Klaus Roth

Information about Klaus Roth

Klaus Friedrich Roth, FRS (IPA pronunciation of last name: [ɹəʊθ]) (b. 29 October 1925) is a British mathematician known for work on diophantine approximation, the large sieve, and irregularities of distribution. He was born in Breslau (then in Germany, now Wrocław in Poland) but being Jewish[1], his parents fled to the UK, where Klaus was raised and educated. He graduated from Peterhouse, Cambridge in 1945. He was a student of Harold Davenport.

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 integers of positive density must contain infinitely many arithmetic progressions 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

External links

O'Connor, John J; Edmund F. Robertson "Klaus Roth". MacTutor History of Mathematics archive.  

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Fields Medalists
Ahlfors / Douglas (1936) • Schwartz / Selberg (1950) • Kodaira / Serre (1954) • Roth / Thom (1958) • Hrmander / Milnor (1962) • Atiyah / Cohen / Grothendieck / Smale (1966) • Baker / Hironaka / Novikov / Thompson (1970) • Bombieri / Mumford (1974) • Deligne / Fefferman / Margulis / Quillen (1978) • Connes / Thurston / Yau (1982) • Donaldson / Faltings / Freedman (1986) • Drinfel'd / Jones / Mori / Witten (1990) • Zelmanov / Lions / Bourgain / Yoccoz (1994) • Borcherds / Gowers / Kontsevich / McMullen (1998) • Lafforgue / Voevodsky (2002) • Okounkov / Perelman / Tao / Werner (2006)
Fellow of the Royal Society is an honour accorded to distinguished scientists and a category of membership of the Royal Society. Fellows are entitled to put the letters FRS after their name.

Up to 44 new fellows are elected each year by ballot of the existing fellows.
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    In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The smallness of the distance (in an absolute value sense) from the real number to be approximated to the rational
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    In mathematics, the large sieve is a method of analytic number theory. As the name implies, it was at least originally concerned, as a sieve method, with (for example) sifting from an integer sequence by means of congruence conditions modulo prime numbers, in which a relatively
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