Russian Academy of Sciences

Landau Institute for Theoretical Physics

Mikhail A. Bershtein

Researcher

Ph. D.

Email:
Skype: mbersht

Publications

    1. Mikhail Bershtein, Boris Feigin, Aleksandr Trufanov, Highest-weight vectors and three-point functions in GKO coset decomposition, arXiv:2404.14350, ADS: 2024arXiv240414350B, InSpire: 2779512.
    2. Mikhail Bershtein, Pavlo Gavrylenko, Andrei Marshakov, Mykola Semenyakin, Cluster Reductions, Mutations, and q-Painlevé Equations, arXiv:2411.00325, ADS: 2024arXiv241100325B, InSpire: 2845000.
    3. M. Bershtein, A. Grigorev, A. Shchechkin, Hamiltonian reductions in Matrix Painlevé systems, Lett. Math. Phys. 113(2), 47 (2023) (51 pp.); arXiv:2208.04824, WoS: 000973666900001, ADS: 2023LMaPh.113...47B, RINTs: 61471002, MathSciNet: 4576398, zbMath: 07693491, EDN: XKQFBC.
    4. M. Bershtein, P. Gavrylenko, A. Grassi, Quantum spectral problems and isomonodromic deformations, Commun. Math. Phys., 393(1), 347-418 (2022); arXiv:2105.00985, Scopus: 2-s2.0-85131325229, ADS: 2022CMaPh.393..347B, InSpire: 1861707, RINTs: 49149198, MathSciNet: 4440693, zbMath: 07545284, EDN: CYJEEL.
    5. M. Bershtein, A. Vargulevich, NSR singular vectors from Uglov polynomials, J. Math. Phys. 63, 061706 (2022); arXiv:2202.11810, Scopus: 2-s2.0-85133655773, ADS: 2022JMP....63f1706B, InSpire: 2037705, MathSciNet: 4440645.
    6. M. Bershtein, R. Gonin, Twisted and non-twisted deformed Virasoro algebras via vertex operators of Uq(sl2), Lett. Math. Phys. 111(1), art. 22 (2021); arXiv:2003.12472, WoS: 000619405800001, Scopus: 2-s2.0-85101291004, ADS: 2021LMaPh.111...22B, RINTs: 46752507, MathSciNet: 4218362, zbMath: 07345386.
    7. M. Bershtein, R. Gonin, Twisted Fock module of toroidal algebra via DAHA and vertex operators of Uq(sl2), arXiv:2109.12598, ADS: 2021arXiv210912598B.
    8. M. Bershtein, A. Shchechkin, Folding transformations for q-Painleve equations, arXiv:2110.15320, ADS: 2021arXiv211015320B.
    9. M. Bershtein, R. Gonin, Twisted representations of algebra of q-difference operators, twisted q-W algebras and conformal blocks, SIGMA 16, 077 (2020); arXiv:1906.00600, WoS: 000559966200001, Scopus: 2-s2.0-85090517837, ADS: 2020SIGMA..16..077B, RINTs: 45339696, MathSciNet: 4134812, zbMath: 1460.17035.
    10. M. Bershtein, A. Tsymbaliuk, Homomorphisms between different quantum toroidal and affine Yangian algebras, J. Pure and Appl. Algebra, 223(2), 867-899 (2019); arXiv:1512.09109, WoS: 000447084000024, Scopus: 2-s2.0-85048070569, ADS: 2015arXiv151209109B, InSpire: 1737704, RINTs: 35734467, MathSciNet: 3850574, zbMath: 1460.17019.
    11. M. Bershtein, A. Shchechkin, Painlevé equations from Nakajima-Yoshioka blowup relations, Lett. Math. Phys., 109(11), 2359-2402 (2019); arXiv:1811.04050, WoS: 000490945600001, Scopus: 2-s2.0-85070260644, ADS: 2019LMaPh.109.2359B, InSpire: 1702977, RINTs: 41623824, MathSciNet: 4019992, zbMath: 1428.81127.
    12. M.A. Bershtein, P.G. Gavrilenko, A.V. Marshakov, Klasternye tsepochki Tody i funktsii Nekrasova, TMF, 198(2), 179-214 (2019) [M. Bershtein, P. Gavrylenko, A. Marshakov, Cluster Toda chains and Nekrasov functions, Theoret. Math. Phys., 198(2), 157-188 (2019)]; arXiv:1804.10145, WoS: 000464906900001, Scopus: 2-s2.0-85065230970, ADS: 2019TMP...198..157B, InSpire: 1670606, RINTs: 37089980, MathSciNet: 3920450, zbMath: 1421.81083.
    13. M. Bershtein, P. Gavrylenko, A. Marshakov, Cluster integrable systems, q-Painlevé equations and their quantization, J. High Energy Phys., 1802, 077 (2018); arXiv:1711.02063, WoS: 000425381600003, Scopus: 2-s2.0-85042229252, ADS: 2018JHEP...02..077B, InSpire: 1634657, RINTs: 35516241, MathSciNet: 3789593, zbMath: 1387.83078.
    14. M. Bershtein, P. Gavrylenko, A. Marshakov, Twist-field representations of W-algebras, exact conformal blocks and character identities, J. High Energy Phys., 1808, 108 (2018); arXiv:1705.00957, WoS: 000442301400003, Scopus: 2-s2.0-85052200150, ADS: 2018JHEP...08..108B, InSpire: 1597594, RINTs: 35759807, MathSciNet: 3861214, zbMath: 1396.81164.
    15. M. Bershtein, B. Feigin, G. Merzon, Plane partitions with a “pit”: generating functions and representation theory, Sel. Math. New Ser., 24(1), 21-62 (2018); arXiv:1512.08779, WoS: 000426469100003, Scopus: 2-s2.0-85042745675, ADS: 2015arXiv151208779B, RINTs: 35508016, MathSciNet: 3769725, zbMath: 1430.17044.
    16. M. Bershtein, G. Bonelli, M. Ronzani, A. Tanzini, Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants, J. Geom. Phys., 118, 40-50 (2017); arXiv:1606.07148, WoS: 000404303100004, Scopus: 2-s2.0-85011016324, ADS: 2017JGP...118...40B, InSpire: 1471862, RINTs: 31016546, MathSciNet: 3660903, zbMath: 1371.53089.
    17. M.A. Bershtein, A.I. Shchechkin, Q-deformed Painlevé τ function and q-deformed conformal blocks, J. Phys. A 50, 085202 (2017); arXiv:1608.02566, WoS: 000394610200001, Scopus: 2-s2.0-85011279038, ADS: 2017JPhA...50h5202B, InSpire: 1479992, RINTs: 29476057, MathSciNet: 3609062, zbMath: 1360.81264.
    18. M.A. Bershtein, A.I. Shchechkin, Bäcklund transformation of Painlevé III(D8) τ function, J. Phys. A 50, 115205 (2017); arXiv:1608.02568, WoS: 000395792000002, Scopus: 2-s2.0-85014315285, ADS: 2017JPhA...50k5205B, InSpire: 1479993, RINTs: 29487789, MathSciNet: 3622582, zbMath: 1396.33038.
    19. M. Bershtein, G. Bonelli, M. Ronzani, A. Tanzini, Exact results for N=2 supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants, J. High Energy Phys. 1607, 023 (2016); arXiv:1509.00267, WoS: 000379308600001, Scopus: 2-s2.0-84978086031, ADS: 2016JHEP...07..023B, InSpire: 1391361, RINTs: 27016012, MathSciNet: 3547299, zbMath: 1390.81302.
    20. M. Bershtein, B. Feigin, A. Litvinov, Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations, Lett. Math. Phys., 106(1), 29-56 (2016); arXiv:1310.7281, WoS: 000367610700002, Scopus: 2-s2.0-84944705189, ADS: 2016LMaPh.106...29B, InSpire: 1262366, RINTs: 26828450, MathSciNet: 3437987, zbMath: 1395.17058.
    21. M.A. Bershtein, A.I. Shchechkin, Bilinear equations on Painlevé τ functions from CFT, Commun. Math. Phys. 339(3), 1021-1061 (2015); arXiv:1406.3008, WoS: 000360090500007, Scopus: 2-s2.0-84939650694, ADS: 2015CMaPh.339.1021B, InSpire: 1300180, RINTs: 24524880, MathSciNet: 3385990, zbMath: 1332.34141.
    22. M. Bershtein, O. Foda, AGT, Burge pairs and minimal models, J. High Energy Phys., 1406, 177 (2014); arXiv:1404.7075, WoS: 000339109200001, Scopus: 2-s2.0-84904439848, ADS: 2014JHEP...06..177B, InSpire: 1292840, RINTs: 24938600, MathSciNet: 3234249, zbMath: 1333.81362.
    23. M.A. Bershtein, G. Merzon, Diagrammy Yunga, puti na reshyotke i metod otrazhenii, Matematicheskoe prosveshchenie, Ser.3, № 18, 112-141 (2014).
    24. A.A. Belavin, M.A. Bershtein, B.L. Feigin, A.V. Litvinov, G.M. Tarnopolsky, Instanton moduli spaces and bases in coset conformal field theory, Commun. Math. Phys., 319(1), 269-301 (2013); arXiv:1111.2803, WoS: 000316490100007, Scopus: 2-s2.0-84868216610, ADS: 2013CMaPh.319..269B, InSpire: 945528, RINTs: 28673976, MathSciNet: 3034031, zbMath: 1263.81252.
    25. A.A. Belavin, M.A. Bershtein, G.M. Tarnopolsky, Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity, J. High Energy Phys., 1303, 019 (2013); arXiv:1211.2788, WoS: 000317521200019, Scopus: 2-s2.0-84876268456, ADS: 2013JHEP...03..019B, InSpire: 1202334, RINTs: 24948759, MathSciNet: 3046746, zbMath: 1342.81173, EDN: UZYUMN.
    26. A. Belavin, V. Belavin, M. Bershtein, Instantons and 2d superconformal field theory, J. High Energy Phys., 1109, 117 (2011); arXiv:1106.4001, WoS: 000296086700026, Scopus: 2-s2.0-84990008615, ADS: 2011JHEP...09..117B, InSpire: 914245, RINTs: 31015991, MathSciNet: 2889839, zbMath: 1301.81102, EDN: XMWCUO.
    27. M.A. Bershtein, V.A. Fateev, A.V. Litvinov, Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory, Nucl. Phys. B 847(2), 413-459 (2011); arXiv:1011.4090, WoS: 000290781400007, Scopus: 2-s2.0-79952187541, ADS: 2011NuPhB.847..413B, InSpire: 878158, RINTs: 16997446, MathSciNet: 2774982, zbMath: 1208.81177.
    28. A. Belavin, M. Bershtein, G. Tarnopolsky, A remark on the three approaches to 2D quantum gravity, Pis’ma v ZhETF, 93 (2), 51-55 (2011) [JETP Lett., 93(2), 47-51 (2011)]; arXiv:1010.2222, WoS: 000288864500001, Scopus: 2-s2.0-79953139922, ADS: 2011JETPL..93...47B, InSpire: 872499, RINTs: 15633666.
    29. A.A. Avilov, A.V. Akopyan, V.B. Alekseev, V.D. Arnol’d, A.G. Bannikova, A.V. Begunts, M.A. Bershtein, i dr., LXXIV Moskovskaya matematicheskaya olimpiada. Zadachi, resheniya, statistika, Moskva, izdatel’stvo MTsNMO, 2011, 55 str. (3.5 pech. l.).
    30. M.O. Bershtein, O.O. Bershtein, M.S. Boiko, S.Yu. Іgnatovich, V.P. Kalashnik, A.V. Lisakevich, L.Yu. Polyakova, O.S. Shcherbina, T.S. Shcherbina, Kharkіvs’ka oblasna olіmpіada yunikh matematikіv 2010-2011 navchal’nogo roku, U svіtі matematiki, 17 (2), 41-55 (2011).
    31. O.V. Alekseev, M.A. Bershtein, Kol’tso fizicheskikh sostoyanii v M(2,3) minimal’noi liuvillevskoi gravitatsii, TMF, 164(1), 119-140 (2010) [O.V. Alekseev, M.A. Bershtein, The ring of physical states in the M(2, 3) minimal Liouville gravity, Theor. Math. Phys., 164(1), 929-946 (2010)]; arXiv:0906.1377, WoS: 000280650600008, Scopus: 2-s2.0-77955283820, ADS: 2010TMP...164..929A, InSpire: 822449, RINTs: 15334790, zbMath: 1254.81077.
    32. M. Bershtein, V. Dotsenko, A. Khoroshkin, Quadratic Algebras Related to the Bi-Hamiltonian Operad, Int. Math. Res. Notices, 2007, rnm122 (2007); math/0607289, WoS: 000206288300115, Scopus: 2-s2.0-70449103636, ADS: 2006math......7289B, RINTs: 15292387, MathSciNet: 2377009, zbMath: 1149.18003.