Jack Thorne is a mathematician who studies number theory and its interaction with representation theory and the theory of automorphic forms; in brief, the role played by symmetry in solving equations. His most important works include the proof of new cases of functoriality for holomorphic modular forms; the modularity of elliptic curves over any layer of the cyclotomic tower; the existence of Galois representations associated to regular algebraic automorphic forms; and the potential automorphy of local systems on curves over finite fields.

Jack’s work has been recognised by several awards, including a Clay Research Fellowship, the LMS Whitehead Prize and the SASTRA Ramanujan Prize. In 2018 he gave an invited address at the International Congress of Mathematicians in Rio de Janeiro.