Mikhail Bershtein

Biography

Education 2007–2010 Graduate student, Landau Institute for theoretical physics; Independent University of Moscow. Ph.D. received June 2011. Thesis: Cohomology ring and correlation numbers in 2D Liouville gravity. Advisor: B.L. Feigin. 2002–2007 Independent University of Moscow. Advisor: B.L. Feigin. 2002–2007 Lomonosov Moscow State University. Graduated with honours. Advisor: E.B. Vinberg 2001–2002 Karazin Kharkov National University 1994–2001 Kharkov Physics and Mathematics Lyceum No 27 Employment 2011– Junior researcher, Landau Institute for theoretical physics. 2012– Researcher, Institute for Information Transmission Problems. 2014– Researcher International Laboratory of Representation Theory and Mathematical Physics, National Research University Higher School of Economics. 2014– Leading Research Scientist Scoltech Center for Advanced Studies Research interests Representation theory, Conformal field theory, Integrable Systems, Algebraic geometry. Publications 2016 M. Bershtein, A. Shchechkin Backlund transformation of Painlev´e III(D8) tau function, [arXiv:1608.02568]. 2016 M. Bershtein, A. Shchechkin q-deformed Painlev´e τ function and q-deformed conformal blocks, [arXiv:1608.02566]. 1 2016 M. Bershtein, G. Bonelli, M.Ronzani, A. Tanzini, Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants, [arXiv:1606.07148]. 2015 M. Bershtein, A. Tsymbaliuk Homomorphisms between different quantum toroidal and affine Yangian algebras., [arXiv:1512.09109]. 2015 M. Bershtein, B. Feigin, G. Merzon, Plane partitions with a ”pit”: generating functions and representation theory, [arXiv:1512.08779]. 2015 M. Bershtein, G. Bonelli, M.Ronzani, A. Tanzini, Exact results for N = 2 supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants, JHEP (2016) 2016:23 [arXiv:1509.00267]. 2014 M. Bershtein, A. Shchechkin, Bilinear equations on Painleve tau functions from CFT, Comm. Math. Phys. 339(3), 1021-1061 (2015) [arXiv:1406.3008]. 2014 M. Bershtein, O. Foda, AGT, Burge pairs and minimal models, JHEP 1406:177, (2014), [arXiv:1404.7075]. 2014 M. Bershtein, G. Merzon, Young diagrams, lattice paths and reflection method, Matematicheskoe prosveshenie Ser. 3, 18, 112-141 (2014). 2013 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]. 2012 A. Belavin, M. Bershtein, G. Tarnopolsky Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity, JHEP 1304:019, (2013), [arXiv:1211.2788]. 2011 A. Belavin, M. Bershtein, B. Feigin, A. Litvinov, G. Tarnopolsky Instanton moduli spaces and bases in coset conformal field theory. Comm. Math. Phys. 319 1, 269–301 (2013), [arXiv:1111.2803]. 2011 A. Belavin, V. Belavin, M. Bershtein, Instantons and 2d Superconformal field theory, JHEP 1109:117, (2011), [arXiv:1106.4001]. 2 2010 M. Bershtein, V. Fateev, A. Litvinov, Selberg integrals and threepoint correlation function in parafermionic Liouville field theory, Nuclear Physics B 84 413–459, (2011). [arXiv:1011.4090]. 2010 A. Belavin, M. Bershtein, G. Tarnopolsky, A remark on the three approaches to 2D Quantum gravity, JETP Lett. 93 (2), 47-51 (2011) [arXiv:1010.2222]. 2009 O. Alekseev M. 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]. 2006 M. Bershtein, V. Dotsenko, A. Khoroshkin, Quadratic algebras related to the bihamiltonian operad, Int Math Res Notices (2007) [arXiv:math/0607289]. Awards/Grants 2016 Young Russian Math Contest. 2015 Simons Foundation – IUM fellowship. 2015 Physics Foundation grant (www.physicsfoundation.org). 2012-2013 RFBR grant Instanton moduli spaces and representation theory 12-01-31236-mol a. 2009 Alexander Kuznetsov/Independent University of Moscow graduate student scholarship. 2007 Dobrushin scholarship. 2001/2002 Ukrainian president grant 2001 Gold medal at the International Mathematical Olympiad, Washington, D.C. 1997–2001 Grant of the Kharkov Fund for Young Talents Support. Conferences/schools/visits 2016 July Workshop on Classical and Quantum Integrable Systems, Saint Petersburg, Russia. 2016 June String-Math 2016 conference, Paris, France. 2016 June Visit of the SISSA (International School for Advanced Studies), Trieste, Italy. 2015 Aug. Workshop Quantum Geometry, Duality and Matrix Models, Moscow Russia. 3 2015 July Graduate Summer School Geometry of moduli spaces and representation theory, PCMI, Midway, USA. 2015 July Workshop on Classical and Quantum Integrable Systems, IHEP, Protvino, Russia. 2015 June-July Visit of the SISSA (International School for Advanced Studies), Trieste, Italy. 2015 June V School-Conference Lie algebras, algebraic groups and invariant theory, Samara, Russia. 2015 March Worksop Representation Theory, Special Functions and Painlev Equations RIMS, Kyoto, Japan. Workshop Integrable Systems and Representation Theory TUMSAT Tokyo, Japan. 2014 Oct. Program Gauge Theory, Integrability, and Novel Symmetries of Quantum Field Theory Simons Center for Geometry and Physics, Stony Brook, NY, USA. 2014 Sep. Visit of the SISSA (International School for Advanced Studies), Trieste, Italy. 2014 July Program RIMS Project 2014 Geometric Representation Theory, Kyoto, Japan. 2014 June-July WE-Heraeus Seminar Integrable Lattice Models and Quantum Field Theories, Bad Honnef, Germany. 2014 June Workshop Instanton Counting: Moduli Spaces, Representation Theory and Integrable Systems, Leiden, Netherlands. 2014 Jan. IV School-Conference Lie algebras, algebraic groups and invariant theory, MSU, Moscow, Russia. 2013 Oct. Visit of the New High Energy Theory Center, Rutgers University, New Brunswick, USA 2013 Oct. Program Quiver varieties Simons Center for Geometry and Physics, Stony Brook, NY, USA. 2013 Sep. Workshop Geometric Correspondences of Gauge Theories ICTP Trieste, Italy . 2013 Aug. Visit of the SISSA (International School for Advanced Studies), Trieste, Italy. 2012 Oct.-Nov. Program Integrability in Modern Theoretical and Mathematical Physics Simons Center for Geometry and Physics, Stony Brook, NY, USA. 4 2012 March Workshop on the AGT Conjecture, Bethe Forum, Bonn, Germany. 2012 Jan. Workshop Classical and Quantum Integrable Systems, JINR, Dubna, Russia. 2011 Sep. Conference Low dimensional physics and gauge principles, Nor Amberd, Armenia and Tbilisi, Georgia. 2011 Jan. II School-Conference Lie algebras, algebraic groups and invariant theory, MSU, Moscow, Russia. 2010 Jan. Conference Representation Theory and Quantization, FIM, ETH Zurich, Switzerland. 2009 Aug. Summer School Structures in Lie Representation Theory, Jacobs University, Bremen, Germany. 2009 June-July Conference Conformal Field Theory, Integrable Models and Liouville Gravity, Landau Institute, Chernogolovka, Russia. 2009 April Second International Conference on String Field Theory and Related Aspects, Steklov Mathematical Institute, Moscow, Russia. 2009 Jan. Russian–Japanese School of Young Mathematicians, Kyoto University, Japan. 2007 June-July NATO Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields, Mathematisches Institut, Gottingen, Germany. 2007, Jan.-Feb. Exchange program between IUM (Independent University of Moscow) and ENS Paris. 2002, 2003 Summer school Contemporary mathematics, Dubna Russia. Teaching and organizing experience 2015 School-conference of String theory, Representation theory and Integrable models. Member of the Organizing Committee. 2015 Workshop on Classical and Quantum Integrable Systems . Member of the Organizing Committee. 2013– Moscow Institute of Physics and Technology. Lecturer “Introduction to the group theory” 5 2007– Independent University of Moscow. Lecturer “Instanon moduli spaces” (2011), “Representation theory and Knizhnik–Zamolodchikov equations” (2015). Assistant teacher “Topology” (2007, 2011), “Algebra” (2008, 2009), “Introduction to the AGT correspondence” (2010, 2011). Tutor in Math in Moscow programm (2007-2010). 2002–2013 Summer Mathematical school for gifted school students, Kirov Russia, teacher. 2008–2013 Moscow school 1543, teacher for gifted school students. 2004, 2005, 2008, 2009, 2014 Moscow Mathematical olympiad, Head of one grade jury. 2003–2012 Kharkov Mathematical olympiad, member of jury.

Research Interest

Representation theory, conformal field theory, integrable systems, algebraic geometry, etc.