Christopher Hooley

Christopher Hooley (born August 7, 1928 in Edinburgh - † December 13, 2018 ) was a British mathematician who dealt with analytical number theory.

Hooley received his PhD in 1958 from Albert Ingham at Cambridge University (Some Theorems in the Additive Theory of Numbers). In Cambridge he also won the Adams Prize (1973). In 1974 he received the Sc. D. at Cambridge University. Until his retirement he was a professor at the University of Cardiff , where he was temporarily head of the Faculty of Pure Mathematics. He was visiting scholar at the Institute for Advanced Study several times (1970/1, 1976, 1977).

In 1967 he proved the Artin conjecture, assuming special cases of the Generalized Riemann Conjecture (On Artins conjecture, Journal für Reine und Angewandte Mathematik, Vol. 225, 1967, pp. 209-220). The Artin conjecture says that integers that are not square numbers and are not equal to −1 are primitive roots modulo an infinite number of prime numbers. The assumption is still open.

In 1988 he proved the validity of the Hasse principle ( local-global principle ) for non-singular cubic forms in at least 9 unknowns (On nonary cubic forms, Journal für Reine und Angewandte Mathematik, Vol. 386, 1988, pp. 32-98) . The principle says that solvability in real and p-adic numbers (local) results in solvability in rational numbers (global). This applies to square shapes ( Hasse - Minkowski's theorem ), but not in every case for cubic shapes.

In 1983 he became a Fellow of the Royal Society . In 1980 he received the Senior Berwick Prize from the London Mathematical Society . In 1983 he gave a plenary lecture at the ICM in Warsaw ( Some recent advances in analytic number theory ) and in 1974 he was invited speaker at the ICM in Vancouver ( The distribution of sequences in arithmetic progressions ).

Fonts

• Applications of sieve methods to the theory of numbers, Cambridge Tracts Vol. 70, Cambridge University Press 1976

Web links

• Homepage in Cardiff (accessed April 6, 2014)