10 citations · 17 across the 4 of their papers we have counts for
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Mod representations of arithmetic fundamental groups II (A conjecture of A.J. de Jong)
Gebhard Boeckle, Chandrashekhar Khare
As a sequel to our proof of the analog of Serre's conjecture for function fields in Part I of this work, we study in this paper the deformation rings of -dimensional mod …
Mod representations of arithmetic fundamental groups: Part I (An analog of Serre's conjecture for function fields)
Gebhard Boeckle, Chandrashekhar Khare
We formulate for function fields an analog of Serre's conjecture on the modularity of 2-dimensional irreducible mod l representations of the absolute Galois group of Q: our analog…
Mod pq Galois representations and Serre's conjecture
Chandrashekhar Khare, Ian Kiming
Motives and automorphic forms of arithmetic type give rise to Galois representations that occur in {\it compatible families}. These compatible families are of p-adic representation…
Hasse invariant and group cohomology
Bas Edixhoven, Chandrashekhar Khare
Let p be a prime number. The Hasse invariant is a modular form modulo p that is often used to produce congruences between modular forms of different weights. We show how to produce…
On Heegner points of large conductors
Chandrashekhar Khare, C. S. Rajan
Given a parametrisation of an elliptic curve over Q by a Shimura curve, we show that the images of almost all Heegner points are of infinite order. For parametrisations of elliptic…