Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
Symmetric power functoriality for holomorphic modular forms
– Publications mathématiques de l'IHÉS
(2021)
134,
1
(doi: 10.1007/s10240-021-00127-3)
Symmetric power functoriality for holomorphic modular forms, II
– Publications mathématiques de l'IHÉS
(2021)
134,
117
(doi: 10.1007/s10240-021-00126-4)
Modularity of PGL_2(F_p)-representations over totally real fields
– Proc Natl Acad Sci U S A
(2021)
118,
e2108064118
(doi: 10.1073/pnas.2108064118)
RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF GL(2n) OF UNITARY TYPE
– Journal of the Institute of Mathematics of Jussieu
(2021)
21,
1421
(doi: 10.1017/s1474748020000602)
Automorphy lifting for residually reducible l-adic Galois representations, II
– 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
– Proceedings of the London Mathematical Society
(2020)
122,
678
(doi: 10.1112/plms.12388)
On subquotients of the etale cohomology of Shimura varieties
(2020)
(doi: 10.1017/9781108649711.013)
On subquotients of the étale cohomology of Shimura varieties
(2020)
457,
306
(doi: 10.1017/9781108649711.013)
$\hat{G}$-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 Q$_{∞}$ are modular
– Journal of the European Mathematical Society
(2019)
21,
1943
(doi: 10.4171/jems/877)
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