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Vaughan F. R. Jones

Vaughan F. R. Jones

D-Index & Metrics

Mathematics

D-Index
38
Citations
13099
World Ranking
2270
National Ranking
958

Vaughan F. R. Jones 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 Vaughan F. R. Jones 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: 124 publications — 23rd percentile

23% of scientists in this discipline score the same or lower.

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

Vaughan F. R. Jones 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 Vaughan F. R. Jones 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: 38 D-Index — 37th percentile

37% 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

  • 2013 - Fellow of the American Mathematical Society
  • 1999 - Member of the National Academy of Sciences
  • 1993 - Fellow of the American Academy of Arts and Sciences
  • 1990 - Fields Medal of International Mathematical Union (IMU) For his discovery of an unexpected link between the mathematical study of knots – a field that dates back to the 19th century – and statistical mechanics, a form of mathematics used to study complex systems with large numbers of components.
  • 1986 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1983 - Fellow of Alfred P. Sloan Foundation

Overview

Vaughan F. R. Jones was a mathematician affiliated with Vanderbilt University in the United States. Their research spanned various areas within mathematics, with a focus on algebraic structures, operator algebras, and topology.

The scientist contributed extensively to fields of study including Mathematics, with notable work in the subfields of Mathematical Physics, Geometry and Topology, Applied Mathematics, Algebra and Number Theory, and Nuclear and High Energy Physics.

Their main topics of research included:

  • Advanced Operator Algebra Research
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Holomorphic and Operator Theory
  • Black Holes and Theoretical Physics
  • Geometric and Algebraic Topology
  • Finite Group Theory Research

Among the frequent coauthors were Jun Yang, Valeriano Aiello, Dietmar Bisch, Terry Gannon, and Yasuyuki Kawahigashi.

Jones published in several academic venues, including arXiv (Cornell University), New Zealand Journal of Mathematics, Journal of Functional Analysis, Progress in Mathematics, and L'Enseignement Mathématique.

Selected recent papers include:

  • Planar algebras, 2021, New Zealand journal of mathematics
  • Irreducibility of the Wysiwyg Representations of Thompson's Groups, 2021, Progress in mathematics
  • Bergman space zero sets, modular forms, von Neumann algebras and ordered groups, 2023, L'Enseignement Mathématique
  • Motzkin algebras and the An tensor categories of bimodules, 2021, International Journal of Mathematics

Jones received numerous professional recognitions including Fellowships at the American Mathematical Society, the American Academy of Arts and Sciences, the John Simon Guggenheim Memorial Foundation, and the Alfred P. Sloan Foundation. The scientist was also a Member of the National Academy of Sciences.

Among the awarded honors, Jones was a recipient of the Fields Medal from the International Mathematical Union in 1990, cited for discovering a connection between knot theory and statistical mechanics.

Best Publications

  • Index for subfactors

    V. F. R. Jones

  • A polynomial invariant for knots via von Neumann algebras

    Vaughan F. R. Jones

  • Hecke algebra representations of braid groups and link polynomials

    Vaughan Frederick Randal Jones

  • On knot invariants related to some statistical mechanical models

    Vaughan Jones

  • Introduction to subfactors

    Vaughan F. R. Jones;V. S. Sunder

  • Property T for von Neumann Algebras

    A. Connes;V. Jones

  • ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS

    Marc Rosso;Vaughan Jones

  • Planar algebras, I

    Vaughan F. R. Jones

  • Algebras associated to intermediate subfactors

    Vaughan Jones;Dietmar Bisch

  • A Polynomial Quantum Algorithm for Approximating the Jones Polynomial

    Dorit Aharonov;Vaughan Jones;Zeph Landau

  • The Planar Algebra of a bipartite graph

    Vaughan F. R. Jones

  • On a certain value of the Kauffman polynomial

    V. F. R. Jones

  • A polynomial quantum algorithm for approximating the Jones polynomial

    Dorit Aharonov;Vaughan Jones;Zeph Landau

  • The Annular Structure of Subfactors

    Vaughan F. R. Jones

  • Random matrices, free probability, planar algebras and subfactors

    A. Guionnet;V. F. R. Jones;D. Shlyakhtenko

  • The classification of subfactors of index at most 5

    Vaughan F R Jones;Scott Morrison;Noah Snyder

  • Subfactors and Knots

    Vaughan Jones

  • Singly generated planar algebras of small dimension

    Dietmar Bisch;Vaughan Jones

  • Graph invariants related to statistical mechanical models: examples and problems

    P. de la Harpe;V. F. R. Jones

  • Some unitary representations of Thompson’s groups $F$ and $T$

    Vaughan F. R. Jones

  • Von Neumann Algebras

    Vaughan F.R. Jones

Frequent Co-Authors

Alice Guionnet
Alice Guionnet École Normale Supérieure de Lyon
Dorit Aharonov
Dorit Aharonov Hebrew University of Jerusalem
Alain Connes
Alain Connes Collège de France
Mikael Rørdam
Mikael Rørdam University of Copenhagen
Sorin Popa
Sorin Popa University of California, Los Angeles
Paul Zinn-Justin
Paul Zinn-Justin University of Melbourne
Marston Conder
Marston Conder University of Auckland
Jozef H. Przytycki
Jozef H. Przytycki George Washington University

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