Global Methods in the Langlands Program

Publications

Peer reviewed articles (12)

Cuspidal cohomology of stacks of shtukas

Author(s): Cong Xue
Published in: Compositio Mathematica, 156/6, 2020, Page(s) 1079-1151, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x20007058

Symmetric power functoriality for holomorphic modular forms, II

Author(s): Newton, James; Thorne, Jack
Published in: Publ. Math. Inst. Hautes Études Sci., 134, 2021, Page(s) 117-152, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.48550/arxiv.2009.07180

RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF OF UNITARY TYPE

Author(s): Christos Anastassiades, Jack A. Thorne
Published in: Journal of the Institute of Mathematics of Jussieu, 2021, Page(s) 1-24, ISSN 1474-7480
Publisher: Cambridge University Press
DOI: 10.1017/s1474748020000602

Symmetric power functoriality for holomorphic modular forms

Author(s): Newton, James; Thorne, Jack A.
Published in: Publ. Math. Inst. Hautes Études Sci., 10, 2021, Page(s) 1-116, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-021-00127-3

On central extensions and simply laced Lie algebras

Author(s): Beth Romano
Published in: Journal of Algebra, 568, 2021, Page(s) 480-511, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2020.09.046

Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications

Author(s): Cong Xue
Published in: Épijournal de Géométrie Algébrique, Volume 4, 2020, ISSN 2491-6765
Publisher: Episciences
DOI: 10.46298/epiga.2020.volume4.5550

$\hat{G}$-local systems on smooth projective curves are potentially automorphic

Author(s): Gebhard Böckle, Michael Harris, Chandrashekhar Khare, Jack A. Thorne
Published in: Acta Mathematica, 223/1, 2019, Page(s) 1-111, ISSN 0001-5962
Publisher: Royal Swedish Academy of Sciences
DOI: 10.4310/acta.2019.v223.n1.a1

On the average number of 2-Selmer elements of elliptic curves over F_q(X) with two marked points

Author(s): Jack A. Thorne
Published in: Documenta Mathematica, 2019, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2019v24.1179-1223

Adjoint Selmer groups of automorphic Galois representations of unitary type

Author(s): Thorne, Jack; Newton, James
Published in: Adjoint Selmer groups of automorphic Galois representations of unitary type, 2022, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.48550/arxiv.1912.11265

Modularity of PGL 2 ( p )-representations over totally real fields

Author(s): Patrick B. Allen, Chandrashekhar B. Khare, Jack A. Thorne
Published in: Proceedings of the National Academy of Sciences, 118/33, 2021, Page(s) e2108064118, ISSN 0027-8424
Publisher: National Academy of Sciences
DOI: 10.1073/pnas.2108064118

E8 and the average size of the 3‐Selmer group of the Jacobian of a pointed genus‐2 curve

Author(s): Beth Romano; Jack A. Thorne
Published in: Proceedings of the London Mathematical Society, 2020, ISSN 1460-244X
Publisher: LMS/Wiley
DOI: 10.17863/cam.58186

Automorphy lifting for residually reducible -adic Galois representations, II

Author(s): Patrick B. Allen, James Newton, Jack A. Thorne
Published in: Compositio Mathematica, 156/11, 2020, Page(s) 2399-2422, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x20007484

Conference proceedings (1)

Proceedings of the International Congress of Mathematicians 2018 (ICM 2018)

Author(s): Boyan Sirakov, Paulo Ney de Souza, Marcelo Viana
Published in: Potential automorphy of Ĝ-local systems, 2018, 2018, Page(s) Vol. II, pp. 415--434, ISBN 978-981-327-287-3
Publisher: WORLD SCIENTIFIC
DOI: 10.1142/11060

Book chapters (2)

On subquotients of the etale cohomology of Shimura varieties

Author(s): Johansson, Christian; Thorne, Jack A.
Published in: """Shimura Varieties"" in London Mathematical Society Lecture Note Series", 457, 2020
Publisher: Cambridge University Press

From p-modular to p-adic Langlands correspondences for U(1,1)(ℚp2/ℚp): deformations in the non-supercuspidal case

Author(s): Ramla Abdellatif, Agnès David, Beth Romano, Hanneke Wiersema
Published in: Women in Numbers Europe III -- Research Directions in Number Theory, 2021, ISBN 978-3-030-77699-2
Publisher: Springer International Publishing