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Sir

Vaughan Jones

KNZM FRS FRSNZ FAA
Vaughan Jones p1190550.jpg
Jones in 2007
Born
Vaughan Frederick Randal Jones

(1952-12-31)31 December 1952
Gisborne, New Zealand
Died 6 September 2020(2020-09-06) (aged 67)
Nationality New Zealander
Alma mater University of Geneva
University of Auckland
Known for Jones polynomial
Aharonov–Jones–Landau algorithm
Spouse(s) Martha Myers
Awards Fields Medal (1990)
Scientific career
Fields Von Neumann algebras, knot polynomials, conformal field theory
Institutions University of California, Berkeley
Vanderbilt University
University of California, Los Angeles
University of Pennsylvania
Doctoral advisor André Haefliger

Sir Vaughan Frederick Randal Jones KNZM FRS FRSNZ FAA (31 December 1952 – 6 September 2020) was a New Zealand mathematician known for his work on von Neumann algebras and knot polynomials. He was awarded a Fields Medal in 1990.

Early life

Jones was born in Gisborne, New Zealand, on 31 December 1952. He was brought up in Cambridge, New Zealand, where he attended St Peter's School. He subsequently transferred to Auckland Grammar School after winning the Gillies Scholarship, and graduated in 1969 from Auckland Grammar. He went on to complete his undergraduate studies at the University of Auckland, obtaining a BSc in 1972 and an MSc in 1973. For his graduate studies, he went to Switzerland, where he completed his PhD at the University of Geneva in 1979. His thesis, titled Actions of finite groups on the hyperfinite II1 factor, was written under the supervision of André Haefliger, and won him the Vacheron Constantin Prize.

Career

Jones moved to the United States in 1980. There, he taught at the University of California, Los Angeles (1980–1981), and the University of Pennsylvania (1981–1985), before being appointed as professor of mathematics at the University of California, Berkeley. His work on knot polynomials, with the discovery of what is now called the Jones polynomial, was from an unexpected direction with origins in the theory of von Neumann algebras, an area of analysis already much developed by Alain Connes. It led to the solution of a number of classical problems of knot theory, to increased interest in low-dimensional topology, and the development of quantum topology.

Jones taught at Vanderbilt University as Stevenson Distinguished Professor of mathematics from 2011 until his death. He remained Professor Emeritus at University of California, Berkeley, where he had been on the faculty from 1985 to 2011 and was a Distinguished Alumni Professor at the University of Auckland.

Jones was made an honorary vice-president for life of the International Guild of Knot Tyers in 1992. The Jones Medal, created by the Royal Society of New Zealand in 2010, is named after him.

Personal life

Jones met his wife, Martha Myers, during a ski camp for foreign students while they were studying in Switzerland. She was there as a Fulbright scholar, and subsequently became an associate professor of medicine, health and society. Together, they have three children.

Jones died on 6 September 2020 at age 67 from health complications resulting from a severe ear infection.

Honours and awards

See also

Kids robot.svg In Spanish: Vaughan Jones para niños

  • Aharonov–Jones–Landau algorithm
  • Planar algebra
  • Subfactor
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