79 citations · 187 across the 26 of their papers we have counts for
35 papers
Towards the Fontaine--Mazur conjecture for GL(2)
Jack A. Thorne
We combine a new type of modularity result with the geometry of numbers in order to prove some new cases of the Fontaine--Mazur conjecture for GL(2).
Adjoint Bloch--Kato Selmer groups of regular algebraic automorphic Galois representations
Lambert A'Campo, Bence Hevesi, Jack A. Thorne +1
We prove the vanishing of the adjoint Bloch--Kato Selmer group of the Galois representations associated to regular algebraic automorphic representations of general linear groups ov…
Local-global compatibility of automorphic Galois representations over CM fields at
Lambert A'Campo, Bence Hevesi, Jack A. Thorne +1
Let be a CM number field; then, to any cuspidal, regular algebraic automorphic representation of is associated a compatible system of -adic Gal…
Non-abelian base change for symmetric power liftings of holomorphic modular forms
Laurent Clozel, James Newton, Jack A. Thorne
Let be a non-CM Hecke eigenform of weight . We give a new proof of some cases of Langlands functoriality for the automorphic representation associated to . Mor…
The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms
George Boxer, Frank Calegari, Toby Gee +2
We prove the Ramanujan and Sato-Tate conjectures for Bianchi modular forms of weight at least 2. More generally, we prove these conjectures for all regular algebraic cuspidal autom…
A -adic approach to the existence of level-raising congruences
Jack A. Thorne
We construct level-raising congruences between -ordinary automorphic representations, and apply this to the problem of symmetric power functoriality for Hilbert modular forms. I…