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

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)

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

JA Thorne

– Proceedings of the London Mathematical Society

(2024)

128,

ARTN e12584

(doi: 10.1112/plms.12584)

Elliptic curves and modularity

JA Thorne

– European Congress of Mathematics

(2023)

643

(doi: 10.4171/8ECM/12)

Modularity of $\mathrm{GL}_2 (\mathbb{F}_p)$-representations over CM fields

PB Allen, C Khare, JA Thorne

– Cambridge Journal of Mathematics

(2023)

11,

1

(doi: 10.4310/cjm.2023.v11.n1.a1)

Potential automorphy over CM fields

PB Allen, F Calegari, A Caraiani, T Gee, D Helm, BV Le Hung, J Newton, P Scholze, R Taylor, JA Thorne

– Annals of Mathematics

(2023)

197,

897

(doi: 10.4007/annals.2023.197.3.2)

Automorphy lifting with adequate image

K Miagkov, JAA Thorne

– Forum of Mathematics Sigma

(2023)

11,

e8

(doi: 10.1017/fms.2023.3)

A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$

M Harris, CB Khare, JA Thorne

– Annales Scientifiques de l École Normale Supérieure

(2023)

56,

257

(doi: 10.24033/asens.2533)

Adjoint Selmer groups of automorphic Galois representations of unitary type

J Newton, JA Thorne

– Journal of the European Mathematical Society

(2022)

25,

1919

(doi: 10.4171/jems/1228)

On the vanishing of adjoint Bloch-Kato Selmer groups of irreducible automorphic Galois representations

JA Thorne

– Pure and Applied Mathematics Quarterly

(2022)

18,

2159

(link to publication)