., 63:2 (1985), 440–454  isi 76
1984
23. V. O. Tarasov, “Irreducible monodromy matrices for the $R$-matrix of the $XXZ$-model, and lattice local quantum Hamiltonians”, Dokl. Akad. Nauk SSSR, 278:5 (1984),  1102–1105  mathnet  mathscinet
24. V. O. Tarasov, “Local Hamiltonians for integrable quantum models on a lattice. II”, TMF, 61:3 (1984),  387–392  mathnet  mathscinet; Theoret. and Math. Phys., 61:3 (1984), 1211–1215  isi 6
25. V. O. Tarasov, “Structure of quantum L operators for the R matrix of the XXZ model”, TMF, 61:2 (1984),  163–173  mathnet  mathscinet; Theoret. and Math. Phys., 61:2 (1984), 1065–1072  isi 33
1983
26. V. O. Tarasov, L. A. Takhtadzhyan, L. D. Faddeev, “Local Hamiltonians for integrable quantum models on a lattice”, TMF, 57:2 (1983),  163–181  mathnet  mathscinet; Theoret. and Math. Phys., 57:2 (1983), 1059–1073  isi 138
1982
27. V. O. Tarasov, “Classical version of the lattice sine-Gordon model”, Zap. Nauchn. Sem. LOMI, 120 (1982),  173–187  mathnet  mathscinet 3

Presentations in Math-Net.Ru
1. Wronski map and positive Grassmannians
V. O. Tarasov
Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev
May 30, 2024 16:30   

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