124 citations · 189 across the 24 of their papers we have counts for
9 papers · 1 filter
Trianguline lifts of global mod Galois representations
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis
We show that under a suitable oddness condition, irreducible mod representations of the absolute Galois group of an arbitrary number field have characteristic zero lifts which…
Lifting and automorphy of reducible mod p Galois representations over global fields
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis
We extend the lifting methods of our previous paper to lift reducible odd representations of Galois groups of global fields valued…
Hecke operators and the coherent cohomology of Shimura varieties
Najmuddin Fakhruddin, Vincent Pilloni
We consider the problem of defining an action of Hecke operators on the coherent cohomology of certain integral models of Shimura varieties. We formulate a general conjecture descr…
Quantitative level lowering for Galois representations
Najmuddin Fakhruddin, Chandrashekhar Khare, Ravi Ramakrishna
We use Galois cohomology methods to produce optimal mod level lowering congruences to a -adic Galois representation that we construct as a well chosen lift of a given resi…
Lifting -irreducible but -reducible Galois representations
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis
In recent work, the authors proved a general result on lifting -irreducible odd Galois representations , with $…
Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis
We study irreducible odd mod Galois representations , for a totally real number field and a ge…