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Levin, Andrei Mikhailovich
Doctor of physico-mathematical sciences (2020)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: , ,
Website: https://www.hse.ru/org/persons/23596915

https://www.mathnet.ru/eng/person20992
List of publications on Google Scholar
https://zbmath.org/authors/ai:levin.andrey-m
https://mathscinet.ams.org/mathscinet/MRAuthorID/188605
https://orcid.org/0000-0003-4871-3395
https://www.webofscience.com/wos/author/record/C-5664-2017
https://www.scopus.com/authid/detail.url?authorId=7403194458

Publications in Math-Net.Ru Citations
2022
1. A. Levin, M. Olshanetsky, A. Zotov, “2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles”, Eur. Phys. J. C, Part. Fields, 82 (2022),  635–14  mathnet 5
2021
2. A. Levin, M. Olshanetsky, A. Zotov, “Generalizations of parabolic Higgs bundles, real structures, and integrability”, J. Math. Phys., 62:10 (2021), 103502, 28 pp.  mathnet  isi  scopus 1
2020
3. A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations”, J. Math. Phys., 61 (2020), 103504, 9 pp.  mathnet  mathscinet  isi  scopus
4. A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetrization of elliptic $R$-matrices”, J. Phys. A, 53:18 (2020), 185202, 16 pp.  mathnet  mathscinet  isi  scopus 1
2019
5. Yu. Chernyakov, S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Generalized Calogero and Toda models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 109:2 (2019),  131–138  mathnet  elib; JETP Letters, 109:2 (2019), 136–143  isi  scopus
2018
6. S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins”, J. Math. Phys., 59:10 (2018), 103509, 36 pp.  mathnet  mathscinet  isi  scopus 11
2017
7. S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Calogero–Sutherland system with two types interacting spins”, Pis'ma v Zh. Èksper. Teoret. Fiz., 106:3 (2017),  173–174  mathnet  elib; JETP Letters, 106:3 (2017), 179–183  isi  scopus 6
2016
8. Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, J. Phys. A, 49:39 (2016), 395202, 26 pp.  mathnet  mathscinet  isi  elib  scopus 12
9. A. Levin, M. Olshanetsky, A. Zotov, “Yang–Baxter equations with two Planck constants”, J. Phys. A, 49:1 (2016), 14003, 19 pp.  mathnet  mathscinet  zmath  isi  scopus 7
10. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “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  mathnet  mathscinet  elib; Theoret. and Math. Phys., 188:2 (2016), 1121–1154  isi  elib  scopus
2015
11. G. Aminov, A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:9 (2015),  723–729  mathnet  elib; JETP Letters, 101:9 (2015), 648–655  isi  scopus
12. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Quantum Baxter–Belavin $R$-matrices and multidimensional Lax pairs for Painlevé VI”, TMF, 184:1 (2015),  41–56  mathnet  mathscinet  elib; Theoret. and Math. Phys., 184:1 (2015), 924–939  isi  elib  scopus 19
2014
13. A. Levin, M. Olshanetsky, A. Zotov, “Planck constant as spectral parameter in integrable systems and KZB equations”, JHEP, 2014, no. 10, 109, 29 pp.  mathnet  mathscinet  zmath  isi  elib  scopus 22
14. A. Levin, M. Olshanetsky, A. Zotov, “Relativistic classical integrable tops and quantum $R$-matrices”, JHEP, 2014, no. 7, 012, 39 pp.  mathnet  isi  scopus 30
15. A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and soliton equations related to eleven-vertex $R$-matrix”, Nuclear Phys. B, 887 (2014),  400–422  mathnet  mathscinet  zmath  isi  scopus 20
16. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Classification of isomonodromy problems on elliptic curves”, Uspekhi Mat. Nauk, 69:1(415) (2014),  39–124  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:1 (2014), 35–118  isi  elib  scopus 18
2013
17. A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes of $\mathrm{SL}(N,\mathbb{C})$-bundles and quantum dynamical elliptic $R$-matrices”, J. Phys. A, 46:3 (2013), 35201, 25 pp.  mathnet  mathscinet  zmath  isi  scopus 17
2012
18. A.  Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”, Comm. Math. Phys., 316:1 (2012),  1–44  mathnet  mathscinet  zmath  isi  scopus 18
19. A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Calogero–Moser systems for simple Lie groups and characteristic classes of bundles”, J. Geom. Phys., 62:8 (2012),  1810–1850  mathnet  mathscinet  zmath  isi  scopus 18
20. Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov, Andrei V. Zotov, “Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles”, SIGMA, 8 (2012), 095, 37 pp.  mathnet  mathscinet  isi  scopus 10
2009
21. Andrey M. Levin, Mikhail A. Olshanetsky, Andrei V. Zotov, “Monopoles and Modifications of Bundles over Elliptic Curves”, SIGMA, 5 (2009), 065, 22 pp.  mathnet  mathscinet  isi  scopus 9
2008
22. A. V. Zotov, A. M. Levin, M. A. Olshanetsky, Yu. B. Chernyakov, “Quadratic algebras related to elliptic curves”, TMF, 156:2 (2008),  163–183  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 156:2 (2008), 1103–1122  isi  scopus 16
2006
23. A. V. Zotov, A. M. Levin, “Integrable Model of Interacting Elliptic Tops”, TMF, 146:1 (2006),  55–64  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 146:1 (2006), 45–52  isi  scopus 21
2001
24. A. M. Levin, “Elliptic polylograrithms in $K$-theory”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 33 (2001),  113–126  mathnet  mathscinet  zmath; J. Math. Sci., 81:3 (1996), 2657–2666 1
2000
25. A. M. Levin, M. A. Olshanetsky, “Nonautonomous Hamiltonian systems related to higher Hitchin integrals”, TMF, 123:2 (2000),  237–263  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 123:2 (2000), 609–632  isi 3
1989
26. A. M. Levin, “Regularization of criterial problems of the method of least squares”, Zh. Vychisl. Mat. Mat. Fiz., 29:9 (1989),  1408–1413  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:5 (1989), 105–110
1988
27. A. M. Levin, “Supersymmetric elliptic and modular functions”, Funktsional. Anal. i Prilozhen., 22:1 (1988),  71–72  mathnet  mathscinet  zmath; Funct. Anal. Appl., 22:1 (1988), 60–61  isi 7
28. A. M. Levin, “Modification of Newton and the secant methods and their applications in regularizing algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 28:8 (1988),  1123–1134  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 107–114 3
1987
29. A. M. Levin, “Supersymmetric elliptic curves”, Funktsional. Anal. i Prilozhen., 21:3 (1987),  83–84  mathnet  mathscinet  zmath; Funct. Anal. Appl., 21:3 (1987), 243–244  isi 10
30. A. M. Levin, “The stability of constructing minimizing sequences of functionals”, Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  483–489  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 106–110 1
1986
31. A. M. Levin, “Integration on $(1|1)$-dimensional supermanifolds”, Uspekhi Mat. Nauk, 41:3(249) (1986),  189–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:3 (1986), 217–218  isi 3
32. A. M. Levin, “Calculation of the measure of incompatibility of operator equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 26:4 (1986),  499–507  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:2 (1986), 108–113 4
1984
33. A. M. Levin, “Regularization of the calculation of lower bounds of functionals”, Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1123–1128  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 98–101 6

Presentations in Math-Net.Ru
1. Триальность, эйзенштейновы числа и странная редукция
A. M. Levin
Conference "Remembering Yuri Ivanovich Manin"
February 16, 2023 12:00   
2. Elliptic polylogarithms. General Theory and Applications
A. M. Levin
Automorphic forms and their applications
October 1, 2019 18:00   
3. Knizhnik-Zamolodchikov-Bernard equation
A. M. Levin
Automorphic forms and their applications
June 18, 2019 18:00   
4. Knizhnik–Zamolodchikov equation
A. M. Levin
Automorphic forms and their applications
June 11, 2019 18:00   
5. $R$-matrix and Cauchy kernel
A. Levin
International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday
December 11, 2018 15:30   
6. Higgs theory and Arakelov geometry
Andrey Levin
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin
October 26, 2018 12:20   
7. Topological polylogarithms
A. M. Levin
Automorphic forms and their applications
October 9, 2018 18:00
8. The Siegel-Klingen theorem
A. M. Levin
Automorphic forms and their applications
October 2, 2018 18:00   
9. Дилогарифм в современной математике
A. M. Levin
Automorphic forms and their applications
October 25, 2016 18:00   
10. Cauchy modular kernels
A. M. Levin
Automorphic forms and their applications
November 24, 2015 18:30   
11. Алгебра-1. Лекция 3
A. M. Levin

September 24, 2014 17:30   
12. Алгебра. Семестр 1. Лекция 2
A. M. Levin

September 17, 2014 19:20   
13. Алгебра. Семестр 1. Лекция 1
A. M. Levin

September 9, 2014 17:30   
14. Zeta Values of Imaginary Quadratic Fields and Dilogarithms
A. M. Levin
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
May 29, 2013 17:30
15. Кратные эллиптические полилогарифмы. Общая теория и приложения
Andrei Levin
Seminar by Algebra Department
October 11, 2011 15:00
16. О когомологиях конфигурационного пространства точек на эллиптической кривой
A. M. Levin
Weekly seminar of Laboratory of algebraic geometry
February 11, 2011 17:00
17. Characteristic classes and Higgs bundles
M. A. Olshanetsky, A. M. Levin
International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin
February 26, 2010 10:30   
18. О рациональности значений абелевых $L$-функций в отрицательных целых. Дифференциально-геометрический подход
A. M. Levin
Seminar by Algebra Department
December 12, 2006
19. Нильпотентные связности на эллиптической кривой и модулярные аналоги кратных дзета-значений
A. M. Levin
Seminar by Algebra Department
April 11, 2006
20. Фундаментальная алгебра Хопфа категории пучков Ходжа–Тейта
A. M. Levin
Seminar by Algebra Department
November 15, 2005
21. Алгебраические циклы, деревья и многоугольники
A. M. Levin
A. Bondal Seminar
October 27, 2005

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