Levin Andrei Mikhailovich

Publications in Math-Net.Ru

1. Integrable deformations of principal chiral model from solutions of associative Yang–Baxter equation
   
   Izv. RAN. Ser. Mat., 90:1 (2026),  112–148
2. 2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles
   
   Eur. Phys. J. C, Part. Fields, 82 (2022),  635–14
3. Generalizations of parabolic Higgs bundles, real structures, and integrability
   
   J. Math. Phys., 62:10 (2021), 103502, 28 pp.
4. Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations
   
   J. Math. Phys., 61 (2020), 103504, 9 pp.
5. Odd supersymmetrization of elliptic $R$-matrices
   
   J. Phys. A, 53:18 (2020), 185202, 16 pp.
6. Generalized Calogero and Toda models
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 109:2 (2019),  131–138
7. Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins
   
   J. Math. Phys., 59:10 (2018), 103509, 36 pp.
8. Calogero–Sutherland system with two types interacting spins
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 106:3 (2017),  173–174
9. Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation
   
   J. Phys. A, 49:39 (2016), 395202, 26 pp.
10. Yang–Baxter equations with two Planck constants
    
    J. Phys. A, 49:1 (2016), 14003, 19 pp.
11. Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations
    
    TMF, 188:2 (2016),  185–222
12. Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 101:9 (2015),  723–729
13. Quantum Baxter–Belavin $R$-matrices and multidimensional Lax pairs for Painlevé VI
    
    TMF, 184:1 (2015),  41–56
14. Planck constant as spectral parameter in integrable systems and KZB equations
    
    JHEP, 2014, no. 10, 109, 29 pp.
15. Relativistic classical integrable tops and quantum $R$-matrices
    
    JHEP, 2014, no. 7, 012, 39 pp.
16. Classical integrable systems and soliton equations related to eleven-vertex $R$-matrix
    
    Nuclear Phys. B, 887 (2014),  400–422
17. Classification of isomonodromy problems on elliptic curves
    
    Uspekhi Mat. Nauk, 69:1(415) (2014),  39–124
18. Characteristic classes of $\mathrm{SL}(N,\mathbb{C})$-bundles and quantum dynamical elliptic $R$-matrices
    
    J. Phys. A, 46:3 (2013), 35201, 25 pp.
19. Characteristic classes and Hitchin systems. General construction
    
    Comm. Math. Phys., 316:1 (2012),  1–44
20. Calogero–Moser systems for simple Lie groups and characteristic classes of bundles
    
    J. Geom. Phys., 62:8 (2012),  1810–1850
21. Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
    
    SIGMA, 8 (2012), 095, 37 pp.
22. Monopoles and Modifications of Bundles over Elliptic Curves
    
    SIGMA, 5 (2009), 065, 22 pp.
23. Quadratic algebras related to elliptic curves
    
    TMF, 156:2 (2008),  163–183
24. Integrable Model of Interacting Elliptic Tops
    
    TMF, 146:1 (2006),  55–64
25. Elliptic polylograrithms in $K$-theory
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 33 (2001),  113–126
26. Nonautonomous Hamiltonian systems related to higher Hitchin integrals
    
    TMF, 123:2 (2000),  237–263
27. Regularization of criterial problems of the method of least squares
    
    Zh. Vychisl. Mat. Mat. Fiz., 29:9 (1989),  1408–1413
28. Supersymmetric elliptic and modular functions
    
    Funktsional. Anal. i Prilozhen., 22:1 (1988),  71–72
29. Modification of Newton and the secant methods and their applications in regularizing algorithms
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:8 (1988),  1123–1134
30. Supersymmetric elliptic curves
    
    Funktsional. Anal. i Prilozhen., 21:3 (1987),  83–84
31. The stability of constructing minimizing sequences of functionals
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  483–489
32. Integration on $(1|1)$-dimensional supermanifolds
    
    Uspekhi Mat. Nauk, 41:3(249) (1986),  189–190
33. Calculation of the measure of incompatibility of operator equations of the first kind
    
    Zh. Vychisl. Mat. Mat. Fiz., 26:4 (1986),  499–507
34. Regularization of the calculation of lower bounds of functionals
    
    Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1123–1128