| Klaus Roth |
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His definitive result, now known usually as the Thue-Siegel-Roth Theorem , but also just ''Roth's theorem'', dates from 1955 , when he was a lecturer at University College London . He was awarded a Fields Medal in 1958 on the strength of it. In 1956 he established that subsets of the Integer s of positive density must contain infinitely many Arithmetic Progression s of length three, thus establishing the first non-trivial case of what is now known as Szemerédi's Theorem . He became a professor at University College in 1961 , and moved to a chair at Imperial College London in 1966, where he remained until 1988 . AWARDS
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