Christopher Hooley

Christopher Hooley ( born August 7, 1928 in Edinburgh ) is a British mathematician who deals with analytic number theory.

Hooley received his doctorate in 1958 at Albert Ingham at Cambridge University ( Some theorem in the Additive Theory of Numbers ). At Cambridge, he also won the Adams Prize (1973). In 1974 he received the Sc. D. at the University of Cambridge. He was until his retirement Professor at the University of Cardiff and there temporarily head of the Department of Pure Mathematics. He had been a guest scientist at the Institute for Advanced Study (1970 /1, 1976, 1977 ).

In 1967 he proved the Artin 's conjecture under the assumption of the Generalized Riemann special cases of Conjecture ( Artin's conjecture on, Journal of Pure and Applied Mathematics, Vol 225, 1967, p.209 -220). The Artin conjecture states that all numbers that are not square numbers and not -1, are primitive roots modulo infinitely many prime numbers are. The conjecture is still open.

In 1988 he proved the validity of the Hasse principle ( local-global principle) for non-singular cubic forms in at least nine unknowns ( On nonary cubic forms, Journal of Pure and Applied Mathematics, Vol 386, 1988, pp. 32-98 ). The principle states that from the solvability in the real and p- adic numbers (local) solvability in rational numbers follow (global). For quadratic forms this is true ( set of Hasse - Minkowski ), for cubic forms but not in every case.

In 1983 he became a Fellow of the Royal Society. In 1980 he was awarded the Senior Berwick Prize of 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 ).

Writings

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