BIMSA > 尼古拉·莱舍提金
教授 尼古拉·莱舍提金

单位: 北京雁栖湖应用数学研究院 , 清华丘成桐数学科学中心

团队: 数学物理

办公室: A3-2-307

邮箱: nreshetikhin@bimsa.cn

研究方向: 量子场论、表示论、低维拓扑

个人主页: https://ymsc.tsinghua.edu.cn/en/info/1031/1880.htm

个人简介

Nicolai Reshetikhin教授出生于前苏联列宁格勒，即现俄罗斯圣彼得堡。1982年，毕业于列宁格勒国立大学，获得学士学位与硕士学位。1984年，毕业于斯捷克洛夫数学研究所，获得博士学位。曾在哈佛大学、加州大学伯克利分校、阿姆斯特丹大学等知名大学任教。两次受邀在ICM国际数学家大会做报告，其中一次为大会报告。Reshetikhin教授的主要研究方向为量子拓扑，量子群及其表示，经典与量子可积系统，可积统计力学模型。他是量子群理论创始人之一、Reshetikhin-Turaev不变量的作者之一，在量子可积系统理论、泊松几何、辛几何、Quantum Kac-Moody代数有重要研究成果。2010年当选为皇家丹麦研究院外籍院士，2021年当选为美国数学会会士。

研究兴趣

  • Representation theory, Quantum field theory, Integrable systems

教育经历

  • 1982 - 1984      斯捷克洛夫数学研究所      博士
  • 1979 - 1982      列宁格勒大学      硕士,学士
  • 1975 - 1979      列宁格勒理工学院      学士

工作经历

  • 2022 -      北京雁栖湖应用数学研究院
  • 2021 -      清华大学      教授
  • 1997 - 2021      加州大学伯克利分校      教授
  • 1991 - 1997      加州大学伯克利分校      副教授
  • 1989 - 1991      哈佛大学      助理教授
  • 1984 - 1989      俄罗斯斯特克洛夫数学研究所      研究员

荣誉与奖项

  • 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

出版物

  • [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

 

更新时间: 2025-05-07 17:04:40