P. Allen

collaborators

3 papers

math.NT2021

Modularity of $PGL_{2} (F_{p})$ -representations over totally real fields

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

We study an analogue of Serre's modularity conjecture for projective representations $ρ : Gal (K / K) \to PGL_{2} (k)$ , where $…

math.NT2019

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

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…

Modularity of PGL2​(Fp​)-representations over totally real fields

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

Monodromy for some rank two Galois representations over CM fields

Modularity of $PGL_{2} (F_{p})$ -representations over totally real fields

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