11 citations · 18 across the 9 of their papers we have counts for
9 papers
The commutative algebra of congruence ideals and applications to number theory
Srikanth B. Iyengar, Chandrashekhar B. Khare, Jeffrey Manning
In his proof of Fermat's Last Theorem, Wiles deployed a commutative algebra technique, namely a numerical criterion for detecting isomorphisms of rings. In our recent work we pick…
Mod multiplicities in certain Shimura varieties
Jeffrey Manning
We use the Taylor-Wiles-Kisin patching method to investigate the multiplicities with which Hecke eigensystems appear in the mod- cohomology of unitary Shimura sets, associate…
Congruence modules in higher codimension and zeta lines in Galois cohomology
Srikanth B. Iyengar, Chandrashekhar B. Khare, Jeffrey Manning +1
This work builds on earlier work of the first three authors where a notion of congruence modules in higher codimension is introduced. The main new results are a criterion for detec…
Freeness of Hecke modules at non-minimal levels
Srikanth B. Iyengar, Chandrashekhar B. Khare, Jeffrey Manning
We build on the results of [6] to show that the homology groups of arithmetic manifolds are free over certai…
Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions
Srikanth B. Iyengar, Chandrashekhar B. Khare, Jeffrey Manning
We define a congruence module associated to a surjective -algebra morphism , with a discrete valuation ring, a com…
Wiles defect of Hecke algebras via local-global arguments
Gebhard Boeckle, Chandrashekhar B. Khare, Jeffrey Manning
We continue our study of the Wiles defect of deformation rings and Hecke rings (at a newform ) acting on the cohomology of Shimura curves. The Wiles defect at an augment…