Tarasov Vitaly Olegovich

Publications in Math-Net.Ru

1. New Combinatorial Formulae for Nested Bethe Vectors
   
   SIGMA, 21 (2025), 060, 28 pp.
2. Polynomial structure in determinants for Izergin–Korepin partition function
   
   Zap. Nauchn. Sem. POMI, 520 (2023),  227–238
3. Duality for Knizhnik–Zamolodchikov and Dynamical Operators
   
   SIGMA, 16 (2020), 035, 10 pp.
4. Fuchsian Equations with Three Non-Apparent Singularities
   
   SIGMA, 14 (2018), 058, 12 pp.
5. Spherical quadrilaterals with three non-integer angles
   
   Zh. Mat. Fiz. Anal. Geom., 12:2 (2016),  134–167
6. Combinatorial Formulae for Nested Bethe Vectors
   
   SIGMA, 9 (2013), 048, 28 pp.
7. KZ characteristic variety as the zero set of classical Calogero–Moser Hamiltonians
   
   SIGMA, 8 (2012), 072, 11 pp.
8. Cohomology of a flag variety as a Bethe algebra
   
   Funktsional. Anal. i Prilozhen., 45:4 (2011),  16–31
9. 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
10. Higher Lamé equations and critical points of master functions
    
    Mosc. Math. J., 7:3 (2007),  533–542
11. Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel
    
    SIGMA, 3 (2007), 060, 31 pp.
12. 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
13. On Bethe vectors for the $XXZ$ model at roots of unity
    
    Zap. Nauchn. Sem. POMI, 291 (2002),  251–262
14. On solutions of Bethe equations for the $XXZ$ model
    
    Zap. Nauchn. Sem. POMI, 291 (2002),  245–250
15. Small elliptic quantum group $e_{\tau,\gamma}(\mathfrak{sl}_N)$
    
    Mosc. Math. J., 1:2 (2001),  243–286
16. Combinatorial Identities Related to Representations of $U_q(\widetilde{\mathfrak{gl}_2})$
    
    Trudy Mat. Inst. Steklova, 226 (1999),  152–162
17. Jackson integral representations for solutions of the Knizhnik–Zamolodchikov quantum equation
    
    Algebra i Analiz, 6:2 (1994),  90–137
18. On solutions to the twisted Yang–Baxter equation
    
    Zap. Nauchn. Sem. POMI, 215 (1994),  301–308
19. 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
20. Boundary-value problem for nonlinear Schrödinger equation
    
    TMF, 79:3 (1989),  334–346
21. Algebraic bethe ansatz for the Izergin–Korepin $R$ matrix
    
    TMF, 76:2 (1988),  184–198
22. The boundary value problem for the nonlinear Schrödinger equation
    
    Zap. Nauchn. Sem. LOMI, 169 (1988),  151–165
23. Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum Hamiltonians
    
    TMF, 63:2 (1985),  175–196
24. 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
25. Local Hamiltonians for integrable quantum models on a lattice. II
    
    TMF, 61:3 (1984),  387–392
26. Structure of quantum L operators for the R matrix of the XXZ model
    
    TMF, 61:2 (1984),  163–173
27. Local Hamiltonians for integrable quantum models on a lattice
    
    TMF, 57:2 (1983),  163–181
28. Classical version of the lattice sine-Gordon model
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  173–187