John G. Thompson

John Thompson
John Thompson in 2007
Born	(1932-10-13) October 13, 1932 (age 84) Ottawa, Kansas, U.S.
Nationality	American
Fields	Group theory
Institutions	Harvard University (1961–62) University of Chicago (1962–68) University of Cambridge (1968–93) University of Florida (1993–present)
Alma mater	Yale University (B.A. 1955) University of Chicago (Ph.D. 1959)
Thesis	A Proof that a Finite Group with a Fixed-Point-Free Automorphism of Prime Order is Nilpotent (1959)
Doctoral advisor	Saunders MacLane
Doctoral students	R. L. Griess Richard Lyons Charles Sims
Notable awards	Cole Prize (1965) Fields Medal (1970) Fellow of the Royal Society (1979) Senior Berwick Prize (1982) Sylvester Medal (1985) Wolf Prize (1992) Médaille Poincaré (1992) National Medal of Science (2000) Abel Prize (2008) De Morgan Medal (2013)

John Griggs Thompson (born October 13, 1932) is a mathematician at the University of Florida noted for his work in the field of finite groups. He was awarded the Fields Medal in 1970, the Wolf Prize in 1992 and the 2008 Abel Prize.

He received his B.A. from Yale University in 1955 and his doctorate from the University of Chicago in 1959 under the supervision of Saunders Mac Lane. After spending some time on the Mathematics faculty at the University of Chicago, he moved in 1970 to the Rouse Ball Professorship in Mathematics at the University of Cambridge, England, and later moved to the Mathematics Department of the University of Florida as a Graduate Research Professor. He is currently a Professor Emeritus of Pure Mathematics at the University of Cambridge, and professor of mathematics at the University of Florida. He received the Abel Prize 2008 together with Jacques Tits.

Thompson's doctoral thesis introduced new techniques, and included the solution of a problem in finite group theory which had stood for around sixty years, the nilpotency of Frobenius kernels. At the time, this achievement was noted in The New York Times (though his university affiliation was stated incorrectly there).