Edit Profile (opens in new tab) Ramakrishna, Ravi Kumar Co-Author Distance Author ID: ramakrishna.ravi-kumar Published as: Ramakrishna, Ravi; Ramakrishna, Ravi Kumar Homepage: https://math.cornell.edu/ravi-ramakrishna External Links: MGP Documents Indexed: 29 Publications since 1993, including 1 Book and 3 Additional arXiv Preprints Co-Authors: 14 Co-Authors with 20 Joint Publications 294 Co-Co-Authors all top 5 Co-Authors 9 single-authored 8 Maire, Christian 7 Hajir, Farshid 5 Khare, Chandrashekhar 4 Long, Ling 3 Larsen, Michael Jeffrey 2 Fuselier, Jenny G. 2 Swisher, Holly 2 Tu, Fang-Ting 1 Chandrashekhar, Khare 1 Fakhruddin, Najmuddin 1 Hamblen, Spencer 1 Lundell, Benjamin E. 1 Mináč, Ján 1 Nguyêñ Duy Tân all top 5 Serials 3 Inventiones Mathematicae 2 Advances in Mathematics 2 American Journal of Mathematics 2 Mathematical Research Letters 2 Annals of Mathematics. Second Series 2 Forum of Mathematics, Sigma 1 Indian Journal of Pure & Applied Mathematics 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Memoirs of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Algebra & Number Theory 1 Annales Mathématiques du Québec Fields 27 Number theory (11-XX) 4 Special functions (33-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 312 times in 227 Documents Cited by ▼ Year ▼ Some supercongruences occurring in truncated hypergeometric series. Zbl 1336.33018 Long, Ling; Ramakrishna, Ravi 80 2016 Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur. Zbl 1076.11035 Ramakrishna, Ravi 46 2002 On a variation of Mazur’s deformation functor. Zbl 0910.11023 Ramakrishna, Ravi 45 1993 Lifting Galois representations. Zbl 0968.11024 Ramakrishna, Ravi 27 1999 Hypergeometric functions over finite fields. Zbl 1443.11254 Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi; Swisher, Holly; Tu, Fang-Ting 23 2019 Constructing semisimple \(p\)-adic Galois representations with prescribed properties. Zbl 1083.11034 Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 11 2005 Deformations of certain reducible Galois representations. II. Zbl 1218.11055 Hamblen, Spencer; Ramakrishna, Ravi 10 2008 Finiteness of Selmer groups and deformation rings. Zbl 1104.11026 Khare, Chandrashekhar; Ramakrishna, Ravi 10 2003 Infinite class field towers of number fields of prime power discriminant. Zbl 1469.11440 Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi 8 2020 Transcendental \(\ell\)-adic Galois representations. Zbl 1134.11023 Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 7 2005 Infinitely ramified Galois representations. Zbl 1078.11510 Ramakrishna, Ravi 7 2000 Lifting torsion Galois representations. Zbl 1400.11107 Khare, Chandrashekhar; Ramakrishna, Ravi 6 2015 Deforming an even representation. Zbl 0936.11036 Ramakrishna, Ravi 6 1998 Hypergeometric functions over finite fields. Zbl 1510.11164 Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi Kumar; Swisher, Holly; Tu, Fang-Ting 6 2022 Cutting towers of number fields. Zbl 1483.11246 Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi 5 2021 Constructing Galois representations with very large image. Zbl 1197.11062 Ramakrishna, Ravi 5 2008 Maps to weight space in Hida families. Zbl 1365.11067 Ramakrishna, Ravi 3 2014 On the Shafarevich group of restricted ramification extensions of number fields in the tame case. Zbl 1516.11108 Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi 3 2021 Deforming an even representation. II: Raising the level. Zbl 1036.11510 Ramakrishna, Ravi 3 1998 Quantitative level lowering for Galois representations. Zbl 1480.11068 Fakhruddin, Najmuddin; Khare, Chandrashekhar; Ramakrishna, Ravi 1 2021 Hypergeometric functions over finite fields. Zbl 1510.11164 Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi Kumar; Swisher, Holly; Tu, Fang-Ting 6 2022 Cutting towers of number fields. Zbl 1483.11246 Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi 5 2021 On the Shafarevich group of restricted ramification extensions of number fields in the tame case. Zbl 1516.11108 Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi 3 2021 Quantitative level lowering for Galois representations. Zbl 1480.11068 Fakhruddin, Najmuddin; Khare, Chandrashekhar; Ramakrishna, Ravi 1 2021 Infinite class field towers of number fields of prime power discriminant. Zbl 1469.11440 Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi 8 2020 Hypergeometric functions over finite fields. Zbl 1443.11254 Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi; Swisher, Holly; Tu, Fang-Ting 23 2019 Some supercongruences occurring in truncated hypergeometric series. Zbl 1336.33018 Long, Ling; Ramakrishna, Ravi 80 2016 Lifting torsion Galois representations. Zbl 1400.11107 Khare, Chandrashekhar; Ramakrishna, Ravi 6 2015 Maps to weight space in Hida families. Zbl 1365.11067 Ramakrishna, Ravi 3 2014 Deformations of certain reducible Galois representations. II. Zbl 1218.11055 Hamblen, Spencer; Ramakrishna, Ravi 10 2008 Constructing Galois representations with very large image. Zbl 1197.11062 Ramakrishna, Ravi 5 2008 Constructing semisimple \(p\)-adic Galois representations with prescribed properties. Zbl 1083.11034 Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 11 2005 Transcendental \(\ell\)-adic Galois representations. Zbl 1134.11023 Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 7 2005 Finiteness of Selmer groups and deformation rings. Zbl 1104.11026 Khare, Chandrashekhar; Ramakrishna, Ravi 10 2003 Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur. Zbl 1076.11035 Ramakrishna, Ravi 46 2002 Infinitely ramified Galois representations. Zbl 1078.11510 Ramakrishna, Ravi 7 2000 Lifting Galois representations. Zbl 0968.11024 Ramakrishna, Ravi 27 1999 Deforming an even representation. Zbl 0936.11036 Ramakrishna, Ravi 6 1998 Deforming an even representation. II: Raising the level. Zbl 1036.11510 Ramakrishna, Ravi 3 1998 On a variation of Mazur’s deformation functor. Zbl 0910.11023 Ramakrishna, Ravi 45 1993 all cited Publications top 5 cited Publications all top 5 Cited by 179 Authors 19 Guo, Victor J. W. 14 Khare, Chandrashekhar 11 Kalita, Gautam 10 Böckle, Gebhard 10 Ramakrishna, Ravi Kumar 9 Liu, Jicai 8 Jana, Arijit 8 Long, Ling 8 Ray, Anwesh 7 Barman, Rupam 7 Calegari, Frank 7 Tripathi, Mohit 7 Tu, Fang-Ting 6 Gee, Toby 6 He, Bing 6 Mao, Guo-Shuai 6 Patrikis, Stefan T. 6 Wei, Chuanan 5 Swisher, Holly 5 Wang, Xiaoxia 4 Fakhruddin, Najmuddin 4 Liu, Tong 4 Liu, Yudong 4 Schlosser, Michael J. 4 Zudilin, Wadim 3 Booher, Jeremy 3 Chetry, Arjun Singh 3 Emerton, Matthew 3 Evans, Ronald J. 3 Kisin, Mark 3 Maire, Christian 3 Pan, Hao 3 Virdol, Cristian 3 Wang-Erickson, Carl 2 Azharuddin, Shaik 2 Conrad, Brian 2 Deo, Shaunak V. 2 Frechette, Sharon M. 2 Fuselier, Jenny G. 2 Gajda, Wojciech 2 Gao, Hui 2 Gras, Georges 2 Greene, John 2 Harris, Michael Howard 2 Hellmann, Eugen 2 Klosin, Krzysztof 2 Levin, Brandon 2 Liu, Yan 2 Liu, Yuan 2 Manning, Jeffrey A. 2 Manoharmayum, Jayanta 2 Ni, He-Xia 2 Osburn, Robert 2 Otsubo, Noriyuki 2 Petersen, Sebastian 2 Saha, Jyoti Prakash 2 Saikia, Neelam 2 Tang, Shiang 2 Tauraso, Roberto 2 Taylor, Richard 2 Wake, Preston 2 Wang, Chen 2 Wang, Liyuan 2 Wood, Melanie Matchett 2 Zureick-Brown, David 1 Barnet-Lamb, Thomas 1 Belabas, Karim 1 Bellovin, Rebecca 1 Berger, Tobias 1 Bhattacharyya, Arindam 1 Böge, Sigrid 1 Boxer, George 1 Camporino, Maximiliano 1 Chandrashekhar, Khare 1 Chen, Miaofen 1 Childers, Kevin 1 Clozel, Laurent 1 Coates, John Henry 1 De Clercq, Charles 1 Diamond, Fred 1 Dieulefait, Luis Victor 1 Doran, Charles F. 1 Dummigan, Neil 1 Fang, Jianping 1 Florence, Mathieu 1 Furusho, Hidekazu 1 Généreux, Xavier 1 Geraghty, David 1 Goodson, Heidi 1 Gu, Chengyang 1 Guiraud, David-Alexandre 1 Guo, Li 1 Hachimori, Yoshitaka 1 Hajir, Farshid 1 Hamza, Oussama 1 Hatley, Jeffrey 1 He, Haihong 1 Herzig, Florian 1 Hida, Haruzo 1 İkeda, Kâzım İlhan ...and 79 more Authors all top 5 Cited in 74 Serials 26 Journal of Number Theory 13 Results in Mathematics 12 The Ramanujan Journal 11 Inventiones Mathematicae 10 Proceedings of the American Mathematical Society 10 Research in Number Theory 9 Journal of Mathematical Analysis and Applications 9 International Journal of Number Theory 7 Duke Mathematical Journal 6 Research in the Mathematical Sciences 4 Journal de Théorie des Nombres de Bordeaux 4 Finite Fields and their Applications 4 Algebra & Number Theory 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Forum of Mathematics, Sigma 3 Compositio Mathematica 3 Journal of Combinatorial Theory. Series A 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Annalen 3 Journal of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Documenta Mathematica 3 Journal of the Institute of Mathematics of Jussieu 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Colloquium Mathematicum 2 Publications Mathématiques 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Integral Transforms and Special Functions 2 Annales Mathématiques du Québec 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Acta Arithmetica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Hokkaido Mathematical Journal 1 Journal of Algebra 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Constructive Approximation 1 Journal of the Ramanujan Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Algebraic Geometry 1 Bulletin des Sciences Mathématiques 1 Taiwanese Journal of Mathematics 1 Journal of Group Theory 1 Revista Matemática Complutense 1 Journal of Mathematical Study 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Japanese Journal of Mathematics. 3rd Series 1 Tunisian Journal of Mathematics 1 Electronic Research Archive 1 La Matematica 1 Essential Number Theory all top 5 Cited in 13 Fields 222 Number theory (11-XX) 96 Special functions (33-XX) 28 Algebraic geometry (14-XX) 23 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 3 Integral transforms, operational calculus (44-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 Computer science (68-XX) Citations by Year