38 citations · 116 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
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…
Monodromy for some rank two Galois representations over CM fields
Patrick B. Allen, James Newton
We investigate local-global compatibility for cuspidal automorphic representations for GL(2) over CM fields that are regular algebraic of weight . We prove that for a Dirich…