Mikhail Bershtein
- Research Fellow:Faculty of Mathematics / HSE – Skoltech International Laboratory of Representation Theory and Mathematical Physics
- Mikhail Bershtein has been at HSE University since 2014.
Education and Degrees
- 2011
Candidate of Sciences* (PhD)
- 2010
Doctoral programme
Landau Institute of Theoretical Physics of the Russian Academy of Sciences - 2007
Degree in Mathematician
Lomonosov Moscow State University, mechanics and mathematics
* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
Student Term / Thesis Papers
- Master
Y. Zhuravlov, Logarithmic Painleve tau Functions and Logarithmic Representations of the Virasoro Algebra. Faculty of Mathematics, 2018
R. Gonin, Twist Construction of Representation of the Q-analogue of the Virasoro Algebra. Faculty of Mathematics, 2017
A. Shchechkin, Painleve III Equation: Tau Functions, Representation Theory and q-deformations. Faculty of Mathematics, 2016
Grants
RFBR 15-32-20974_mol_a_ved Integrability in quanum field theory (participant)
RSCF 14-12-01383 Infinite dimensional symmetries and integrable structures in quantum field theory (participant)
Conferences
- 2020Representation Theory and Mathematical Physics Seminar (Беркли). Presentation: Twisted representations of toroidal gl_1
- 2015Международной конференции «Классические и квантовые интегрируемые системы» (Протвино). Presentation: « Билинейные уравнения Пенлеве на Тау-функции от ФТ »
Publications27
- Article Bershtein M., Gonin R. Twisted Representation of Algebra of q-Difference Operators, Twisted q-W Algebras and Conformal Blocks // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2020. Vol. 16. P. 077. doi
- Article Bershtein M., Gavrylenko P., Marshakov A. Cluster Toda Chains and Nekrasov Functions // Theoretical and Mathematical Physics. 2019. Vol. 198. No. 2. P. 157-188. doi
- Article Bershtein M., Tsymbaliuk A. Homomorphisms between different quantum toroidal and affine Yangian algebras // Journal of Pure and Applied Algebra. 2019. Vol. 223. No. 2. P. 867-899. doi
- Article Bershtein M., Shchechkin A. Painlevé equations from Nakajima–Yoshioka blowup relations // Letters in Mathematical Physics. 2019. Vol. 109. No. 11. P. 2359-2402. doi
- Article Bershtein M., Shchechkin A. Painlevé equations from Nakajima–Yoshioka blowup relations // Letters in Mathematical Physics. 2019. Vol. 109. No. 11. P. 2359-2402. doi
- Article Берштейн М. А., Гавриленко П. Г., Маршаков А. В. Кластерные цепочки Тоды и функции Некрасова // Теоретическая и математическая физика. 2019. Т. 198. № 2. С. 179-214. doi
- Preprint Bershtein M., Gavrylenko P., Marshakov A. Cluster Toda chains and Nekrasov functions / Cornell University. Series math "arxiv.org". 2018.
- Article Bershtein M., Gavrylenko P., Marshakov A. Cluster integrable systems, q-Painleve equations and their quantization // Journal of High Energy Physics. 2018. Vol. 2018. No. 2. P. 1-33. doi
- Preprint Bershtein M., Shchechkin A. Painlevé equations from Nakajima-Yoshioka blow-up relations / Cornell University. Series math "arxiv.org". 2018.
- Article Bershtein M., Feigin B. L., Merzon G. Plane partitions with a “pit”: generating functions and representation theory // Selecta Mathematica, New Series. 2018. Vol. 24. No. 1. P. 21-62. doi
- Article Bershtein M., Gavrylenko P., Marshakov A. Twist-field representations of W-algebras, exact conformal blocks and character identities // Journal of High Energy Physics. 2018. Vol. 08. No. 108. P. 1-54. doi
- Article Bershtein M., Shchechkin A. Bäcklund transformation of Painlevé III(D 8) τ function // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 11. P. 1-28. doi
- Article Bershtein M., Bonelli G., Ronzani M., Tanzini A. Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants // Journal of Geometry and Physics. 2017. Vol. 118. P. 40-50. doi
- Article Bershtein M., Shchechkin A. q-deformed Painlevé τ function and q-deformed conformal blocks // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 8. P. 1-20. doi
- Article Bershtein M., Feigin B. L., Litvinov A. Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations // Letters in Mathematical Physics. 2016. Vol. 106. No. 1. P. 29-56. doi
- Article Bershtein M., Bonelli G., Tanzini A., Ronzani M. Exact results for N=2 supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants // Journal of High Energy Physics. 2016. No. 723-39. doi
- Article M.A. Bershtein, A.I.Shchechkin. Bilinear equations on Painleve tau functions from CFT // Communications in Mathematical Physics. 2015. Vol. 339. No. 3. P. 1021-1061. doi (in press)
- Preprint Bershtein M., Tsymbaliuk A. Homomorphisms between different quantum toroidal and affine Yangian algebras / Cornell University. Series arxive "math". 2015. No. 1512.09109.
- Article M.Bershtein, Foda O. AGT, Burge pairs and minimal models // Journal of High Energy Physics. 2014. Vol. 06. No. 177 doi
- Article Берштейн М. А., Мерзон Г. А. Диаграммы Юнга, пути на решётке и метод отражений // Математическое просвещение. 2014. № 18. С. 112-141.
- Article Belavin A., Bershtein M., Tarnopolsky G. Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity // Journal of High Energy Physics. 2013. No. 3. P. 1-36.
- Article Belavin A., Bershtein M., Feigin B. L., Litvinov A., Tarnopolsky G. Instanton Moduli Spaces and Bases in Coset Conformal Field Theory // Communications in Mathematical Physics. 2012. P. 1-33. doi
- Article Bershtein M., Tarnopolsky G., Belavin A. A remark on the three approaches to 2D Quantum gravity // JETP Letters. 2011. Vol. 93. No. 2. P. 51-55.
- Article Bershtein M., Белавин А. А., Белавин В. А. Instantons and 2d Superconformal field theory // Journal of High Energy Physics. 2011. Vol. 9. No. 117
- Article Bershtein M., Литвинов А. В., Фатеев В. А. Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory // Nuclear Physics B. 2011. Vol. 847. No. 2. P. 413-459.
- Article Берштейн М. А., Алексеев О. В. Кольцо физических состояний в M(2,3) минимальной лиувиллевской гравитации // Теоретическая и математическая физика. 2010. Т. 164. № 1. С. 119-140.
- Article Khoroshkin A., Dotsenko V., Bershtein M. Quadratic algebras related to the bihamiltonian operad // International Mathematics Research Notices. 2007. Vol. 24. P. 1-30.
Young Researchers from HSE Receive Awards from the Moscow Government
Vladimir Podolskii, Head of HSE’s Big Data and Information Retrieval School, and Elena Vakulenko, Assistant Professor at the Department of Applied Economics, have both received awards for research in mathematics and labour studies, respectively.
