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

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)

Symmetric power functoriality for holomorphic modular forms

J Newton, JA Thorne

– Publications mathématiques de l'IHÉS

(2021)

134,

1

(doi: 10.1007/s10240-021-00127-3)

Symmetric power functoriality for holomorphic modular forms, II

J Newton, JA Thorne

– Publications mathématiques de l'IHÉS

(2021)

134,

117

(doi: 10.1007/s10240-021-00126-4)

Modularity of PGL2(𝔽p)-representations over totally real fields.

PB Allen, CB Khare, JA Thorne

– Proc Natl Acad Sci U S A

(2021)

118,

e2108064118

(doi: 10.1073/pnas.2108064118)

Elliptic Curves and Modularity

J Thorne

(2021)

(doi: 10.17863/CAM.76613)