Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
Potential Automorphy over CM Fields
– Annals of Mathematics
(2023)
197,
897
(doi: 10.4007/ANNALS.2023.197.3.2)
On the vanishing of adjoint Bloch-Kato Selmer groups of irreducible automorphic Galois representations
– Pure and Applied Mathematics Quarterly
(2022)
18,
2159
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
– Proceedings of the National Academy of Sciences of USA
(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 -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)
On subquotients of the étale cohomology of Shimura varieties
(2020)
457,
306
(doi: 10.1017/9781108649711.013)
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