10 citations · 35 across the 20 of their papers we have counts for
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Reduction of homomorphisms mod p and algebraicity
Chandrashekhar Khare, Dipendra Prasad
{Let be a number field, and abelian varieties over . Let (resp. ) be a non-torsion point in (resp. ) such that for almost all places o…
Limits of residually irreducible p-adic Galois representations
Chandrashekhar Khare
In this note we produce examples of converging sequences of Galois representations, and study some of their properties. Some of the results here are used in the preprint math.NT/02…
F-split Galois representations are potentially abelian
Chandrashekhar Khare
In this note we relate the property of a semisimple l-adic Galois representation being "F-split" for a number field F to its having abelian image. By F-split we mean that the chara…
Belyi parametrisations of elliptic curves and congruence defects
Chandrashekhar Khare
In this note we consider questions about parametrisations of elliptic curves defined over number fields by quotients of the upper half-plane by finite index subgroups of SL_2(Z). W…
Compatible systems of mod p Galois representations II
Chandrashekhar Khare
We prove a reciprocity law for one-dimensional compatible systems of mod p representations of absolute Galois groups of number fields. We prove that these arise from Hecke characte…
Modularity of p-adic Galois representations via p-adic approximations
Chandrashekhar Khare
We give a direct approach to recover some of the results of Wiles and Tayor on modularity of certain 2-dimensional p-adic representations of the absolute Galois group of Q.