1958 Fields Medal (1)

Reason for Award

Solved in 1955 the famous Thue-Siegel problem concerning theapproximationtoalgebraic numbersbyrational numbersand proved in 1952 that a sequence with no three numbers inarithmetic progressionhas zero density (a conjecture ofErdösand Turán of 1935).

Laureates

Klaus Friedrich Roth,

United Kingdom of Great Britain and Northern Ireland

Other works in the same year

In 1954 invented and developed the theory of cobordism inalgebraic topology. This classification of manifolds usedhomotopy theoryin a fundamental way and became a prime example of a general cohomology theory.

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