79 citations · 187 across the 26 of their papers we have counts for
8 papers · 2 filters
Automorphy lifting for residually reducible -adic Galois representations, II
Patrick B. Allen, James Newton, Jack A. Thorne
We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary numb…
Raising the level of automorphic representations of of unitary type
Christos Anastassiades, Jack A. Thorne
We use the endoscopic classification of automorphic representations of even-dimensional unitary groups to construct level-raising congruences.
Adjoint Selmer groups of automorphic Galois representations of unitary type
James Newton, Jack A. Thorne
Let be the -adic Galois representation attached to a cuspidal, regular algebraic automorphic representation of of unitary type. Under very mild hypotheses on…
Symmetric power functoriality for holomorphic modular forms
James Newton, Jack A. Thorne
Let be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting for every . We establish the same result for a…
Modularity of -representations over CM fields
Patrick B. Allen, Chandrashekhar Khare, Jack A. Thorne
We prove that many representations , where is a CM field, arise from modular elliptic c…
Potential automorphy of -local systems
Jack A. Thorne
Vincent Lafforgue has recently made a spectacular breakthrough in the setting of the global Langlands correspondence for global fields of positive characteristic, by constructing t…