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- Vaughan F. R. Jones

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
11,443
95
World Ranking
2112
National Ranking
902

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

- Algebra
- Pure mathematics
- Mathematical analysis

His scientific interests lie mostly in Pure mathematics, Subfactor, Combinatorics, Planar algebra and Discrete mathematics. The concepts of his Pure mathematics study are interwoven with issues in Algebraic number and Algebra. The various areas that Vaughan F. R. Jones examines in his Subfactor study include Fibonacci number, Principal part, Haagerup property, Temperley–Lieb algebra and Coupling constant.

His Planar algebra research is multidisciplinary, relying on both Quotient, Bratteli diagram, Conditional expectation and Graph. His Edge-transitive graph and Foster graph study in the realm of Discrete mathematics interacts with subjects such as HOMFLY polynomial and Bracket polynomial. His Algebra representation research incorporates elements of Braid theory, Hecke algebra and Filtered algebra.

- Index for subfactors (1494 citations)
- A polynomial invariant for knots via von Neumann algebras (1407 citations)
- Hecke algebra representations of braid groups and link polynomials (1366 citations)

Vaughan F. R. Jones mostly deals with Pure mathematics, Planar algebra, Combinatorics, Subfactor and Algebra. His Pure mathematics research integrates issues from Knot theory and Haagerup property. His studies deal with areas such as Structure, Quadratic equation, Algebra over a field, Subalgebra and Temperley–Lieb algebra as well as Planar algebra.

His work is dedicated to discovering how Subfactor, Algebraic number are connected with Quantum field theory and other disciplines. His Braid group research is multidisciplinary, incorporating elements of Knot polynomial, Markov chain and Hecke algebra. His Voltage graph study in the realm of Discrete mathematics connects with subjects such as HOMFLY polynomial and Bracket polynomial.

- Pure mathematics (53.40%)
- Planar algebra (34.95%)
- Combinatorics (26.21%)

- Pure mathematics (53.40%)
- Planar algebra (34.95%)
- Hilbert space (6.80%)

His primary scientific interests are in Pure mathematics, Planar algebra, Hilbert space, Knot theory and Combinatorics. His research brings together the fields of Unitary representation and Pure mathematics. His Planar algebra study combines topics from a wide range of disciplines, such as Algebra representation, Jordan algebra, Differential graded algebra, Subalgebra and Subfactor.

He focuses mostly in the field of Subfactor, narrowing it down to matters related to Series and, in some cases, Quantum. His research integrates issues of Von Neumann architecture, Group representation and Braid group in his study of Knot theory. Vaughan F. R. Jones has researched Combinatorics in several fields, including Division algebra and Group.

- Random matrices, free probability, planar algebras and subfactors (73 citations)
- Some unitary representations of Thompson’s groups $F$ and $T$ (48 citations)
- A no-go theorem for the continuum limit of a periodic quantum spin chain (34 citations)

- Algebra
- Pure mathematics
- Mathematical analysis

Vaughan F. R. Jones mainly focuses on Planar algebra, Combinatorics, Group, Subfactor and Conformal field theory. Vaughan F. R. Jones combines subjects such as Subalgebra and Differential graded algebra with his study of Planar algebra. His Combinatorics study incorporates themes from Division algebra, Algebra representation, Jordan algebra, Cellular algebra and Filtered algebra.

His studies in Group integrate themes in fields like Topological quantum field theory, Polynomial and Series. Vaughan F. R. Jones works mostly in the field of Series, limiting it down to topics relating to Quantum and, in certain cases, Dimension, Scale and Transfer, as a part of the same area of interest. His Subfactor research entails a greater understanding of Pure mathematics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Index for subfactors

V. F. R. Jones.

Inventiones Mathematicae **(1983)**

2474 Citations

A polynomial invariant for knots via von Neumann algebras

Vaughan F. R. Jones.

Bulletin of the American Mathematical Society **(1985)**

2322 Citations

Hecke algebra representations of braid groups and link polynomials

Vaughan Frederick Randal Jones.

Annals of Mathematics **(1987)**

2239 Citations

On knot invariants related to some statistical mechanical models

Vaughan Jones.

Pacific Journal of Mathematics **(1989)**

500 Citations

Introduction to subfactors

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

**(1997)**

348 Citations

Property T for von Neumann Algebras

A. Connes;V. Jones.

Bulletin of The London Mathematical Society **(1985)**

347 Citations

Planar algebras, I

Vaughan F. R. Jones.

arXiv: Quantum Algebra **(1999)**

320 Citations

ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS

Marc Rosso;Vaughan Jones.

Journal of Knot Theory and Its Ramifications **(1993)**

311 Citations

Algebras associated to intermediate subfactors

Vaughan Jones;Dietmar Bisch.

Inventiones Mathematicae **(1997)**

272 Citations

On a certain value of the Kauffman polynomial

V. F. R. Jones.

Communications in Mathematical Physics **(1989)**

154 Citations

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