Mikhail A. Bershtein
Researcher Ph. D.
Email: |
Publications
- Mikhail Bershtein, Boris Feigin, Aleksandr Trufanov, Highest-weight vectors and three-point functions in GKO coset decomposition, arXiv:2404.14350, ADS: 2024arXiv240414350B, InSpire: 2779512.
- Mikhail Bershtein, Pavlo Gavrylenko, Andrei Marshakov, Mykola Semenyakin, Cluster Reductions, Mutations, and q-Painlevé Equations, arXiv:2411.00325, ADS: 2024arXiv241100325B, InSpire: 2845000.
- 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.
- 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.
- 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.
- 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.
- M. Bershtein, R. Gonin, Twisted Fock module of toroidal algebra via DAHA and vertex operators of Uq(sl2), arXiv:2109.12598, ADS: 2021arXiv210912598B.
- M. Bershtein, A. Shchechkin, Folding transformations for q-Painleve equations, arXiv:2110.15320, ADS: 2021arXiv211015320B.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- M.A. Bershtein, G. Merzon, Diagrammy Yunga, puti na reshyotke i metod otrazhenii, Matematicheskoe prosveshchenie, Ser.3, № 18, 112-141 (2014).
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.).
- 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).
- 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.
- 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.