Edit Profile (opens in new tab) Khare, Chandrashekhar Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 450 times in 280 Documents Cited by ▼ Year ▼ Serre’s modularity conjecture. I. Zbl 1304.11041Khare, Chandrashekhar; Wintenberger, Jean-Pierre 119 2009 Serre’s modularity conjecture. II. Zbl 1304.11042Khare, Chandrashekhar; Wintenberger, Jean-Pierre 89 2009 On Serre’s reciprocity conjecture for 2-dimensional mod \(p\) representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\). Zbl 1196.11076Khare, Chandrashekhar; Wintenberger, Jean-Pierre 29 2009 Serre’s modularity conjecture: the level one case. Zbl 1105.11013Khare, Chandrashekhar 24 2006 Functoriality and the inverse Galois problem. Zbl 1194.11062Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan 14 2008 Potential automorphy and the Leopoldt conjecture. Zbl 1404.11076Khare, Chandrashekhar B.; Thorne, Jack A. 11 2017 Reduction of homomorphisms mod \(p\) and algebraicity. Zbl 1080.11046Khare, Chandrashekhar; Prasad, Dipendra 10 2004 Compatible systems of mod \(p\) Galois representations and Hecke characters. Zbl 1023.11026Khare, Chandrashekhar 9 2003 On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle). Zbl 1042.11031Khare, Chandrashekhar 9 2003 Mod \(\ell\) representations of arithmetic fundamental groups. II: A conjecture of A. J. de Jong. Zbl 1186.11029Böckle, Gebhard; Khare, Chandrashekhar 9 2006 A local analysis of congruences in the \((p,p)\) case. II. Zbl 0971.11028Khare, Chandrashekhar 8 2001 Remarks on \(\text{mod }p\) forms of weight one. Zbl 0891.11030Khare, Chandrashekhar 8 1997 Constructing semisimple \(p\)-adic Galois representations with prescribed properties. Zbl 1083.11034Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 8 2005 \(\hat{G}\)-local systems on smooth projective curves are potentially automorphic. Zbl 1437.11078Böckle, Gebhard; Harris, Michael; Khare, Chandrashekhar; Thorne, Jack A. 8 2019 Finiteness of Selmer groups and deformation rings. Zbl 1104.11026Khare, Chandrashekhar; Ramakrishna, Ravi 7 2003 Level 1 Hecke algebras of modular forms modulo \(p\). Zbl 1328.11046Bellaïche, Joël; Khare, Chandrashekhar 7 2015 Lifting \(G\)-irreducible but \(\mathrm{GL}_n\)-reducible Galois representations. Zbl 1466.11028Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan 6 2020 Base change, lifting, and Serre’s conjecture. Zbl 0877.11057Khare, Chandrashekhar 6 1997 Modularity of \(p\)-adic Galois representations via \(p\)-adic approximations. Zbl 1082.11030Khare, Chandrashekhar 6 2004 Lifting torsion Galois representations. Zbl 1400.11107Khare, Chandrashekhar; Ramakrishna, Ravi 6 2015 Transcendental \(\ell\)-adic Galois representations. Zbl 1134.11023Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 6 2005 Modularity of Galois representations and motives with good reduction properties. Zbl 1192.11036Khare, Chandrashekhar 5 2007 Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\). Zbl 1194.11063Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan 5 2010 Congruences between cusp forms: The \((p,p)\) case. Zbl 0857.11021Khare, Chandrashekhar 4 1995 Serre’s conjecture and its consequences. Zbl 1203.11044Khare, Chandrashekhar 4 2010 Mod \(\ell\) representations of arithmetic fundamental groups. I: An analog of Serre’s conjecture for function fields. Zbl 1078.11036Böckle, Gebhard; Khare, Chandrashekhar 3 2005 Notes on Ribet’s converse to Herbrand. Zbl 1044.11044Khare, Chandrashekhar 3 2000 Reciprocity law for compatible systems of abelian \(\bmod p\) Galois representations. Zbl 1102.11029Khare, Chandrashekhar 3 2005 Ramification in Iwasawa theory and splitting conjectures. Zbl 1307.11117Khare, Chandrashekhar; Wintenberger, Jean-Pierre 3 2014 The density of ramified primes in semisimple \(p\)-adic Galois representations. Zbl 1043.11049Khare, Chandrashekhar; Rajan, C. S. 2 2001 Hasse invariant and group cohomology. Zbl 1044.11030Edixhoven, Bas; Khare, Chandrashekhar 2 2003 Serre’s modularity conjecture. Zbl 1306.11044Khare, Chandrashekhar; Wintenberger, Jean-Pierre 2 2011 Serre’s modularity conjecture: a survey of the level one case. Zbl 1171.11034Khare, Chandrashekhar 2 2007 Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations. Zbl 07442561Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan 2 2021 Conjectures on finiteness of mod \(p\) Galois representations. Zbl 1017.11028Khare, Chandrashekhar 1 2000 On the local Langlands correspondence mod \(\ell\). Zbl 0974.11021Khare, Chandrashekhar 1 2001 On Heegner points of large conductors. Zbl 1067.11033Khare, C.; Rajan, C. S. 1 2001 Compatible systems of \(\text{mod } p\) Galois representations. Zbl 0868.11052Khare, Chandrashekhar 1 1996 Correction to “Congruences between cusp forms: The \((p,p)\) case”. Zbl 0960.11500Khare, Chandrashekhar 1 1996 mod \(p\) descent for Hilbert modular forms. Zbl 0983.11028Khare, Chandrashekhar 1 2000 Limits of residually irreducible \(p\)-adic Galois representations. Zbl 1150.11437Khare, Chandrashekhar 1 2003 Mod \(pq\) Galois representations and Serre’s conjecture. Zbl 1030.11023Khare, Chandrashekhar; Kiming, Ian 1 2003 \(F\)-split Galois representations are potentially Abelian. Zbl 1023.11027Khare, Chandrashekhar 1 2003 Automorphy of some residually \(S_5\) Galois representations. Zbl 1420.11081Khare, Chandrashekhar B.; Thorne, Jack A. 1 2017 Converging sequences of \(p\)-adic Galois representations and density theorems. Zbl 1091.11017Bellaïche, Joël; Chenevier, Gaëtan; Khare, Chandrashekhar; Larsen, Michael 1 2005 Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations. Zbl 07442561Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan 2 2021 Lifting \(G\)-irreducible but \(\mathrm{GL}_n\)-reducible Galois representations. Zbl 1466.11028Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan 6 2020 \(\hat{G}\)-local systems on smooth projective curves are potentially automorphic. Zbl 1437.11078Böckle, Gebhard; Harris, Michael; Khare, Chandrashekhar; Thorne, Jack A. 8 2019 Potential automorphy and the Leopoldt conjecture. Zbl 1404.11076Khare, Chandrashekhar B.; Thorne, Jack A. 11 2017 Automorphy of some residually \(S_5\) Galois representations. Zbl 1420.11081Khare, Chandrashekhar B.; Thorne, Jack A. 1 2017 Level 1 Hecke algebras of modular forms modulo \(p\). Zbl 1328.11046Bellaïche, Joël; Khare, Chandrashekhar 7 2015 Lifting torsion Galois representations. Zbl 1400.11107Khare, Chandrashekhar; Ramakrishna, Ravi 6 2015 Ramification in Iwasawa theory and splitting conjectures. Zbl 1307.11117Khare, Chandrashekhar; Wintenberger, Jean-Pierre 3 2014 Serre’s modularity conjecture. Zbl 1306.11044Khare, Chandrashekhar; Wintenberger, Jean-Pierre 2 2011 Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\). Zbl 1194.11063Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan 5 2010 Serre’s conjecture and its consequences. Zbl 1203.11044Khare, Chandrashekhar 4 2010 Serre’s modularity conjecture. I. Zbl 1304.11041Khare, Chandrashekhar; Wintenberger, Jean-Pierre 119 2009 Serre’s modularity conjecture. II. Zbl 1304.11042Khare, Chandrashekhar; Wintenberger, Jean-Pierre 89 2009 On Serre’s reciprocity conjecture for 2-dimensional mod \(p\) representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\). Zbl 1196.11076Khare, Chandrashekhar; Wintenberger, Jean-Pierre 29 2009 Functoriality and the inverse Galois problem. Zbl 1194.11062Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan 14 2008 Modularity of Galois representations and motives with good reduction properties. Zbl 1192.11036Khare, Chandrashekhar 5 2007 Serre’s modularity conjecture: a survey of the level one case. Zbl 1171.11034Khare, Chandrashekhar 2 2007 Serre’s modularity conjecture: the level one case. Zbl 1105.11013Khare, Chandrashekhar 24 2006 Mod \(\ell\) representations of arithmetic fundamental groups. II: A conjecture of A. J. de Jong. Zbl 1186.11029Böckle, Gebhard; Khare, Chandrashekhar 9 2006 Constructing semisimple \(p\)-adic Galois representations with prescribed properties. Zbl 1083.11034Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 8 2005 Transcendental \(\ell\)-adic Galois representations. Zbl 1134.11023Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 6 2005 Mod \(\ell\) representations of arithmetic fundamental groups. I: An analog of Serre’s conjecture for function fields. Zbl 1078.11036Böckle, Gebhard; Khare, Chandrashekhar 3 2005 Reciprocity law for compatible systems of abelian \(\bmod p\) Galois representations. Zbl 1102.11029Khare, Chandrashekhar 3 2005 Converging sequences of \(p\)-adic Galois representations and density theorems. Zbl 1091.11017Bellaïche, Joël; Chenevier, Gaëtan; Khare, Chandrashekhar; Larsen, Michael 1 2005 Reduction of homomorphisms mod \(p\) and algebraicity. Zbl 1080.11046Khare, Chandrashekhar; Prasad, Dipendra 10 2004 Modularity of \(p\)-adic Galois representations via \(p\)-adic approximations. Zbl 1082.11030Khare, Chandrashekhar 6 2004 Compatible systems of mod \(p\) Galois representations and Hecke characters. Zbl 1023.11026Khare, Chandrashekhar 9 2003 On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle). Zbl 1042.11031Khare, Chandrashekhar 9 2003 Finiteness of Selmer groups and deformation rings. Zbl 1104.11026Khare, Chandrashekhar; Ramakrishna, Ravi 7 2003 Hasse invariant and group cohomology. Zbl 1044.11030Edixhoven, Bas; Khare, Chandrashekhar 2 2003 Limits of residually irreducible \(p\)-adic Galois representations. Zbl 1150.11437Khare, Chandrashekhar 1 2003 Mod \(pq\) Galois representations and Serre’s conjecture. Zbl 1030.11023Khare, Chandrashekhar; Kiming, Ian 1 2003 \(F\)-split Galois representations are potentially Abelian. Zbl 1023.11027Khare, Chandrashekhar 1 2003 A local analysis of congruences in the \((p,p)\) case. II. Zbl 0971.11028Khare, Chandrashekhar 8 2001 The density of ramified primes in semisimple \(p\)-adic Galois representations. Zbl 1043.11049Khare, Chandrashekhar; Rajan, C. S. 2 2001 On the local Langlands correspondence mod \(\ell\). Zbl 0974.11021Khare, Chandrashekhar 1 2001 On Heegner points of large conductors. Zbl 1067.11033Khare, C.; Rajan, C. S. 1 2001 Notes on Ribet’s converse to Herbrand. Zbl 1044.11044Khare, Chandrashekhar 3 2000 Conjectures on finiteness of mod \(p\) Galois representations. Zbl 1017.11028Khare, Chandrashekhar 1 2000 mod \(p\) descent for Hilbert modular forms. Zbl 0983.11028Khare, Chandrashekhar 1 2000 Remarks on \(\text{mod }p\) forms of weight one. Zbl 0891.11030Khare, Chandrashekhar 8 1997 Base change, lifting, and Serre’s conjecture. Zbl 0877.11057Khare, Chandrashekhar 6 1997 Compatible systems of \(\text{mod } p\) Galois representations. Zbl 0868.11052Khare, Chandrashekhar 1 1996 Correction to “Congruences between cusp forms: The \((p,p)\) case”. Zbl 0960.11500Khare, Chandrashekhar 1 1996 Congruences between cusp forms: The \((p,p)\) case. Zbl 0857.11021Khare, Chandrashekhar 4 1995 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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