Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
Modularity of PGL_2(F_p)-representations over totally real fields
– Proceedings of the National Academy of Sciences of the United States of America
(2021)
118,
e2108064118
(DOI: 10.1073/pnas.2108064118)
Raising the level of automorphic representations of of unitary type
– Journal of the Institute of Mathematics of Jussieu
(2021)
1
(DOI: 10.1017/s1474748020000602)
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)
122,
678
(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)
- 1 of 4