11 citations · 18 across the 9 of their papers we have counts for
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math.NT2019
Wiles defect for Hecke algebras that are not complete intersections
Gebhard Boeckle, Chandrashekhar Khare, Jeffrey Manning
In his work on modularity theorems, Wiles proved a numerical criterion for a map of rings to be an isomorphism of complete intersections. He used this to show that certain…
math.NT2019★ 11 cited
Ihara's lemma for Shimura curves over totally real fields via patching
Jeff Manning, Jack Shotton
We prove Ihara's lemma for the mod cohomology of Shimura curves, localised at a maximal ideal of the Hecke algebra, under a large image hypothesis on the associated Galois repr…
math.NT2019★ 5 cited
Patching and Multiplicity for Shimura Curves
Jeffrey Manning
We use the Taylor-Wiles-Kisin patching method to investigate the multiplicities with which Galois representations occur in the mod cohomology of Shimura curves over totally…