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Nicolai Reshetikhin

Nicolai Reshetikhin

D-Index & Metrics

Mathematics

D-Index
41
Citations
15166
World Ranking
1851
National Ranking
105

Overview

Nicolai Reshetikhin is affiliated with Tsinghua University in China. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with a significant focus on Geometry and Topology, Statistical and Nonlinear Physics, and Mathematical Physics. Subfields such as Atomic and Molecular Physics, and Optics, as well as Nuclear and High Energy Physics, also feature in their body of work.

The scientist's main topics of work include:

  • Algebraic structures and combinatorial models
  • Nonlinear Waves and Solitons
  • Advanced Algebra and Geometry
  • Quantum Mechanics and Non-Hermitian Physics
  • Advanced Topics in Algebra
  • Black Holes and Theoretical Physics
  • Homotopy and Cohomology in Algebraic Topology

Reshetikhin has an extensive publication record, with notable papers such as:

  • "A cellular topological field theory," published in 2020 in Wiardi Beckman Foundation (Wiardi Beckman Foundation)
  • "N-point spherical functions and asymptotic boundary KZB equations," published in 2022 in Inventiones mathematicae
  • "Holonomy braidings, biquandles and quantum invariants of links with ₂() flat connections," published in 2020 in Selecta Mathematica
  • "Spin Calogero-Moser models on symmetric spaces," published in 2021 in Proceedings of symposia in pure mathematics
  • "Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains," published in 2022 in Contemporary mathematics - American Mathematical Society

Frequent co-authors in Reshetikhin's work include:

  • Jasper V. Stokman
  • Babak Haghighat
  • Hadewijch De Clercq
  • Sergei Gukov
  • Olga Postnova

Reshetikhin publishes frequently in several venues, especially arXiv hosted by Cornell University, with 14 publications. Other venues with multiple publications include Communications in Mathematical Physics, Inventiones mathematicae, Notices of the American Mathematical Society, and Wiardi Beckman Foundation.

Best Publications

  • Invariants of 3-manifolds via link polynomials and quantum groups

    N. Reshetikhin;V. G. Turaev

  • Ribbon graphs and their invariants derived from quantum groups

    N. Yu. Reshetikhin;V. G. Turaev

  • Quantum affine algebras and holonomic difference equations

    I. B. Frenkel;N. Yu. Reshetikhin

  • Multiparameter quantum groups and twisted quasitriangular Hopf algebras

    N. Reshetikhin

  • REPRESENTATIONS Of THE ALGEBRA <font>U</font><sub><font>q</font></sub>(<font>sl</font>(2)), q-ORTHOGONAL POLYNOMIALS AND INVARIANTS OF LINKS

    Unknown

  • Hidden quantum group symmetry and integrable perturbations of conformal field theories

    N. Reshetikhin;F. Smirnov

  • Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrum

    Unknown

  • $q$-Weyl group and a multiplicative formula for universal $R$-matrices

    A. N. Kirillov;N. Reshetikhin

  • Random Skew Plane Partitions and the Pearcey Process

    Andrei Okounkov;Nicolai Reshetikhin

  • The q-characters of representations of quantum affine algebras and deformations of W-algebras

    Edward Frenkel;Nicolai Reshetikhin

  • Classical BV Theories on Manifolds with Boundary

    Alberto S. Cattaneo;Pavel Mnev;Nicolai Reshetikhin

  • Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras

    Unknown

  • The Bethe Ansatz and the combinatorics of Young tableaux

    Unknown

  • Deformations of W-algebras associated to simple Lie algebras

    Edward Frenkel;Nicolai Reshetikhin

  • Quasiclassical asymptotics of solutions to the KZ equations

    Nicolai Reshetikhin;Alexander Varchenko

  • The Knizhnik-Zamolodchikov system as a deformation of the Isomonodromy problem

    Nicolai Reshetikhin

  • Combinatorics, Bethe Ansatz, and representations of the symmetric group

    Unknown

  • Integrable models of quantum one-dimensional magnets with O(n) and Sp(2k) symmetry

    Unknown

  • Dimers on Surface Graphs and Spin Structures. II

    David Cimasoni;Nicolai Reshetikhin

  • The poisson structure on the moduli space of flat connections and chord diagrams

    Jørgen Ellegaard Andersen;Josef Mattes;Nicolai Reshetikhin

  • Jackson-type integrals, bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system

    N. Reshetikhin

  • Numerical study of the 6-vertex model with domain wall boundary conditions

    David Allison;Nicolai Reshetikhin

  • Drinfeld–Sokolov Reduction for Difference Operators and Deformations of -Algebras¶I. The Case of Virasoro Algebra

    E. Frenkel;N. Reshetikhin;M.A. Semenov-Tian-Shansky

  • Quantization of the algebra of chord diagrams

    Jørgen Ellegaard Andersen;Josef Mattes;Nicolai Reshetikhin

  • Perturbative Quantum Gauge Theories on Manifolds with Boundary

    Alberto Sergio Cattaneo;Pavel Mnev;Pavel Mnev;Pavel Mnev;Nicolai Reshetikhin;Nicolai Reshetikhin;Nicolai Reshetikhin

  • Hopf algebras with trace and representations

    C. De Concini;C. Procesi;N. Reshetikhin;M. Rosso

Frequent Co-Authors

Edward Frenkel
Edward Frenkel University of California, Berkeley
N. Kitanine
N. Kitanine University of Burgundy
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Andrei Okounkov
Andrei Okounkov Columbia University
Claudio Procesi
Claudio Procesi Sapienza University of Rome
Rafael I. Nepomechie
Rafael I. Nepomechie University of Miami
Vladimir Turaev
Vladimir Turaev Indiana University
David Evans
David Evans Yale University
Edward Witten
Edward Witten Institute for Advanced Study
Pavel A. Belov
Pavel A. Belov ITMO University

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