A geometric perspective on the Breuil–Mézard conjecture

Congruences between Hilbert modular forms: constructing ordinary lifts

(2012) Thomas Barnet-Lamb et al.   DUKE MATHEMATICAL JOURNAL

Local-global compatibility and the action of monodromy on nearby cycles

(2012) Ana Caraiani   DUKE MATHEMATICAL JOURNAL

Adequate subgroups II

(2012) Robert Guralnick   Bulletin of Mathematical Sciences

Galois representations arising from some compact Shimura varieties

(2011) Sug Woo Shin   ANNALS OF MATHEMATICS

Even Galois representations and the Fontaine–Mazur conjecture. II

(2011) Frank Calegari   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Moduli of finite flat group schemes, and modularity

(2010) Mark Kisin   ANNALS OF MATHEMATICS

On Serre's conjecture for mod $\ell$ Galois representations over totally real fields

(2010) Kevin Buzzard et al.   DUKE MATHEMATICAL JOURNAL

The Sato-Tate conjecture for Hilbert modular forms

(2010) Thomas Barnet-Lamb et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Automorphic lifts of prescribed types

(2010) Toby Gee   MATHEMATISCHE ANNALEN

The weight in a Serre-type conjecture for tame $n$ -dimensional Galois representations

(2009) Florian Herzig   DUKE MATHEMATICAL JOURNAL

The Fontaine-Mazur conjecture for $ {GL}_2$

(2009) Mark Kisin   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Automorphy for some l-adic lifts of automorphic mod l Galois representations

(2008) Laurent Clozel et al.   Publications Mathematiques de l IHES