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John Griggs Thompson (born 13 Oct 1932) is a mathematician noted for his work in the field of finite groups. 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.
Thompson was a key figure in the progress toward the classification of finite simple groups. In 1963, he and Walter Feit proved that all nonabelian finite simple groups are of even order (the Odd Order Paper, filling a whole issue of the Pacific Journal of Mathematics). Thompson received the Fields Medal in 1970.
He has also made major contributions to the inverse Galois problem.
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