Research Areas

Primary Research Area:  Algebra Geometry/Topology

Additional Research Areas:  Applied Mathematics

Research Interests:  Mathematical physics, Low-dimensional topology, Representation theory


Educational Background

• 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) 

                                

Work Experience

• 1984–86 Junior Researcher, LOMI

• 1986–89 Senior Researcher, LOMI

• 1989–90Visiting Professor, Harvard University

• 1990–91 Assistant Professor, Harvard University

• 1991–93 Associate Professor, Department of Mathematics University of California at Berkeley

• 1993– Professor, University of California at Berkeley Office address: Department of mathematics, University of California, Berkeley, CA 94720-3840, USA                         

Invited professorships and awards

1989 Prize Fellow, Harvard University

1990 Visiting Professor, Laboratoire de Physique Theorique, Ecole Normale, Paris (June)

1992 Sloan Fellowship 1

1993 Visiting Professor, Ecole Normale de Lyon, Laboratoire de Physique Theorique (June 1993)

1993 Visiting Professor at the Institute for Theoretical Physics, Australian National University, Canberra (10/9–11/6/93)

1994 Distinguished Undergraduate Teaching Award, UCB

1995 Visiting Professor, Laboratoire de Physique Theorique, Ecole Normale Superieur de Lyon (June 1995)

• 1995 Miller Professor, University of California Berkeley

• 1996 Visiting Professor, Institut Henri Poincare (Nov.–Dec. 1996)

• 1997 Visiting Professor, Universit´e de Bourgogne (June 1997)

• 1998 Visiting Professor, Ludwig Maximilian University, Munich (July, August 1998)

• 1999 Visiting Professor, Universit´e de Bourgogne, June.

• 2002 Visiting Professor, Ecole Normale Superioure, Paris, FebruaryMay.

• 2002 Visiting Professor, Ecole Polytechnique, Paris, June-August.

• 2002 Visiting Professor, Sacley, Center for Nuclear Research, OctoberNovember.

• 2002 Visiting Professor, Univesite Paris VI, Jusieu, December.

• 2003 Visiting Professor at the University of Geneve.

• 2004 Visiting Professor at ITH.

• 1990–1993 Principal Investigator for National Science Foundation grant.

• 1994–1996 Principal Investigator for National Science Foundation grant.

• 1997–2000 Principal Investigator for National Science Foundation grant.

• 2000–2003 Principal Investigator for National Science Foundation grant. 2

• 2004–2006 Principal Investigator for National Science Foundation grant.

• 2004 Humboldt award.

• 2004-2009 Co-investigator of the NSF RTG grant ”Representation theory, Geometry and Combinatorics”

• 2006-2011 Awarded Niels Bohr visiting professorship at Aarhus University.

• 2006–2008 Principal Investigator for National Science Foundation grant.

• 2008 Visiting professor at the University of Amsterdam, Spring semester.

• 2008 Plenary speaker the European Mathematical Congress, July, Amsterdam.

• 2009-2011 Principal Investigator for National Science Foundation grant.

• 2010 N.R. is elected a foreign member of the Danish Royal Academy.

• 2010 N.R. is appointed the Chern-Simons chair in Mathematical Physics at Berkeley.

• 2010-2015 As a co-PI (with M. Haiman) N.R. is awarded an NSF Rersearch Training Group grant in Geometry, Combinatorics, and Representation Theory.

• 2010 Plenary speaker the International Mathematical Congress (Hyderabad, India, August).

• 2012-2014 Principal Investigator for National Science Foundation grant.

• 2015-2017 Principal Investigator for National Science Foundation grant.

• 2018-2021 Principal co-Investigator for National Science Foundation grant Focused Research Groups.

• 2019-2021 Principal Investigator for National Science Foundation grant.          

 

Publications

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.  

heory, Communications in Mathematical Physics, v. 374 (2020) n2, 1229-1320.