2026 Luc Vinet: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	50	1083	923	37	32	364	9944

Research.com Recognitions

2018 - Fellow of the American Mathematical Society For contributions to mathematical physics and special functions, and for service to the mathematical community.
2018 - Fellow of the Royal Society of Canada Academy of Science
2012 - CAP-CRM Prize in Theoretical and Mathematical Physics, Canadian Association of Physicists and Centre de Recherches Mathématiques

Overview

Luc Vinet is affiliated with the University of Montreal in Canada and has a significant body of work spanning mathematics and physics. Their research contributions are notably positioned at the intersection of these fields, with a primary focus on mathematical physics.

The main fields of study for Luc Vinet include:

Mathematics
Physics and Astronomy

Their work further delves into specialized subfields such as:

Atomic and Molecular Physics, and Optics
Artificial Intelligence
Statistical and Nonlinear Physics
Geometry and Topology
Applied Mathematics

Luc Vinet has contributed to several research topics, including:

Algebraic structures and combinatorial models
Quantum Mechanics and Non-Hermitian Physics
Nonlinear Waves and Solitons
Mathematical functions and polynomials
Quantum many-body systems
Quantum Information and Cryptography
Advanced Algebra and Geometry

Their most frequent collaborators are:

Nicolas Crampé
Pierre-Antoine Bernard
Alexei Zhedanov
Meri Zaimi
Loïc Poulain d'Andecy

Luc Vinet has published extensively in venues such as:

arXiv (Cornell University)
Journal of Mathematical Physics
Nuclear Physics B
Discrete Mathematics
Journal of Physics A Mathematical and Theoretical

Some recent papers illustrate the scope and direction of their research work:

Entanglement of free fermions on Hamming graphs, 2022, Nuclear Physics B
Entanglement in fermionic chains and bispectrality, 2021, Reviews in Mathematical Physics
Entanglement of inhomogeneous free fermions on hyperplane lattices, 2022, Nuclear Physics B
Heun operator of Lie type and the modified algebraic Bethe ansatz, 2021, Journal of Mathematical Physics
Fractional revival and association schemes, 2020, Discrete Mathematics

Among their recognitions are the following awards:

Fellow of the American Mathematical Society (2018), for contributions to mathematical physics and special functions, and for service to the mathematical community
Fellow of the Royal Society of Canada (2018), Academy of Science
CAP-CRM Prize in Theoretical and Mathematical Physics from the Canadian Association of Physicists and Centre de Recherches Mathématiques (2012)

Best Publications

A 'missing' family of classical orthogonal polynomials

Luc Vinet;Alexei Zhedanov

1397
Citations
Exact operator solution of the Calogero-Sutherland model

Luc Lapointe;Luc Vinet

319
Citations
Group actions on principal bundles and invariance conditions for gauge fields

J. Harnad;S. Shnider;Luc Vinet

195
Citations
Supersymmetry of the Pauli equation in the presence of a magnetic monopole

Eric D'Hoker;Luc Vinet

176
Citations
Calogero-Moser- Sutherland Models

Jan Felipe van Diejen;Luc Vinet

176
Citations
The Dunkl oscillator in the plane I : superintegrability, separated wavefunctions and overlap coefficients

Vincent X Genest;Mourad E H Ismail;Mourad E H Ismail;Luc Vinet;Alexei Zhedanov

165
Citations
q-Oscillator realizations of the quantum superalgebras slq(m, n)andospq(m, 2n)

Roberto Floreanini;Vyacheslav P. Spiridonov;Luc Vinet

156
Citations
Lie group formalism for difference equations

Decio Levi;L Vinet;P. Winternitz

140
Citations
Superintegrable systems: Polynomial algebras and quasi-exactly solvable Hamiltonians

P. Letourneau;L. Vinet

137
Citations
Dunkl shift operators and Bannai–Ito polynomials

Satoshi Tsujimoto;Luc Vinet;Alexei Zhedanov

130
Citations
q-Orthogonal polynomials and the oscillator quantum group

Roberto Floreanini;Luc Vinet

115
Citations
More on the q-oscillator algebra and q-orthogonal polynomials

R Floreanini;J LeTourneux;L Vinet

115
Citations
Quantum Algebras and q-Special Functions

R. Floreanini;L. Vinet

112
Citations
The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra

Vincent X. Genest;Mourad E. H. Ismail;Mourad E. H. Ismail;Luc Vinet;Alexei Zhedanov

111
Citations
On the defining relations of quantum superalgebras

Roberto Floreanini;Dimitry A. Leites;Luc Vinet

110
Citations
How to construct spin chains with perfect state transfer

Luc Vinet;Alexei Zhedanov

103
Citations
Superintegrability in Two Dimensions and the Racah–Wilson Algebra

Vincent X. Genest;Luc Vinet;Alexei Zhedanov

102
Citations
Dynamical supersymmetry of the magnetic monopole and the $1/r^2$-potential

Eric D'Hoker;Luc Vinet

96
Citations
q-analogues of the parabose and parafermi oscillators and representations of quantum algebras

Roberto Floreanini;Luc Vinet

96
Citations
Lie symmetries of finite‐difference equations

Roberto Floreanini;Luc Vinet

88
Citations

Frequent Co-Authors

Alexei Zhedanov Renmin University of China

Shing-Tung Yau Tsinghua University

Vyacheslav P. Spiridonov Joint Institute for Nuclear Research

Mourad E. H. Ismail University of Louisiana at Lafayette

John Harnad University of Montreal

Eric Ragoucy Centre national de la recherche scientifique, CNRS

Pavel Winternitz University of Montreal

Matthias Christandl University of Copenhagen

Alexei Morozov Moscow Institute of Physics and Technology

Jean-Marc Lina École de Technologie Supérieure

External Links

Wikipedia of Luc Vinet Personal website of Luc Vinet Google Scholar page

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