Rate My Professor Jack Thorne

Thorne's research centers on number theory, particularly its interactions with representation theory, algebra, and automorphic forms, exploring the role of symmetry in solving equations. His transformative contributions to algebraic number theory include proofs 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 potential automorphy for local systems on curves over finite fields. In collaboration with James Newton, he established symmetric power functoriality for holomorphic modular forms, yielding fundamental results on L-functions connected to Ramanujan's Delta function and sums of squares problems, advancing the Langlands programme by linking Diophantine equations to geometric and analytic objects. Thorne's honors encompass the Clay Research Fellowship, LMS Whitehead Prize (2017), SASTRA Ramanujan Prize (2018), New Horizons in Mathematics Prize (2022), election as a Fellow of the Royal Society (2020), and Fellowship in the first cohort of the Academy for the Mathematical Sciences. He presented an invited address at the International Congress of Mathematicians in 2018 and supervises and lectures on Part II Number Theory and graduate quadratic forms in the Cambridge Tripos.