World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
50
Citations
9944
World Ranking
1083
National Ranking
37

Luc Vinet publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Luc Vinet sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 364 publications — 92nd percentile

92% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Luc Vinet D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Luc Vinet sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 50 D-Index — 71st percentile

71% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

  • Exact operator solution of the Calogero-Sutherland model

    Luc Lapointe;Luc Vinet

  • Group actions on principal bundles and invariance conditions for gauge fields

    J. Harnad;S. Shnider;Luc Vinet

  • Supersymmetry of the Pauli equation in the presence of a magnetic monopole

    Eric D'Hoker;Luc Vinet

  • Calogero-Moser- Sutherland Models

    Jan Felipe van Diejen;Luc Vinet

  • 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

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

    Roberto Floreanini;Vyacheslav P. Spiridonov;Luc Vinet

  • Lie group formalism for difference equations

    Decio Levi;L Vinet;P. Winternitz

  • Superintegrable systems: Polynomial algebras and quasi-exactly solvable Hamiltonians

    P. Letourneau;L. Vinet

  • Dunkl shift operators and Bannai–Ito polynomials

    Satoshi Tsujimoto;Luc Vinet;Alexei Zhedanov

  • q-Orthogonal polynomials and the oscillator quantum group

    Roberto Floreanini;Luc Vinet

  • More on the q-oscillator algebra and q-orthogonal polynomials

    R Floreanini;J LeTourneux;L Vinet

  • Quantum Algebras and q-Special Functions

    R. Floreanini;L. Vinet

  • 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

  • On the defining relations of quantum superalgebras

    Roberto Floreanini;Dimitry A. Leites;Luc Vinet

  • How to construct spin chains with perfect state transfer

    Luc Vinet;Alexei Zhedanov

  • Superintegrability in Two Dimensions and the Racah–Wilson Algebra

    Vincent X. Genest;Luc Vinet;Alexei Zhedanov

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

    Eric D'Hoker;Luc Vinet

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

    Roberto Floreanini;Luc Vinet

  • Lie symmetries of finite‐difference equations

    Roberto Floreanini;Luc Vinet

Frequent Co-Authors

Alexei Zhedanov
Alexei Zhedanov Euler International Mathematical Institute
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Vyacheslav P. Spiridonov
Vyacheslav P. Spiridonov Joint Institute for Nuclear Research
Mourad E. H. Ismail
Mourad E. H. Ismail University of Louisiana at Lafayette
John Harnad
John Harnad University of Montreal
Eric Ragoucy
Eric Ragoucy Centre national de la recherche scientifique, CNRS
Pavel Winternitz
Pavel Winternitz University of Montreal
Matthias Christandl
Matthias Christandl University of Copenhagen
Alexei Morozov
Alexei Morozov Moscow Institute of Physics and Technology
Jean-Marc Lina
Jean-Marc Lina École de Technologie Supérieure

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