Serre’s modularity conjecture (I) C Khare, JP Wintenberger Inventiones mathematicae 178 (3), 485-504, 2009 | 470 | 2009 |
Serre’s modularity conjecture (II) C Khare, JP Wintenberger Inventiones mathematicae 178 (3), 505-586, 2009 | 337 | 2009 |
Serre's modularity conjecture: the level one case C Khare | 111 | 2006 |
On Serre's conjecture for 2-dimensional mod p representations of Gal (ℚ/ℚ) C Khare, JP Wintenberger Annals of mathematics, 229-253, 2009 | 104* | 2009 |
-local systems on smooth projective curves are potentially automorphic G Böckle, M Harris, C Khare, JA Thorne | 61 | 2019 |
Potential automorphy and the Leopoldt conjecture CB Khare, JA Thorne American Journal of Mathematics 139 (5), 1205-1273, 2017 | 60 | 2017 |
Functoriality and the inverse Galois problem C Khare, M Larsen, G Savin Compositio Mathematica 144 (3), 541-564, 2008 | 55 | 2008 |
Mod representations of arithmetic fundamental groups II: A conjecture of AJ de Jong G Böckle, C Khare Compositio Mathematica 142 (2), 271-294, 2006 | 45 | 2006 |
On isomorphisms between deformation rings and Hecke rings C Khare arXiv preprint math/0211005, 2002 | 42 | 2002 |
Constructing semisimple p-adic Galois representations with prescribed properties C Khare, M Larsen, R Ramakrishna American Journal of Mathematics 127 (4), 709-734, 2005 | 35 | 2005 |
Finiteness of Selmer groups and deformation rings C Khare, R Ramakrishna arXiv preprint math/0211006, 2002 | 32 | 2002 |
Compatible systems of mod Galois representations and Hecke characters C Khare Mathematical Research Letters 10 (1), 71-83, 2003 | 30 | 2003 |
Remarks on mod p forms of weight one C Khare International Mathematics Research Notices 1997 (3), 127-133, 1997 | 30 | 1997 |
Reduction of homomorphisms mod p and algebraicity C Khare, D Prasad Journal of number theory 105 (2), 322-332, 2004 | 29 | 2004 |
A local analysis of congruences in the (p, p) case: Part II C Khare Inventiones mathematicae 143 (1), 129-155, 2001 | 29 | 2001 |
Base change, lifting, and Serre's conjecture C Khare journal of number theory 63 (2), 387-395, 1997 | 28 | 1997 |
Level 1 Hecke algebras of modular forms modulo J Bellaïche, C Khare Compositio Mathematica 151 (3), 397-415, 2015 | 26 | 2015 |
The density of ramified primes in semisimple p-adic Galois representations C Khare, CS Rajan International Mathematics Research Notices 2001 (12), 601-607, 2001 | 24 | 2001 |
Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations N Fakhruddin, C Khare, S Patrikis Duke Mathematical Journal 170 (16), 3505-3599, 2021 | 21 | 2021 |
Serre’s conjecture and its consequences C Khare Japanese Journal of Mathematics 5 (1), 103-125, 2010 | 21 | 2010 |