Professor Jack Thorne | Department of Pure Mathematics and Mathematical Statistics

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Professor of Number Theory

Research Interests:

Number theory and arithmetic geometry

Publications

Symmetric power functoriality for Hilbert modular forms

J Newton, J Thorne

– Annals of Mathematics

(2026)

203,

283

(doi: 10.4007/annals.2026.203.1.4)

Reduction theory for stably graded Lie algebras

JA Thorne

– Algebra & Number Theory

(2026)

20,

195

(doi: 10.2140/ant.2026.20.195)

Lower bounds on heights of odd degree points of hyperelliptic curves

J Laga, JA Thorne

(2025)

(link to publication)

Kummers, spinors, and heights

J Laga, JA Thorne

(2025)

(link to publication)

An LLL algorithm with symmetries

B Romano, JA Thorne

– International Journal of Number Theory

(2025)

21,

1361

(doi: 10.1142/s1793042125500708)

The Ramanujan and Sato–Tate Conjectures for Bianchi modular forms

G Boxer, F Calegari, T Gee, J Newton, JA Thorne

– Forum of Mathematics Pi

(2025)

13,

e10

(doi: 10.1017/fmp.2024.29)

Cyclic base change of cuspidal automorphic representations over function fields

J Thorne, M Harris, T Feng, G Bockle, C Khare

– Compositio Mathematica

(2024)

160,

1959

(doi: 10.1112/s0010437x24007243)

100% of odd hyperelliptic Jacobians have no rational points of small height

J Laga, JA Thorne

(2024)

(link to publication)

Congruences between modular forms

JA Thorne

– Proceedings - Mathematical Sciences

(2024)

134,

9

(doi: 10.1007/s12044-024-00776-4)

A p-adic approach to the existence of level-raising congruences

J Thorne

– Proceedings of the London Mathematical Society

(2024)

128,

ARTN e12584

(doi: 10.1112/plms.12584)