Nicolai Reshetikhin - 清华大学 - 丘成桐数学科学中心

个人简介

教育背景 1979 A.B., Leningrad Polytechnical Institute 1982 B.S., Leningrad University 1982 M.A., Leningrad University 1984 Ph.D., Leningrad Branch, Steklov Mathematical Institute (LOMI) 工作经历 1989/07-1991/06 助理教授哈佛大学 2021/10至今教授清华大学数学科学中心荣誉与奖励 45-minute talk, ICM1990, Kyoto Japan The Mathematics of Quantum Field Theory" plenary talk at the ICM-2010 (Hyderabad, India, August 2010)

研究领域

My research interests lie at the interface of mathematical physics, geometry and representation theory, more specifically in quantum field theory, statistical mechanics, geometry and low-dimensional topology, and representation theory of quantum groups.

近期论文

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(a) Nicolai, Reshetikhin; Jasper, Stokman; Bart, Vlaar, Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors, Communications in Mathematical Physics ; Communications in Mathematical Physics: Volume 336, Issue 2 (2015), Page 953-986; arXiv:1404.5492. Reshetikhin, Nicolai; Vertman, Boris; Combinatorial Quantum Field The- ory and Gluing Formula for Determinants. Lett. Math. Phys. 105 (2015), no. 3, 309340. 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. Reshetikhin, N. Degenerately Integrable Systems, J Math Sci (2016) 213: 769. doi:10.1007/s10958-016-2738-9. Reshetikhin, N., Degenerate integrability of quantum spin Calogero-Moser systems, Lett.Math.Phys. 107 (2017) no.1, 187200 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. 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. Nicolai Reshetikhin, Ananth Sridhar, Limit Shapes of the Stochastic Six Vertex Model, accepted in Communications in Mathematical Physics, arXiv:1609.01756 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. Nicolai Reshetikhin, Semiclassical geometry of integrable systems, Jour- nal of Physics A: Mathematical and Theoretical, Volume 51, Number 16, arXiv:1802.00416 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 Nicolai Reshetikhin, Gus Schrader, Superintegrability of Generalized Toda Models on Symmetric Spaces, arXiv:1802.00356 Keating D., Reshetikhin N., Sridhar A. Conformal limit for Dimer models on the hexagonal lattice, Journal of Mathematical Sciences volume 242, pages701714(2019) 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. Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin, A cellular topolog- ical field theory, Communications in Mathematical Physics, v. 374 (2020) n2, 1229-1320.