A Whitehead Prize is awarded to Dr K.M. Buzzard of Imperial College for his distinguished work in number theory.
Dr Buzzard has several main achievements:
(i) he has given a basically complete description of the possible levels for a modular mod l Galois representation;
(ii) he has given a Galois-theoretic criterion for analytically continuing a p-adic modular form to a classical modular form;
(iii) he has shown that the Coleman-Mazur theory of p-adic families of modular forms could be de-mystified by short elementary arguments using group cohomology; and
(iv) he has shown how to compute the slopes of the p-Hecke operator on spaces of modular forms.
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