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 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

– Proceedings of the National Academy of Sciences of the United States of America

(2021)

118,

e2108064118

(DOI: 10.1073/pnas.2108064118)

Elliptic Curves and Modularity

J Thorne

(2021)

(DOI: 10.17863/CAM.76613)

Raising the level of automorphic representations of of unitary type

C Anastassiades, JA Thorne

– Journal of the Institute of Mathematics of Jussieu

(2021)

1

(DOI: 10.1017/s1474748020000602)

Automorphy lifting for residually reducible-adic Galois representations, II

PB Allen, J Newton, JA Thorne

– Compositio Mathematica

(2020)

156,

2399

(DOI: 10.1112/s0010437x20007484)

E8and the average size of the 3-Selmer group of the Jacobian of a pointed genus-2 curve

B Romano, JA Thorne

– Proceedings of the London Mathematical Society

(2020)

122,

678

(DOI: 10.1112/plms.12388)

$\hat{G}$-local systems on smooth projective curves are potentially automorphic

J Thorne, M Harris, G Bockle, C Khare

– Acta Mathematica

(2019)

223,

1

(DOI: 10.4310/acta.2019.v223.n1.a1)

Elliptic curves over $\mathbb{Q}_\infty$ are modular

JA Thorne

– Journal of the European Mathematical Society

(2019)

21,

1943

(DOI: 10.4171/JEMS/877)

On the average number of 2-selmer elements of elliptic curves over F_q(X) with two marked points

JA Thorne

– Documenta Mathematica

(2019)

24,

1179

(DOI: 10.25537/dm.2019v24.1179-1223)