## Khare, Chandrashekhar

Compute Distance To:
 Author ID: khare.chandrashekhar Published as: Khare, Chandrashekhar; Khare, Chandrashekhar B.; Khare, Chandrasekhar; Khare, C. more...less Homepage: https://www.math.ucla.edu/~shekhar/ External Links: MGP · Wikidata · GND
 Documents Indexed: 67 Publications since 1995 Reviewing Activity: 19 Reviews Co-Authors: 32 Co-Authors with 39 Joint Publications 737 Co-Co-Authors
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### Co-Authors

 28 single-authored 6 Böckle, Gebhard 6 Larsen, Michael Jeffrey 6 Wintenberger, Jean-Pierre 5 Ramakrishna, Ravi 4 Fakhruddin, Najmuddin 4 Thorne, Jack A. 3 Patrikis, Stefan T. 3 Prasad, Dipendra 2 Bellaïche, Joël 2 Rajan, Conjeeveram S. 2 Savin, Gordan 1 Beauville, Arnaud 1 Chenevier, Gaëtan 1 Çiperiani, Mirela 1 Colmez, Pierre 1 Edixhoven, Bas 1 García-Prada, Oscar 1 Harris, Michael Howard 1 Hitchin, Nigel James 1 Joshi, Kirti 1 Kiming, Ian 1 Kumar, Shrawan 1 Lange, Herbert 1 Ling, San 1 Manning, Jeffrey A. 1 Mazur, Barry 1 Nitsure, Nitin 1 Raghunathan, M. S. 1 Ramadas, Trivandrum Ramakrishnan 1 Ramanan, Sundararaman 1 Rubin, Karl Cooper 1 Skinner, Christopher M.
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### Serials

 6 Inventiones Mathematicae 6 Journal of Number Theory 6 Mathematical Research Letters 5 Compositio Mathematica 5 Duke Mathematical Journal 5 IMRN. International Mathematics Research Notices 3 Journal of the Ramanujan Mathematical Society 3 Notices of the American Mathematical Society 2 American Journal of Mathematics 2 Manuscripta Mathematica 2 Proceedings of the American Mathematical Society 1 Acta Mathematica 1 Canadian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal de Théorie des Nombres de Bordeaux 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Sigma
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### Fields

 65 Number theory (11-XX) 11 Algebraic geometry (14-XX) 6 Topological groups, Lie groups (22-XX) 3 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 450 times in 280 Documents Cited by Year
Serre’s modularity conjecture. I. Zbl 1304.11041
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2009
Serre’s modularity conjecture. II. Zbl 1304.11042
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2009
On Serre’s reciprocity conjecture for 2-dimensional mod $$p$$ representations of $$\text{Gal}(\overline{\mathbb Q}/\mathbb Q)$$. Zbl 1196.11076
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2009
Serre’s modularity conjecture: the level one case. Zbl 1105.11013
Khare, Chandrashekhar
2006
Functoriality and the inverse Galois problem. Zbl 1194.11062
Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan
2008
Potential automorphy and the Leopoldt conjecture. Zbl 1404.11076
Khare, Chandrashekhar B.; Thorne, Jack A.
2017
Reduction of homomorphisms mod $$p$$ and algebraicity. Zbl 1080.11046
2004
Compatible systems of mod $$p$$ Galois representations and Hecke characters. Zbl 1023.11026
Khare, Chandrashekhar
2003
On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle). Zbl 1042.11031
Khare, Chandrashekhar
2003
Mod $$\ell$$ representations of arithmetic fundamental groups. II: A conjecture of A. J. de Jong. Zbl 1186.11029
Böckle, Gebhard; Khare, Chandrashekhar
2006
A local analysis of congruences in the $$(p,p)$$ case. II. Zbl 0971.11028
Khare, Chandrashekhar
2001
Remarks on $$\text{mod }p$$ forms of weight one. Zbl 0891.11030
Khare, Chandrashekhar
1997
Constructing semisimple $$p$$-adic Galois representations with prescribed properties. Zbl 1083.11034
Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi
2005
$$\hat{G}$$-local systems on smooth projective curves are potentially automorphic. Zbl 1437.11078
Böckle, Gebhard; Harris, Michael; Khare, Chandrashekhar; Thorne, Jack A.
2019
Finiteness of Selmer groups and deformation rings. Zbl 1104.11026
Khare, Chandrashekhar; Ramakrishna, Ravi
2003
Level 1 Hecke algebras of modular forms modulo $$p$$. Zbl 1328.11046
Bellaïche, Joël; Khare, Chandrashekhar
2015
Lifting $$G$$-irreducible but $$\mathrm{GL}_n$$-reducible Galois representations. Zbl 1466.11028
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan
2020
Base change, lifting, and Serre’s conjecture. Zbl 0877.11057
Khare, Chandrashekhar
1997
Modularity of $$p$$-adic Galois representations via $$p$$-adic approximations. Zbl 1082.11030
Khare, Chandrashekhar
2004
Lifting torsion Galois representations. Zbl 1400.11107
Khare, Chandrashekhar; Ramakrishna, Ravi
2015
Transcendental $$\ell$$-adic Galois representations. Zbl 1134.11023
Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi
2005
Modularity of Galois representations and motives with good reduction properties. Zbl 1192.11036
Khare, Chandrashekhar
2007
Functoriality and the inverse Galois problem. II: Groups of type $$B_n$$ and $$G_2$$. Zbl 1194.11063
Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan
2010
Congruences between cusp forms: The $$(p,p)$$ case. Zbl 0857.11021
Khare, Chandrashekhar
1995
Serre’s conjecture and its consequences. Zbl 1203.11044
Khare, Chandrashekhar
2010
Mod $$\ell$$ representations of arithmetic fundamental groups. I: An analog of Serre’s conjecture for function fields. Zbl 1078.11036
Böckle, Gebhard; Khare, Chandrashekhar
2005
Notes on Ribet’s converse to Herbrand. Zbl 1044.11044
Khare, Chandrashekhar
2000
Reciprocity law for compatible systems of abelian $$\bmod p$$ Galois representations. Zbl 1102.11029
Khare, Chandrashekhar
2005
Ramification in Iwasawa theory and splitting conjectures. Zbl 1307.11117
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2014
The density of ramified primes in semisimple $$p$$-adic Galois representations. Zbl 1043.11049
Khare, Chandrashekhar; Rajan, C. S.
2001
Hasse invariant and group cohomology. Zbl 1044.11030
Edixhoven, Bas; Khare, Chandrashekhar
2003
Serre’s modularity conjecture. Zbl 1306.11044
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2011
Serre’s modularity conjecture: a survey of the level one case. Zbl 1171.11034
Khare, Chandrashekhar
2007
Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations. Zbl 07442561
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan
2021
Conjectures on finiteness of mod $$p$$ Galois representations. Zbl 1017.11028
Khare, Chandrashekhar
2000
On the local Langlands correspondence mod $$\ell$$. Zbl 0974.11021
Khare, Chandrashekhar
2001
On Heegner points of large conductors. Zbl 1067.11033
Khare, C.; Rajan, C. S.
2001
Compatible systems of $$\text{mod } p$$ Galois representations. Zbl 0868.11052
Khare, Chandrashekhar
1996
Correction to “Congruences between cusp forms: The $$(p,p)$$ case”. Zbl 0960.11500
Khare, Chandrashekhar
1996
mod $$p$$ descent for Hilbert modular forms. Zbl 0983.11028
Khare, Chandrashekhar
2000
Limits of residually irreducible $$p$$-adic Galois representations. Zbl 1150.11437
Khare, Chandrashekhar
2003
Mod $$pq$$ Galois representations and Serre’s conjecture. Zbl 1030.11023
Khare, Chandrashekhar; Kiming, Ian
2003
$$F$$-split Galois representations are potentially Abelian. Zbl 1023.11027
Khare, Chandrashekhar
2003
Automorphy of some residually $$S_5$$ Galois representations. Zbl 1420.11081
Khare, Chandrashekhar B.; Thorne, Jack A.
2017
Converging sequences of $$p$$-adic Galois representations and density theorems. Zbl 1091.11017
Bellaïche, Joël; Chenevier, Gaëtan; Khare, Chandrashekhar; Larsen, Michael
2005
Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations. Zbl 07442561
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan
2021
Lifting $$G$$-irreducible but $$\mathrm{GL}_n$$-reducible Galois representations. Zbl 1466.11028
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan
2020
$$\hat{G}$$-local systems on smooth projective curves are potentially automorphic. Zbl 1437.11078
Böckle, Gebhard; Harris, Michael; Khare, Chandrashekhar; Thorne, Jack A.
2019
Potential automorphy and the Leopoldt conjecture. Zbl 1404.11076
Khare, Chandrashekhar B.; Thorne, Jack A.
2017
Automorphy of some residually $$S_5$$ Galois representations. Zbl 1420.11081
Khare, Chandrashekhar B.; Thorne, Jack A.
2017
Level 1 Hecke algebras of modular forms modulo $$p$$. Zbl 1328.11046
Bellaïche, Joël; Khare, Chandrashekhar
2015
Lifting torsion Galois representations. Zbl 1400.11107
Khare, Chandrashekhar; Ramakrishna, Ravi
2015
Ramification in Iwasawa theory and splitting conjectures. Zbl 1307.11117
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2014
Serre’s modularity conjecture. Zbl 1306.11044
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2011
Functoriality and the inverse Galois problem. II: Groups of type $$B_n$$ and $$G_2$$. Zbl 1194.11063
Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan
2010
Serre’s conjecture and its consequences. Zbl 1203.11044
Khare, Chandrashekhar
2010
Serre’s modularity conjecture. I. Zbl 1304.11041
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2009
Serre’s modularity conjecture. II. Zbl 1304.11042
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2009
On Serre’s reciprocity conjecture for 2-dimensional mod $$p$$ representations of $$\text{Gal}(\overline{\mathbb Q}/\mathbb Q)$$. Zbl 1196.11076
Khare, Chandrashekhar; Wintenberger, Jean-Pierre
2009
Functoriality and the inverse Galois problem. Zbl 1194.11062
Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan
2008
Modularity of Galois representations and motives with good reduction properties. Zbl 1192.11036
Khare, Chandrashekhar
2007
Serre’s modularity conjecture: a survey of the level one case. Zbl 1171.11034
Khare, Chandrashekhar
2007
Serre’s modularity conjecture: the level one case. Zbl 1105.11013
Khare, Chandrashekhar
2006
Mod $$\ell$$ representations of arithmetic fundamental groups. II: A conjecture of A. J. de Jong. Zbl 1186.11029
Böckle, Gebhard; Khare, Chandrashekhar
2006
Constructing semisimple $$p$$-adic Galois representations with prescribed properties. Zbl 1083.11034
Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi
2005
Transcendental $$\ell$$-adic Galois representations. Zbl 1134.11023
Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi
2005
Mod $$\ell$$ representations of arithmetic fundamental groups. I: An analog of Serre’s conjecture for function fields. Zbl 1078.11036
Böckle, Gebhard; Khare, Chandrashekhar
2005
Reciprocity law for compatible systems of abelian $$\bmod p$$ Galois representations. Zbl 1102.11029
Khare, Chandrashekhar
2005
Converging sequences of $$p$$-adic Galois representations and density theorems. Zbl 1091.11017
Bellaïche, Joël; Chenevier, Gaëtan; Khare, Chandrashekhar; Larsen, Michael
2005
Reduction of homomorphisms mod $$p$$ and algebraicity. Zbl 1080.11046
2004
Modularity of $$p$$-adic Galois representations via $$p$$-adic approximations. Zbl 1082.11030
Khare, Chandrashekhar
2004
Compatible systems of mod $$p$$ Galois representations and Hecke characters. Zbl 1023.11026
Khare, Chandrashekhar
2003
On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle). Zbl 1042.11031
Khare, Chandrashekhar
2003
Finiteness of Selmer groups and deformation rings. Zbl 1104.11026
Khare, Chandrashekhar; Ramakrishna, Ravi
2003
Hasse invariant and group cohomology. Zbl 1044.11030
Edixhoven, Bas; Khare, Chandrashekhar
2003
Limits of residually irreducible $$p$$-adic Galois representations. Zbl 1150.11437
Khare, Chandrashekhar
2003
Mod $$pq$$ Galois representations and Serre’s conjecture. Zbl 1030.11023
Khare, Chandrashekhar; Kiming, Ian
2003
$$F$$-split Galois representations are potentially Abelian. Zbl 1023.11027
Khare, Chandrashekhar
2003
A local analysis of congruences in the $$(p,p)$$ case. II. Zbl 0971.11028
Khare, Chandrashekhar
2001
The density of ramified primes in semisimple $$p$$-adic Galois representations. Zbl 1043.11049
Khare, Chandrashekhar; Rajan, C. S.
2001
On the local Langlands correspondence mod $$\ell$$. Zbl 0974.11021
Khare, Chandrashekhar
2001
On Heegner points of large conductors. Zbl 1067.11033
Khare, C.; Rajan, C. S.
2001
Notes on Ribet’s converse to Herbrand. Zbl 1044.11044
Khare, Chandrashekhar
2000
Conjectures on finiteness of mod $$p$$ Galois representations. Zbl 1017.11028
Khare, Chandrashekhar
2000
mod $$p$$ descent for Hilbert modular forms. Zbl 0983.11028
Khare, Chandrashekhar
2000
Remarks on $$\text{mod }p$$ forms of weight one. Zbl 0891.11030
Khare, Chandrashekhar
1997
Base change, lifting, and Serre’s conjecture. Zbl 0877.11057
Khare, Chandrashekhar
1997
Compatible systems of $$\text{mod } p$$ Galois representations. Zbl 0868.11052
Khare, Chandrashekhar
1996
Correction to “Congruences between cusp forms: The $$(p,p)$$ case”. Zbl 0960.11500
Khare, Chandrashekhar
1996
Congruences between cusp forms: The $$(p,p)$$ case. Zbl 0857.11021
Khare, Chandrashekhar
1995
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### Cited by 293 Authors

 19 Khare, Chandrashekhar 11 Dieulefait, Luis Victor 11 Gee, Toby 10 Calegari, Frank 9 Thorne, Jack A. 8 Böckle, Gebhard 6 Patrikis, Stefan T. 6 Wiese, Gabor 5 Ash, Avner 4 Arias-de-Reyna, Sara 4 Dembélé, Lassina 4 Doud, Darrin 4 Dummigan, Neil 4 Geraghty, David 4 Newton, James 4 Perucca, Antonella 4 Wong, Peng-Jie 3 Barańczuk, Stefan 3 Bellaïche, Joël 3 Buzzard, Kevin 3 Chenevier, Gaëtan 3 Emerton, Matthew 3 Kisin, Mark 3 Mascot, Nicolas 3 Mazur, Barry 3 Pacetti, Ariel 3 Ramakrishna, Ravi 3 Ray, Anwesh 3 Roberts, David Peter 3 Rotger, Victor 3 Savin, Gordan 3 Schütt, Matthias 3 Siksek, Samir 3 Virdol, Cristian 2 Banaszak, Grzegorz 2 Barnet-Lamb, Thomas 2 Berger, Tobias 2 Bleher, Frauke M. 2 Blinkiewicz, Dorota 2 Boxer, George 2 Bruin, Peter 2 Brumer, Armand 2 Castella, Francesc 2 Centeleghe, Tommaso Giorgio 2 Colmez, Pierre 2 Cynk, Sławomir 2 Darmon, Henri René 2 Deo, Shaunak V. 2 Diamond, Fred 2 Fakhruddin, Najmuddin 2 Ferraguti, Andrea 2 González, Josep R. 2 Hansen, David 2 Herzig, Florian 2 Hida, Haruzo 2 Hoffman, Jerome William 2 Kassaei, Payman L. 2 Kida, Masanari 2 Kim, Henry H. 2 Kiming, Ian 2 Krämer, Thomas 2 Larsen, Michael Jeffrey 2 Lauder, Alan G. B. 2 Li, Wen-Ch’ing Winnie 2 Liu, Tong 2 Long, Ling 2 Manoharmayum, Jayanta 2 Medvedovsky, Anna 2 Muić, Goran 2 Ogasawara, Takeshi 2 Paškūnas, Vytautas 2 Pilloni, Vincent 2 Prasad, Dipendra 2 Rustom, Nadim 2 Savitt, David 2 Shin, Sug Woo 2 Tang, Shiang 2 Ţurcaş, George Cătălin 2 van Straten, Duco 2 Venkatesh, Akshay 2 Voight, John Michael 2 Walji, Nahid 2 Wang, Haohao 2 Wintenberger, Jean-Pierre 2 Yui, Noriko 2 Zenteno, Adrián 1 Allen, Patrick B. 1 Amorós, Laia 1 Anni, Samuele 1 Armana, Cécile 1 Atkin, Arthur Oliver Lonsdale 1 Aubert, Anne-Marie 1 Baldi, Gregorio 1 Bary-Soroker, Lior 1 Bellovin, Rebecca 1 Bennett, Michael A. 1 Bertolini, Massimo 1 Bhatt, Bhargav 1 Billerey, Nicolas 1 Blanco-Chacón, Iván ...and 193 more Authors
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### Cited in 72 Serials

 31 Journal of Number Theory 14 International Journal of Number Theory 13 Compositio Mathematica 13 Duke Mathematical Journal 13 Transactions of the American Mathematical Society 12 Mathematische Zeitschrift 8 Inventiones Mathematicae 8 Journal of Algebra 7 Mathematische Annalen 7 Bulletin of the American Mathematical Society. New Series 6 Mathematics of Computation 6 Advances in Mathematics 6 Proceedings of the American Mathematical Society 6 Journal of the American Mathematical Society 6 Journal de Théorie des Nombres de Bordeaux 6 Forum of Mathematics, Sigma 6 Research in Number Theory 5 Functiones et Approximatio. Commentarii Mathematici 5 Manuscripta Mathematica 5 Revista Matemática Iberoamericana 5 The Ramanujan Journal 5 Journal of the Institute of Mathematics of Jussieu 4 Algebra & Number Theory 4 Annales Mathématiques du Québec 3 Acta Arithmetica 3 Publications Mathématiques 3 Selecta Mathematica. New Series 3 Annals of Mathematics. Second Series 3 Forum of Mathematics, Pi 2 Indian Journal of Pure & Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Tôhoku Mathematical Journal. Second Series 2 Journal of Symbolic Computation 2 Journal of the Ramanujan Mathematical Society 2 Journal of Algebraic Geometry 2 Documenta Mathematica 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Japanese Journal of Mathematics. 3rd Series 2 Journal de l’École Polytechnique – Mathématiques 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 European Mathematical Society Newsletter 1 Taiwanese Journal of Mathematics 1 Journal of Group Theory 1 LMS Journal of Computation and Mathematics 1 Journal of High Energy Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of $$K$$-Theory 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Transactions of the American Mathematical Society. Series B 1 Bulletin of the Hellenic Mathematical Society 1 European Mathematical Society Magazine
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### Cited in 19 Fields

 266 Number theory (11-XX) 65 Algebraic geometry (14-XX) 21 Topological groups, Lie groups (22-XX) 19 Group theory and generalizations (20-XX) 9 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 4 $$K$$-theory (19-XX) 3 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

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