79 citations · 187 across the 26 of their papers we have counts for
5 papers · 1 filter
Torsion Galois representations over CM fields and Hecke algebras in the derived category
James Newton, Jack A. Thorne
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representation…
Elliptic curves over are modular
Jack A. Thorne
We show that if p is a prime, then all elliptic curves defined over the cyclotomic Z_p extension of Q are modular.
Automorphy of some residually dihedral Galois representations
Jack A. Thorne
We establish the automorphy of some families of 2-dimensional representations of the absolute Galois group of a totally real field, which do not satisfy the so-called `Taylor--Wile…
Automorphy of some residually S_5 Galois representations
Chandrashekhar B. Khare, Jack A. Thorne
We prove automorphy lifting theorems for 2-dimensional Galois representations of absolute Galois groups of totally real fields when the residual representation is of "exceptional"…
Equidistribution of Frobenius eigenvalues
Jack A. Thorne
We study the problem of variation of Frobenius eigenvalues on the cohomology of families of local systems of algebraic curves over finite fields.