
Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
Modularity of $\mathrm{GL}_2 (\mathbb{F}_p)$-representations over CM fields
– Cambridge Journal of Mathematics
(2023)
11,
1
(doi: 10.4310/cjm.2023.v11.n1.a1)
Potential Automorphy over CM Fields
– Annals of Mathematics
(2023)
197,
897
(doi: 10.4007/ANNALS.2023.197.3.2)
Automorphy lifting with adequate image
– Forum of Mathematics, Sigma
(2023)
11,
e8
(doi: 10.1017/fms.2023.3)
A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$
– Annales Scientifiques de l École Normale Supérieure
(2023)
56,
257
(doi: 10.24033/asens.2533)
Adjoint Selmer groups of automorphic Galois representations of unitary type
– Journal of the European Mathematical Society
(2022)
25,
1919
(doi: 10.4171/jems/1228)
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 PGL2(𝔽p)-representations over totally real fields.
– Proc Natl Acad Sci U S A
(2021)
118,
e2108064118
(doi: 10.1073/pnas.2108064118)
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