Talalaev Dmitry Valer'evich

Publications in Math-Net.Ru

1. Modern theory of electrical networks: from matrix tree theorem to the theory of cluster varieties
   
   Uspekhi Mat. Nauk, 81:1(487) (2026),  3–70
2. Self-distributive algebras and bialgebras
   
   TMF, 224:1 (2025),  3–21
3. Hyperbolic stable polynomials and total positivity
   
   Mat. Zametki, 116:3 (2024),  477–481
4. $n$-valued quandles and associated bialgebras
   
   TMF, 220:1 (2024),  25–43
5. Full symmetric Toda system: solution via QR-decomposition
   
   Funktsional. Anal. i Prilozhen., 57:4 (2023),  100–122
6. Electrical networks, Lagrangian Grassmannians, and symplectic groups
   
   Mosc. Math. J., 23:2 (2023),  133–167
7. Extensions of Yang–Baxter sets
   
   TMF, 215:2 (2023),  176–189
8. Vertex electrical model: Lagrangian and nonnegativity properties
   
   TMF, 210:2 (2022),  250–258
9. Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation
   
   SIGMA, 17 (2021), 035, 30 pp.
10. Group extensions, fiber bundles, and a parametric Yang–Baxter equation
    
    TMF, 207:2 (2021),  310–318
11. Tutte polynomials of vertex-weighted graphs and group cohomology
    
    TMF, 207:2 (2021),  226–236
12. The Full Symmetric Toda Flow and Intersections of Bruhat Cells
    
    SIGMA, 16 (2020), 115, 8 pp.
13. Integrable 3D statistical models on six-valent graphs
    
    Trudy Mat. Inst. Steklova, 302 (2018),  214–233
14. Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of $2d$ Quantum Integrable Systems
    
    SIGMA, 13 (2017), 031, 14 pp.
15. Quantum generalized Toda system
    
    TMF, 171:2 (2012),  312–320
16. Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
    
    SIGMA, 5 (2009), 110, 22 pp.
17. Bethe ansatz and isomondromy deformations
    
    TMF, 159:2 (2009),  252–265
18. KZ equation, $G$-opers, quantum Drinfeld–Sokolov reduction, and quantum Cayley–Hamilton identity
    
    Zap. Nauchn. Sem. POMI, 360 (2008),  246–259
19. The Quantum Gaudin System
    
    Funktsional. Anal. i Prilozhen., 40:1 (2006),  86–91
20. Hitchin System on Singular Curves
    
    TMF, 140:2 (2004),  179–215
21. The Elliptic Gaudin System with Spin
    
    TMF, 130:3 (2002),  426–441


22. Tetrahedron equation: algebra, topology, and integrability
    
    Uspekhi Mat. Nauk, 76:4(460) (2021),  139–176