P. Allen

activity

20122021

most citedDeformations of polarized automorphic Galois representations and adjoint Selmer groups

38 citations · 72 across the 10 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 2 cited

Automorphy lifting for residually reducible $l$ -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…

math.NT2019★ 2 cited

Modularity of $GL_{2} (F_{p})$ -representations over CM fields

Patrick B. Allen, Chandrashekhar Khare, Jack A. Thorne

We prove that many representations $ρ : Gal (K / K) \to GL_{2} (F_{3})$ , where $K$ is a CM field, arise from modular elliptic c…

math.NT2019

Monodromy for some rank two Galois representations over CM fields

Patrick B. Allen, James Newton

We investigate local-global compatibility for cuspidal automorphic representations $π$ for GL(2) over CM fields that are regular algebraic of weight $0$ . We prove that for a Dirich…

Automorphy lifting for residually reducible l-adic Galois representations, II

Modularity of GL2​(Fp​)-representations over CM fields

Monodromy for some rank two Galois representations over CM fields

Automorphy lifting for residually reducible $l$ -adic Galois representations, II

Modularity of $GL_{2} (F_{p})$ -representations over CM fields