Mathematician:Vaughan Frederick Randal Jones
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Mathematician
New Zealand mathematician known for his work on von Neumann algebras and knot polynomials.
Fields Medal
Vaughan Frederick Randal Jones was awarded a Fields Medal in $\text {1990}$ at the International Congress of Mathematicians in Kyoto, Japan:
- Jones discovered an astonishing relationship between von Neumann algebras and geometric topology. As a result, he found a new polynomial invariant for knots and links in 3-space.
Nationality
New Zealander
History
- Born: 31 December 1952 in Gisborne, New Zealand
- Died: 6 September 2020
Theorems and Definitions
Results named for Vaughan Frederick Randal Jones can be found here.
Definitions of concepts named for Vaughan Frederick Randal Jones can be found here.
Publications
- 1980: Actions of finite groups on the hyperfinite type $\text {II}_1$ factor (Mem. Am. Math. Soc. Vol. 28, no. 237)
- 1983: Index for subfactors (Invent. Math. Vol. 72, no. 1: pp. 1 – 25)
- 1985: A polynomial invariant for knots via von Neumann algebra (Bull. Amer. Math. Soc. Vol. 12: pp. 103 – 111)
- 1987: Hecke algebra representations of braid groups and link polynomials (Ann. Math. Vol. 126, no. 2: pp. 335 – 388) www.jstor.org/stable/1971403