37 citations · 333 across the 52 of their papers we have counts for
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math.NT2016★ 18 cited
Patching and the completed homology of locally symmetric spaces
Toby Gee, James Newton
Under an assumption on the existence of p-adic Galois representations, we carry out Taylor--Wiles patching (in the derived category) for the completed homology of the locally symme…
math.NT2016★ 18 cited
Patching and the p-adic Langlands program for GL(2, Q_p)
Ana Caraiani, Matthew Emerton, Toby Gee +3
We present a new construction of the p-adic local Langlands correspondence for GL(2, Q_p) via the patching method of Taylor--Wiles and Kisin. This construction sheds light on the r…
math.NT2016★ 7 cited
Explicit Serre weights for two-dimensional Galois representations
Frank Calegari, Matthew Emerton, Toby Gee +1
We prove the explicit version of the Buzzard--Diamond--Jarvis conjecture formulated by Diamond--Dembélé--Roberts. More precisely, we prove that it is equivalent to the original Buz…