Record

RefNoEC/1990/19
LevelItem
TitleJones, Vaughan Frederick Randal: certificate of election to the Royal Society
Date1989
DescriptionCitation typed
CitationHis work is characterized by a beautiful interplay between algebra, analysis, topology, and mathematical physics. His first work was a complete classification of the action of finite groups on von Neumann algebras of type II. He went on to define an "index" for a subfactor of a II1 factor, and found its possible values, most strikingly the unsuspected discrete series 4 cos2pi/n. This work has profoundly changed the perspective of its whole field. It also produced a completely new family of representations of the braid groups, and Jones showed how these gave a new polynomial invariant for knots. On one side this transformed knot theory, while in another direction it opened up a new field embracing statistical mechanics, conformal quantum field theory, and the quantization of Lie groups. Jones's most recent work concerns exact solutions in two-dimensional statistical mechanics.
AccessStatusClosed
Fellows associated with this archive
CodePersonNameDates
NA1613Jones; Vaughan Frederick Randal (1952 - 2020)1952 - 2020
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