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Levin, Andrey M.

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Author ID: levin.andrey-m Recent zbMATH articles by "Levin, Andrey M."
Published as: Levin, A.; Levin, A. M.; Levin, Andrey; Levin, Andrey M.
Homepage: http://www.hse.ru/en/org/persons/23596915
External Links: Math-Net.Ru · ORCID
Documents Indexed: 37 Publications since 1987

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 256 times in 129 Documents Cited by Year
Hitchin systems – symplectic Hecke correspondence and two-dimensional version. Zbl 1088.14008
Levin, A. M.; Olshanetsky, M. A.; Zotov, A.
27
2003
Elliptic polylogarithms: An analytic theory. Zbl 0905.11028
Levin, Andrey
22
1997
The elliptic polylogarithm. Zbl 0817.14014
Beilinson, A.; Levin, A.
21
1994
Painlevé VI, rigid tops and reflection equation. Zbl 1116.37038
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
15
2006
Calogero-Moser systems for simple Lie groups and characteristic classes of bundles. Zbl 1261.37031
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
13
2012
Planck constant as spectral parameter in integrable systems and KZB equations. Zbl 1333.81014
Levin, A.; Olshanetsky, M.; Zotov, A.
13
2014
Characteristic classes and Hitchin systems. General construction. Zbl 1252.30029
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
12
2012
Characteristic classes of \(SL(N, \mathbb C)\)-bundles and quantum dynamical elliptic R-matrices. Zbl 1273.81117
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
11
2013
Hierarchies of isomonodromic deformations and Hitchin systems. Zbl 0938.37045
Levin, A. M.; Olshanetsky, M. A.
10
1999
Zagier’s conjecture on \(L(E,2)\). Zbl 1011.11043
Goncharov, A. B.; Levin, A. M.
9
1998
Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus. Zbl 1074.37032
Khesin, B.; Levin, A.; Olshanetsky, M.
8
2004
Classical integrable systems and soliton equations related to eleven-vertex \(R\)-matrix. Zbl 1325.82014
Levin, A.; Olshanetsky, M.; Zotov, A.
8
2014
Quadratic algebras related to elliptic curves. Zbl 1160.37023
Zotov, A. V.; Levin, A. M.; Olshanetsky, M. A.; Chernyakov, Yu. B.
7
2008
Elliptic Schlesinger system and Painlevé VI. Zbl 1115.34082
Chernyakov, Yu; Levin, A. M.; Olshanetsky, M.; Zotov, A.
7
2006
Integrable model of interacting elliptic tops. Zbl 1177.37061
Zotov, A. V.; Levin, A. M.
7
2006
Classification of isomonodromy problems on elliptic curves. Zbl 1297.14040
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
7
2014
Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI. Zbl 1327.81187
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
6
2015
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation. Zbl 1355.37075
Levin, A.; Olshanetsky, M.; Zotov, A.
6
2016
Cohomology of the complement to an elliptic arrangement. Zbl 1276.14081
Levin, Andrey; Varchenko, Alexander
5
2012
Hecke transformations of conformal blocks in WZW theory. I: KZB equations for non-trivial bundles. Zbl 1270.14018
Levin, Andrey M.; Olshanetsky, Mikhail A.; Smirnov, Andrey V.; Zotov, Andrei V.
5
2012
Double coset construction of moduli spaces of holomorphic bundles and Hitchin systems. Zbl 0892.32017
Levin, A.; Olshanetsky, M.
4
1997
Nonautonomous Hamiltonian systems related to higher Hitchin integrals. Zbl 0970.37044
Levin, A. M.; Olshanetsky, M. A.
4
2000
Multiple polylogarithms, polygons, trees and algebraic cycles. Zbl 1196.11095
Gangl, H.; Goncharov, A. B.; Levin, A.
4
2009
Yang-Baxter equations with two Planck constants. Zbl 1342.81207
Levin, A.; Olshanetsky, M.; Zotov, A.
4
2016
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins. Zbl 1408.53035
Kharchev, S.; Levin, A.; Olshanetsky, M.; Zotov, A.
4
2018
Topological polylogarithms and \(p\)-adic interpolation of \(L\)-values of totally real fields. Zbl 1448.11122
Beilinson, Alexander; Kings, Guido; Levin, Andrey
3
2018
Supersymmetric elliptic curves. Zbl 0643.14018
Levin, A. M.
3
1987
Supersymmetric elliptic and modular functions. Zbl 0666.14011
Levin, A. M.
3
1988
On rational and elliptic forms of Painlevé VI equation. Zbl 1130.14029
Levin, A.; Zotov, A.
2
2007
Monopoles and modifications of bundles over elliptic curves. Zbl 1187.14041
Levin, Andrey M.; Olshanetsky, Mikhail A.; Zotov, Andrei V.
2
2009
Elliptic polylogarithms in \(K\)-theory. Zbl 0865.19001
Levin, A. M.
1
1996
Polylogarithmic currents on abelian varieties. Zbl 1135.11325
Levin, Andrey
1
2000
Multiple logarithms, algebraic cycles and trees. Zbl 1196.11094
Gangl, H.; Goncharov, A. B.; Levin, A.
1
2007
Kronecker double series and the dilogarithm. Zbl 1161.11362
Levin, Andrey
1
2003
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins. Zbl 1408.53035
Kharchev, S.; Levin, A.; Olshanetsky, M.; Zotov, A.
4
2018
Topological polylogarithms and \(p\)-adic interpolation of \(L\)-values of totally real fields. Zbl 1448.11122
Beilinson, Alexander; Kings, Guido; Levin, Andrey
3
2018
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation. Zbl 1355.37075
Levin, A.; Olshanetsky, M.; Zotov, A.
6
2016
Yang-Baxter equations with two Planck constants. Zbl 1342.81207
Levin, A.; Olshanetsky, M.; Zotov, A.
4
2016
Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI. Zbl 1327.81187
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
6
2015
Planck constant as spectral parameter in integrable systems and KZB equations. Zbl 1333.81014
Levin, A.; Olshanetsky, M.; Zotov, A.
13
2014
Classical integrable systems and soliton equations related to eleven-vertex \(R\)-matrix. Zbl 1325.82014
Levin, A.; Olshanetsky, M.; Zotov, A.
8
2014
Classification of isomonodromy problems on elliptic curves. Zbl 1297.14040
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
7
2014
Characteristic classes of \(SL(N, \mathbb C)\)-bundles and quantum dynamical elliptic R-matrices. Zbl 1273.81117
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
11
2013
Calogero-Moser systems for simple Lie groups and characteristic classes of bundles. Zbl 1261.37031
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
13
2012
Characteristic classes and Hitchin systems. General construction. Zbl 1252.30029
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
12
2012
Cohomology of the complement to an elliptic arrangement. Zbl 1276.14081
Levin, Andrey; Varchenko, Alexander
5
2012
Hecke transformations of conformal blocks in WZW theory. I: KZB equations for non-trivial bundles. Zbl 1270.14018
Levin, Andrey M.; Olshanetsky, Mikhail A.; Smirnov, Andrey V.; Zotov, Andrei V.
5
2012
Multiple polylogarithms, polygons, trees and algebraic cycles. Zbl 1196.11095
Gangl, H.; Goncharov, A. B.; Levin, A.
4
2009
Monopoles and modifications of bundles over elliptic curves. Zbl 1187.14041
Levin, Andrey M.; Olshanetsky, Mikhail A.; Zotov, Andrei V.
2
2009
Quadratic algebras related to elliptic curves. Zbl 1160.37023
Zotov, A. V.; Levin, A. M.; Olshanetsky, M. A.; Chernyakov, Yu. B.
7
2008
On rational and elliptic forms of Painlevé VI equation. Zbl 1130.14029
Levin, A.; Zotov, A.
2
2007
Multiple logarithms, algebraic cycles and trees. Zbl 1196.11094
Gangl, H.; Goncharov, A. B.; Levin, A.
1
2007
Painlevé VI, rigid tops and reflection equation. Zbl 1116.37038
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
15
2006
Elliptic Schlesinger system and Painlevé VI. Zbl 1115.34082
Chernyakov, Yu; Levin, A. M.; Olshanetsky, M.; Zotov, A.
7
2006
Integrable model of interacting elliptic tops. Zbl 1177.37061
Zotov, A. V.; Levin, A. M.
7
2006
Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus. Zbl 1074.37032
Khesin, B.; Levin, A.; Olshanetsky, M.
8
2004
Hitchin systems – symplectic Hecke correspondence and two-dimensional version. Zbl 1088.14008
Levin, A. M.; Olshanetsky, M. A.; Zotov, A.
27
2003
Kronecker double series and the dilogarithm. Zbl 1161.11362
Levin, Andrey
1
2003
Nonautonomous Hamiltonian systems related to higher Hitchin integrals. Zbl 0970.37044
Levin, A. M.; Olshanetsky, M. A.
4
2000
Polylogarithmic currents on abelian varieties. Zbl 1135.11325
Levin, Andrey
1
2000
Hierarchies of isomonodromic deformations and Hitchin systems. Zbl 0938.37045
Levin, A. M.; Olshanetsky, M. A.
10
1999
Zagier’s conjecture on \(L(E,2)\). Zbl 1011.11043
Goncharov, A. B.; Levin, A. M.
9
1998
Elliptic polylogarithms: An analytic theory. Zbl 0905.11028
Levin, Andrey
22
1997
Double coset construction of moduli spaces of holomorphic bundles and Hitchin systems. Zbl 0892.32017
Levin, A.; Olshanetsky, M.
4
1997
Elliptic polylogarithms in \(K\)-theory. Zbl 0865.19001
Levin, A. M.
1
1996
The elliptic polylogarithm. Zbl 0817.14014
Beilinson, A.; Levin, A.
21
1994
Supersymmetric elliptic and modular functions. Zbl 0666.14011
Levin, A. M.
3
1988
Supersymmetric elliptic curves. Zbl 0643.14018
Levin, A. M.
3
1987
all top 5

Cited by 148 Authors

20 Zotov, Andrei V.
11 Levin, Andrey M.
10 Olshanetsky, Mikhail A.
5 Morozov, Alexei Yurievich
4 Aminov, G. A.
4 Bannai, Kenichi
4 Denham, Graham
4 Mironov, Andrei D.
4 Suciu, Alexander I.
4 Suleĭmanov, Bulat Irekovich
3 Arthamonov, Semeon
3 Brödel, Johannes
3 Grekov, A. M.
3 Matthes, Nils
3 Schlotterer, Oliver
3 Smirnov, Andrey V.
3 Zenkevich, Yegor
2 Adams, Luise
2 Bloch, Spencer J.
2 Bogner, Christian
2 Duhr, Claude
2 Fukuhara, Shinji
2 Gangl, Herbert
2 Gorskiĭ, Aleksandr Sergeevich
2 Hain, Richard M.
2 Kings, Guido
2 Kobayashi, Shinichi
2 Machide, Tomoya
2 Matsumoto, Makoto
2 Odesskii, Alexander
2 Pavlenko, Viktor Aleksandrovich
2 Runov, Boris A.
2 Sechin, Ivan
2 Sheĭnman, Oleg Karlovich
2 Strachan, Ian A. B.
2 Vanhove, Pierre
2 Weinzierl, Stefan
2 Yan, Zhaowen
2 Yuzvinsky, Sergey
1 Ablinger, Jakob
1 Artamonov, Dmitry V.
1 Asakura, Masanori
1 Baseilhac, Pascal
1 Ben-Zvi, David
1 Bergeron, Nicolas
1 Bibby, Christin
1 Blottière, David
1 Blümlein, Johannes
1 Bonelli, Giulio
1 Braden, Harry W.
1 Bulycheva, K. M.
1 Burns, David John
1 Cabo-Bizet, Alejandro
1 Chalykh, Oleg A.
1 Charollois, Pierre
1 Chen, Minru
1 Crampé, Nicolas
1 Cui, Jifeng
1 Dasgupta, Samit
1 De Freitas, Abilio
1 de Jeu, Rob
1 Del Monte, Fabrizio
1 D’Hoker, Eric
1 Dotsenko, E. I.
1 Duplij, Steven
1 Dupont, Clément
1 Elliott, Chris
1 Fairon, Maxime
1 Furusho, Hidekazu
1 Gaiffi, Giovanni
1 Gao, Bian
1 Garcia, Luis E.
1 Gavrylenko, Pavlo
1 Gegenhasi
1 Gesztesy, Fritz
1 Gómez Ayala, Eugenio Jesús
1 Goncharov, Alexander Borisovich
1 Green, Michael B.
1 Grossi, Giada
1 Guillera, Jesús
1 Hagihara, Kei
1 Huber-Klawitter, Annette
1 Hurtubise, Jacques C.
1 Imamoglu, Erdal
1 Jiménez Rolland, Rita
1 Kaderli, André
1 Kakde, Mahesh
1 Kato, Kazuya
1 Kerr, Matthew
1 Khesin, Boris A.
1 Korotkin, Dmitrii A.
1 Krasnov, T.
1 Kwok, Stephen Diwen
1 Lagarias, Jeffrey C.
1 Leitner, Marianne
1 Lemma, Francesco
1 Li, Wen-Ch’ing Winnie
1 Luo, Qiuming
1 Mafra, Carlos R.
1 Mata-Gutiérrez, Osbaldo
...and 48 more Authors
all top 5

Cited in 53 Serials

20 Theoretical and Mathematical Physics
11 Journal of High Energy Physics
7 Communications in Mathematical Physics
7 Journal of Mathematical Physics
6 Journal of Geometry and Physics
5 Letters in Mathematical Physics
5 Journal of Number Theory
4 Nuclear Physics. B
4 Selecta Mathematica. New Series
3 Advances in Mathematics
3 Duke Mathematical Journal
3 Proceedings of the American Mathematical Society
3 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Mathematische Zeitschrift
2 Constructive Approximation
2 Journal of Mathematical Sciences (New York)
2 Annales Henri Poincaré
2 International Journal of Number Theory
2 Journal of Physics A: Mathematical and Theoretical
2 Kyoto Journal of Mathematics
1 Bulletin of the Australian Mathematical Society
1 Nonlinearity
1 Physics Letters. B
1 Russian Mathematical Surveys
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Compositio Mathematica
1 Glasgow Mathematical Journal
1 Journal of Algebra
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Nagoya Mathematical Journal
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Transactions of the Moscow Mathematical Society
1 Acta Applicandae Mathematicae
1 Journal of the American Mathematical Society
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Algebraic Geometry
1 Documenta Mathematica
1 Annals of Mathematics. Second Series
1 Journal of Nonlinear Mathematical Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Journal of \(K\)-Theory
1 Japanese Journal of Mathematics. 3rd Series
1 Advances in Mathematical Physics
1 Forum of Mathematics, Sigma
1 Research in the Mathematical Sciences
1 Research in Number Theory

Citations by Year