Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
Modularity of PGL2(Fp)-representations over totally real fields
– Proceedings of the National Academy of Sciences
(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)
(doi: 10.1017/9781108649711.013)
On subquotients of the etale 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 $\mathbb{Q}_\infty$ 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 Fq(X) WITH Two MARKED POINTS
– Documenta Mathematica
(2019)
24,
1179
On the arithmetic of simple singularities of type E.
– Research in number theory
(2018)
4,
21
(doi: 10.1007/s40993-018-0110-5)
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