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Vaughan F. R. Jones

Vaughan F. R. Jones

D-Index & Metrics

Mathematics

D-Index
38
Citations
13099
World Ranking
2269
National Ranking
957

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

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