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

RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF GL(2n) 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)

E8 and 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)

Potential automorphy of $\hat{G}$-local systems

JA Thorne

(2018)

On the arithmetic of simple singularities of type E

B Romano, JA Thorne

– Research in Number Theory

(2018)

4,

21

(DOI: 10.1007/s40993-018-0110-5)

A 2-adic automorphy lifting theorem for unitary groups over CM fields

JA Thorne

– Mathematische Zeitschrift

(2017)

285,

1

(DOI: 10.1007/s00209-016-1681-2)

On the $\mathrm {GL}_n$ GL n -eigenvariety and a conjecture of Venkatesh

D Hansen, JA Thorne

– Selecta Mathematica

(2017)

23,

1205

(DOI: 10.1007/s00029-017-0303-0)