Nicolai Reshetikhin

Nicolai Reshetikhin's AcademicInfluence.com Rankings

Nicolai Reshetikhin

Mathematics

#701

World Rank

#1282

Historical Rank

Algebraic Geometry

#58

World Rank

#61

Historical Rank

Measure Theory

#1776

World Rank

#2176

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Nicolai Reshetikhin Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Nicolai Yuryevich Reshetikhin is a mathematical physicist, currently a professor of mathematics at Tsinghua University, China and a professor of mathematical physics at the University of Amsterdam . He is also a professor emeritus at the University of California, Berkeley. His research is in the fields of low-dimensional topology, representation theory, and quantum groups. His major contributions are in the theory of quantum integrable systems, in representation theory of quantum groups and in quantum topology. He and Vladimir Turaev constructed invariants of 3-manifolds which are expected to describe quantum Chern-Simons field theory introduced by Edward Witten.

(See a Problem?)

Nicolai Reshetikhin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Quantum Groups (1993) (4405)
Ribbon graphs and their invaraints derived from quantum groups (1990) (1126)
Quantization of Lie Groups and Lie Algebras (1987) (1069)
Quantum affine algebras and holonomic difference equations (1992) (614)
Multiparameter quantum groups and twisted quasitriangular Hopf algebras (1990) (468)
REPRESENTATIONS Of THE ALGEBRA Uq(sl(2)), q-ORTHOGONAL POLYNOMIALS AND INVARIANTS OF LINKS (1990) (402)
The q-characters of representations of quantum affine algebras and deformations of W-algebras (1998) (330)
Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrum (1987) (283)
q-Weyl group and a multiplicative formula for universalR-matrices (1990) (240)
The Bethe Ansatz and the combinatorics of Young tableaux (1988) (237)
Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras (1990) (214)
Hidden quantum group symmetry and integrable perturbations of conformal field theories (1990) (181)
Quasiclassical asymptotics of solutions to the KZ equations (1994) (163)
Random Skew Plane Partitions and the Pearcey Process (2005) (151)
Combinatorics, Bethe Ansatz, and representations of the symmetric group (1988) (142)
Integrable models of quantum one-dimensional magnets with O(n) and Sp(2k) symmetry (1985) (136)
Classical BV Theories on Manifolds with Boundary (2011) (131)
Deformations of W-algebras associated to simple Lie algebras (1997) (124)
Dimers on Surface Graphs and Spin Structures. I (2006) (114)
The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem (1992) (102)
Quantization of Lie bialgebras (1992) (87)
Dimers on Surface Graphs and Spin Structures. II (2007) (80)
Perturbative Quantum Gauge Theories on Manifolds with Boundary (2015) (80)
Exact solution of the Heisenberg XXZ model of spin s (1986) (79)
The Yangians, Bethe Ansatz and combinatorics (1986) (70)
Jackson-type integrals, bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system (1992) (69)
Quantization of the algebra of chord diagrams (1997) (68)
Numerical study of the 6-vertex model with domain wall boundary conditions (2005) (65)
Deformation Quantization of Kahler Manifolds (1999) (64)
The poisson structure on the moduli space of flat connections and chord diagrams (1996) (62)
Classical and quantum Lagrangian field theories with boundary (2012) (61)
Factorization Dynamics and Coxeter--Toda Lattices (1999) (61)
Hopf algebras with trace and representations (2003) (53)
Hamiltonian structures for integrable models of field theory (1983) (50)
S-matrices in integrable models of isotropic magnetic chains. I (1991) (49)
Lectures on the integrability of the 6-vertex model (2010) (48)
Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. II. Thermodynamics of the system (1987) (47)
Lattice regularization of massive and massless integrable field theories (1993) (41)
Excitation spectrum of the anisotropic generalization of an SU3 magnet (1983) (39)
Quasitriangularity of quantum groups at roots of 1 (1994) (35)
The 6-vertex model with fixed boundary conditions (2007) (34)
The Birth of a Random Matrix (2006) (30)
Affine Toda Field Theory as a 3-Dimensional Integrable System (1995) (28)
Degenerately Integrable Systems (2015) (27)
Limit Shapes of the Stochastic Six Vertex Model (2016) (26)
Random Skew Plane Partitions with a Piecewise Periodic Back Wall (2009) (25)
Integrability of Characteristic Hamiltonian Systems on Simple Lie Groups with Standard Poisson Lie Structure (2001) (24)
Integrability of Limit Shapes of the Six Vertex Model (2015) (23)
Lectures on Quantization of Gauge Systems (2010) (22)
Boundary Quantum Knizhnik–Zamolodchikov Equations and Bethe Vectors (2013) (22)
Semiquantum geometry (1996) (21)
A Cellular Topological Field Theory (2017) (19)
Symmetrically factorizable groups and self-theoretical solutions of the pentagon equation (2001) (16)
Semiclassical Quantization of Classical Field Theories (2013) (16)
Invariants of tangles with flat connections in their complements.I. Invariants and holonomy R-matrices (2002) (16)
Combinatorial Quantum Field Theory and Gluing Formula for Determinants (2014) (15)
Asymptotic Shapes with Free Boundaries (2009) (15)
Hamiltonian structures for integrable field theory models. II. Models with O(n) and Sp(2k) symmetry on a one-dimensional lattice (1985) (15)
Poisson Lie groups and Hamiltonian theory of the Yang-Baxter maps (2005) (14)
Holonomy braidings , biquandles and quantum invariants of links with SL 2 ( C ) flat connections (2018) (13)
Boundary Quantum Knizhnik–Zamolodchikov Equations and Fusion (2014) (12)
Folded quantum integrable models and deformed W-algebras (2021) (12)
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras (2018) (11)
Superintegrable Systems on Moduli Spaces of Flat Connections (2019) (10)
Quantum Deformations of SL n /B and its Schubert Varieties (1991) (10)
Perturbative BV theories with Segal-like gluing (2016) (9)
Formulas for multiplicities of occurence of irreducible components in the tensor product of representations of simple lie algebras (1996) (9)
Schur–Weyl-Type Duality for Quantized gl(1|1), the Burau Representation of Braid Groups, and Invariants of Tangled Graphs (2019) (9)
Finite-size effects and critical indices of 1D quantum models (1986) (8)
The two-point correlation function in the six-vertex model (2020) (8)
Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains (2020) (7)
Integral solutions to boundary quantum Knizhnik–Zamolodchikov equations (2016) (7)
Quantum Invariant Measures (2001) (7)
Characteristic systems on Poisson Lie groups and their quantization (2000) (6)
Deformation quantization of Lagrangian fiber bundles (1999) (6)
Reflection quantum Knizhnik-Zamolodchikov equations and Bethe vectors (2013) (5)
On domain wall boundary conditions for the XXZ spin Hamiltonian (2009) (5)
Geometry of the analytic loop group (2008) (4)
Classification of the string solutions of Bethe equations in an XXZ model of arbitrary spin (1988) (4)
Semiclassical geometry of integrable systems (2018) (4)
Braiding for the quantum gl_2 at roots of unity (2004) (3)
Deformation Quantization of Lagrangean Fiber Bundles (1999) (3)
Poisson Sigma Model and Semiclassical Quantization of Integrable Systems (2018) (3)
Topological quantum ﬁeld theory: 20 years later (2010) (3)
Properties of kernels of integral equations in XXZ models of arbitrary spin (1988) (2)
Holonomy braidings, biquandles and quantum invariants of links with $$\mathsf {SL} _2(\mathbb {C} )$$ flat connections (2020) (2)
On Invariants of Graphs Related to Quantum $${\mathfrak {sl}(2)}$$ at Roots of Unity (2009) (2)
ON INVARIANTS OF GRAPHS RELATED TO QUANTUM sl(2) AT ROOTS OF UNITY (2013) (2)
Spin Calogero-Moser periodic chains and two dimensional Yang-Mills theory with corners (2023) (2)
Recursion Formulas for HOMFLY and Kauffman Invariants (2014) (2)
Superintegrability of Generalized Toda Models on Symmetric Spaces (2018) (2)
Periodic and open classical spin Calogero-Moser chains (2023) (1)
Memories of Vaughan Jones (2021) (1)
The mathematical work of the 2006 fields medalists: the work of Andrei Okounkov (2007) (1)
QUANTUM INHOMOGENEOUS XXZ MAGNET AND NONLINEAR SIGMA MODELS (1986) (1)
Integrability of Limit Shapes of the Inhomogeneous Six Vertex Model (2020) (1)
The Ties That Bind: Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg (2020) (0)
Holonomy braidings, biquandles and quantum invariants of links with $SL_2(\mathbb C)$ flat connections (2018) (0)
275 Quantum Field Theory (0)
Quantization of the algebra of chord diagrams * B (0)
A Cellular Topological Field Theory (2020) (0)
The work of Andrei Okounkov (2007) (0)
Random Skew Plane Partitions with a Piecewise Periodic Back Wall (2011) (0)
Limit Shapes of the Stochastic Six Vertex Model (2018) (0)
Statistical Mechanics, Integrability and Combinatorics (2016) (0)
Quantum superintegrable spin systems on graph connections (2023) (0)
Combinatorial Quantum Field Theory and Gluing Formula for Determinants (2015) (0)
Boundary Quantum Knizhnik–Zamolodchikov Equations and Bethe Vectors (2014) (0)
Quantization of the algebra of chord diagrams AMS classification: 16S80, 14D20, 57M99, 58D27, 81R50. (Quantization of the algebra of chord diagrams) (1998) (0)
O ct 1 99 9 Factorization dynamics and Coxeter-Toda lattices ∗ (2008) (0)
L.D. Faddeev : (March 23, 1934 - February 26, 2017) (2017) (0)
Classical BV Theories on Manifolds with Boundary (2014) (0)
Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish (2017) (0)
Holonomy braidings, biquandles and quantum invariants of links with flat connections (2020) (0)
Asymptotic Shapes with Free Boundaries (2011) (0)
Boundary Quantum Knizhnik–Zamolodchikov Equations and Fusion (2015) (0)
Interfaces between Geometric Analysis and Mathematical Physics: July 2016, Scientific report (2016) (0)
Graphical calculus for quantum vertex operators, I: The dynamical fusion operator (2022) (0)
Perturbative Quantum Gauge Theories on Manifolds with Boundary (2017) (0)
UvA-DARE (Digital Academic Repository) On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras (2019) (0)
Preface: Introduction to special issue: In memory of Ludwig Faddeev (2018) (0)
Multiplicity of weights in irreducibile tensor representations of a complete linear superalgebra (1988) (0)
Some algebraic and analytic structures in integrable systems (1996) (0)
Degenerate integrability of quantum spin Calogero–Moser systems (2016) (0)
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras (2019) (0)
Integrability of Limit Shapes of the Six Vertex Model (2017) (0)
Communications in Mathematical Physics Dimers on Surface Graphs and Spin Structures (2006) (0)

This paper list is powered by the following services:

Other Resources About Nicolai Reshetikhin

What Schools Are Affiliated With Nicolai Reshetikhin?

Nicolai Reshetikhin is affiliated with the following schools:

Nicolai Reshetikhin's Academic­Influence.com Rankings

Why Is Nicolai Reshetikhin Influential?

Nicolai Reshetikhin's Published Works

Published Works

Other Resources About Nicolai Reshetikhin

What Schools Are Affiliated With Nicolai Reshetikhin?

Image Attributions

Nicolai Reshetikhin's AcademicInfluence.com Rankings