BIMSA > Nicolai Reshetikhin
Professor Nicolai Reshetikhin

Affiliation: BIMSA , YMSC

Group: Mathematical Physics

Office: A3-2-307

Email: nreshetikhin@bimsa.cn

Research Field: Quantum Field Theory, Representation Theory, Low-dimensional Topology

Webpage: https://ymsc.tsinghua.edu.cn/en/info/1031/1880.htm

Biography

Professor Nicolai Reshetikhin was born in Leningrad, former Soviet Union, now St. Petersburg, Russia. In 1982, he graduated from Leningrad State University with a bachelor's degree and a master's degree. In 1984, he graduated from the Steklov Institute of Mathematics and obtained a PhD degree. He has taught at well-known universities such as Harvard University, the University of California, Berkeley and the University of Amsterdam. He was invited twice to give a talk at the ICM International Conference of Mathematicians, one of which was a plenary talk. Professor Reshetikhin's main research interests include quantum topology, quantum groups and their representations, classical and quantum integrable systems, and integrable models statistical mechanics. He is one of the founders of quantum group theory, one of the authors of Reshetikhin-Turaev invariant, has important results in the theory of quantum integrable system, in Poisson and symplectic geometry, in the theory of quantum Kac Moody algebra. In 2010, he was elected as a Foreign member of the Royal Danish Academy. In 2021, he became a Fellow of the American Mathematical Society.

Research Interest

  • Representation theory, Quantum field theory, Integrable systems

Education Experience

  • 1982 - 1984      Leningrad Branch, Steklov Mathematical Institute (LOMI)      Doctor
  • 1979 - 1982      Leningrad University      Master,Bachelor
  • 1975 - 1979      Leningrad Polytechnic Institute      Bachelor

Work Experience

  • 2022 -      BIMSA
  • 2021 -      Tsinghua University      Professor
  • 1997 - 2021      University of California, Berkeley      Professor
  • 1991 - 1997      University of California, Berkeley      Associate Professor
  • 1989 - 1991      Harvard University      Assistant Professor
  • 1984 - 1989      Steklov Mathematical Institute      Research Fellow

Honors and Awards

  • 2022      Weyl-Wigner Award
  • 2010      "The Mathematics of Quantum Field Theory" plenary talk at the ICM-2010      Hyderabad, India, August 2010
  • 1990      45-minute talk, ICM1990, Kyoto Japan

Publication

  • [1] Christian Blanchet, Nathan Geer, Bertrand Patureau-Mirand, Nicolai Reshetikhin, Holonomy braidings, biquandles and quantum invariants of links with SL2(C) flat connections Selecta Math., v. 26 (2020), n 2.
  • [2] Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin, A cellular topolog- ical field theory, Communications in Mathematical Physics, v. 374 (2020) n2, 1229-1320.
  • [3] Keating D., Reshetikhin N., Sridhar A. Conformal limit for Dimer models on the hexagonal lattice, Journal of Mathematical Sciences volume 242, pages701714(2019)
  • [4] Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin, Perturbative quan- tum gauge theories on manifolds with boundary, Communications in Math-ematical Physics January 2018, Volume 357, Issue 2, pp 631730, arXiv:1507.01221.
  • [5] Nicolai Reshetikhin, Jasper Stokman, Bart Vlaar Integral solutions to bound- ary quantum Knizhnik-Zamolodchikov equations, Advances in Mathemat- ics Volume 323, 7 January 2018, Pages 486-528 arXiv:1602.08457.
  • [6] Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin, Poisson sigma model and semiclassical quantization of integrable systems, Reviews in Mathemat- ical Physics, Vol. 30, No. 06, 1840004 (2018)arXiv:1803.07723
  • [7] Nicolai Reshetikhin, Gus Schrader, Superintegrability of Generalized Toda Models on Symmetric Spaces, arXiv:1802.00356
  • [8] Reshetikhin, N., Degenerate integrability of quantum spin Calogero-Moser systems, Lett.Math.Phys. 107 (2017) no.1, 187200
  • [9] Nicolai Reshetikhin, Ananth Sridhar, Integrability of Limit Shapes of the Six Vertex Model, Communications in Mathematical Physics December 2017, Volume 356, Issue 2, pp 535565, arXiv:1510.01053.
  • [10] Reshetikhin N.Y., Stokman J.V., Vlaar B. Boundary Quantum Knizhnik- Zamolodchikov Equations and Fusion. Annales Henri Poincar January 2016, Volume 17, Issue 1, pp 137177, ArXiv:1404.5492.
  • [11] Reshetikhin, N. Degenerately Integrable Systems, J Math Sci (2016) 213: 769. doi:10.1007/s10958-016-2738-9.
  • [12] Nicolai, Reshetikhin; Jasper, Stokman; Bart, Vlaar, Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors, Communications in Mathematical Physics: Volume 336, Issue 2 (2015), Page 953-986; arXiv:1404.5492.
  • [13] Reshetikhin, Nicolai; Vertman, Boris; Combinatorial Quantum Field The- ory and Gluing Formula for Determinants. Lett. Math. Phys. 105 (2015), no. 3, 309340.
  • [14] Nicolai Reshetikhin, Ananth Sridhar, Limit Shapes of the Stochastic Six Vertex Model, accepted in Communications in Mathematical Physics, arXiv:1609.01756
  • [15] Nicolai Reshetikhin, Semiclassical geometry of integrable systems, Jour- nal of Physics A: Mathematical and Theoretical, Volume 51, Number 16, arXiv:1802.00416

 

Update Time: 2025-05-20 15:34:26