33 citations · 85 across the 19 of their papers we have counts for
23 papers
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…
Wiles defect for modules and criteria for freeness
Sylvain Brochard, Srikanth B. Iyengar, Chandrashekhar B. Khare
F. Diamond proved a numerical criterion for modules over local rings to be free modules over complete intersection rings. We formulate a refinement of these results using the notio…
Modularity of -representations over totally real fields
Patrick B. Allen, Chandrashekhar B. Khare, Jack A. Thorne
We study an analogue of Serre's modularity conjecture for projective representations , where $…
Abelian varieties with isogenous reductions
Chandrashekhar B. Khare, Michael Larsen
If A and B are abelian varieties over a number field K such that there are non-trivial geometric homomorphisms of abelian varieties between reductions of A and B at most primes of…
A freeness criterion without patching for modules over local rings
Sylvain Brochard, Srikanth B. Iyengar, Chandrashekhar Khare
It is proved that if is a local homomorphism of commutative noetherian local rings, a nonzero finitely generated -module whose flat dimension over is at…
Liftable groups, negligible cohomology and Heisenberg representations
Chandrashekhar B. Khare, Michael Larsen
We consider lifting of mod p representations to mod p^2 representations in the setting of representations of (i) finite groups; (ii) absolute Galois groups of abstract fields; and…