activity
20002022
most citedFunctoriality and the Inverse Galois Problem

20 citations · 60 across the 27 of their papers we have counts for

collaborators

29 papers

math.NT2022

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…

math.NT2022

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…

math.NT2022

Splitting fields of (particularly for ), prime decomposition and modular forms

Chandrashekhar B. Khare, Alfio Fabio La Rosa, Gabor Wiese

We study the splitting fields of the family of polynomials . This family of polynomials has been much studied in the literature and has some remarkable properties.…

math.NT2022

Cyclic base change of cuspidal automorphic representations over function fields

Gebhard Böckle, Tony Feng, Michael Harris +2

Let be a split semi-simple group over a global function field . Given a cuspidal automorphic representation of satisfying a technical hypothesis, we prove that for a…

math.NT2022

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…

math.NT2020

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…