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
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.
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.
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.
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)
A polynomial invariant for knots via von Neumann algebras
Vaughan F. R. Jones.
Bulletin of the American Mathematical Society (1985)
Hecke algebra representations of braid groups and link polynomials
Vaughan Frederick Randal Jones.
Annals of Mathematics (1987)
On knot invariants related to some statistical mechanical models
Pacific Journal of Mathematics (1989)
Introduction to subfactors
Vaughan F. R. Jones;V. S. Sunder.
Property T for von Neumann Algebras
A. Connes;V. Jones.
Bulletin of The London Mathematical Society (1985)
Planar algebras, I
Vaughan F. R. Jones.
arXiv: Quantum Algebra (1999)
ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
Marc Rosso;Vaughan Jones.
Journal of Knot Theory and Its Ramifications (1993)
Algebras associated to intermediate subfactors
Vaughan Jones;Dietmar Bisch.
Inventiones Mathematicae (1997)
On a certain value of the Kauffman polynomial
V. F. R. Jones.
Communications in Mathematical Physics (1989)
If you think any of the details on this page are incorrect, let us know.
We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below: