Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
Automorphy lifting for residually reducible -adic Galois representations, II
– 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.
– Proceedings of the London Mathematical Society
(2020)
plms.12388
(DOI: 10.1112/plms.12388)
$\hat{G}$-local systems on smooth projective curves are potentially automorphic
– Acta Mathematica
(2019)
223,
1
(DOI: 10.4310/ACTA.2019.v223.n1.a1)
Elliptic curves over $\mathbb{Q}_\infty$ are modular
– 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
– Documenta Mathematica
(2019)
24,
1179
Potential automorphy of $\hat{G}$-local systems
(2018)
On the arithmetic of simple singularities of type E
– 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
– 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
– Selecta Mathematica
(2017)
23,
1205
(DOI: 10.1007/s00029-017-0303-0)
Level-raising and symmetric power functoriality, III
– Duke Mathematical Journal
(2017)
166,
325
(DOI: 10.1215/00127094-3714971)
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