151 citations · 275 across the 32 of their papers we have counts for
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Hecke Operators on Stable Cohomology
Frank Calegari, Matthew Emerton
We prove that the completed cohomology groups of SL_N(Z) in fixed degree stabilize as N goes to infinity. We also prove that the action of Hecke operators on stable cohomology is t…
Patching and the p-adic local Langlands correspondence
Ana Caraiani, Matthew Emerton, Toby Gee +3
We use the patching method of Taylor--Wiles and Kisin to construct a candidate for the p-adic local Langlands correspondence for GL_n(F), F a finite extension of Q_p. We use our co…
Galois representations and torsion in the coherent cohomology of Hilbert modular varieties
Matthew Emerton, Davide A. Reduzzi, Liang Xiao
Let be a totally real number field and let be a prime unramified in . We prove the existence of Galois pseudo-representations attached to mod Hecke eigenclasses of…
Lattices in the cohomology of Shimura curves
Matthew Emerton, Toby Gee, David Savitt
We prove conjectures of Breuil and Breuil-Dembele (C. Breuil, "Sur un probleme de compatibilite local-global modulo p pour GL(2)"), including a generalisation from the principal se…