Citation | Trevor Wooley is renowned for his deep contributions to analytic number theory, and especially additive number theory. By a penetrating analysis of classical methods, combined with the development of incisive new ideas he has been able to make important progress on a series of central problems, with far-reaching consequences. In particular he has contributed significantly to our understanding of the Vinogradov mean-value theorem, Waring's problem, the theory of exponential sums, diophantine approximation, the validity of the local-to-global principle and the non-trivial integral zeros of systems of forms in many variables. |