Edit Profile Raghunathan, Madabusi Santanam Compute Distance To: Compute Author ID: raghunathan.madabusi-santanam Published as: Raghunathan, M. S. External Links: MGP · Wikidata · GND Documents Indexed: 61 Publications since 1963, including 2 Books Biographic References: 1 Publication all top 5 Co-Authors 42 single-authored 6 Prasad, Gopal 2 Garland, Howard 2 Lubotzky, Alexander 2 Millson, John J. 2 Mozes, Shahar 2 Venkataramana, Tyakal Nanjundiah 1 Borel, Armand 1 Chandra, Premala 1 Chidambaram, R. 1 Farrell, F. Thomas 1 Göttsche, Lothar 1 Harder, Günter 1 Mani, H. S. 1 Nori, Madhav V. 1 Ontaneda, Pedro 1 Rai, Shesh N. 1 Ramanathan, Annamalai 1 Seshadri, Conjeeveram Srirangachari all top 5 Serials 6 Inventiones Mathematicae 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Annals of Mathematics. Second Series 4 Mathematische Annalen 2 American Journal of Mathematics 2 Publications Mathématiques 2 Osaka Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Reviews in Mathematical Physics 1 Commentarii Mathematici Helvetici 1 Journal of Differential Geometry 1 The Journal of the Indian Mathematical Society. New Series 1 The Mathematics Student 1 Pacific Journal of Mathematics 1 Topology 1 Journal of the Ramanujan Mathematical Society 1 National Academy Science Letters 1 Proceedings of the National Academy of Sciences of the United States of America 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Journal of Mathematics and Mechanics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 ICPT Lecture Notes 1 Mathematics Newsletter all top 5 Fields 27 Topological groups, Lie groups (22-XX) 21 Group theory and generalizations (20-XX) 11 Algebraic geometry (14-XX) 7 Number theory (11-XX) 4 Algebraic topology (55-XX) 3 History and biography (01-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 1,150 times in 946 Documents Cited by ▼ Year ▼ Discrete subgroups of Lie groups. Zbl 0254.22005Raghunathan, M. S. 498 1972 A proof of Oseledec’s multiplicative ergodic theorem. Zbl 0415.28013Raghunathan, M. S. 77 1979 Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups. Zbl 0206.03603Garland, H.; Raghunathan, M. S. 72 1970 The word and Riemannian metrics on lattices of semisimple groups. Zbl 0988.22007Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S. 50 2000 Cartan subgroups and lattices in semi-simple groups. Zbl 0245.22013Prasad, Gopal; Raghunathan, M. S. 48 1972 On the congruence subgroup problem. Zbl 0347.20027Raghunathan, M. S. 36 1976 Topological central extensions of semi-simple groups over local fields. I, II. Zbl 0552.20025Prasad, Gopal; Raghunathan, M. S. 33 1984 A note on quotients of real algebraic groups by arithmetic subgroups. Zbl 0218.22015Raghunathan, M. S. 25 1968 On the first cohomology of discrete subgroups of semisimple Lie groups. Zbl 0132.02102Raghunathan, M. S. 25 1965 Cohomology of arithmetic subgroups of algebraic groups. I. Zbl 0157.06802Raghunathan, M. S. 19 1967 The congruence subgroup problem. Zbl 1086.20024Raghunathan, M. S. 18 2004 Principal bundles on the affine line. Zbl 0587.14007Raghunathan, M. S.; Ramanathan, A. 17 1984 Cyclic subgroups of exponential growth and metrics on discrete groups. Zbl 0786.22016Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S. 15 1993 A note on generators for arithmetic subgroups of algebraic groups. Zbl 0793.20045Raghunathan, M. S. 15 1992 On the congruence subgroup problem: Determination of the ”Metaplectic kernel”. Zbl 0517.20021Prasad, Gopal; Raghunathan, M. S. 15 1983 Geometric construction of cohomology for arithmetic groups. I. Zbl 0524.22012Millson, John J.; Raghunathan, M. S. 15 1981 On the Kneser-Tits problem. Zbl 0574.20033Prasad, Gopal; Raghunathan, M. S. 14 1985 On the congruence subgroup problem. II. Zbl 0603.20044Raghunathan, M. S. 13 1986 Principal bundles on affine space. Zbl 0417.14037Raghunathan, M. S. 13 1978 Torsion in cocompact lattices in coverings of Spin(2,n). Zbl 0513.22008Raghunathan, M. S. 12 1984 On the group of norm 1 elements in a division algebra. Zbl 0639.20026Raghunathan, M. S. 10 1988 Discrete subgroups of algebraic groups over local fields of positive characteristics. Zbl 0689.22004Raghunathan, M. S. 9 1989 Principal bundles on affine space and bundles on the projective line. Zbl 0661.14016Raghunathan, M. S. 9 1989 Cohomology of arithmetic subgroups of algebraic groups. II. Zbl 0157.06803Raghunathan, M. S. 9 1968 Tori in quasi-split groups. Zbl 1080.20042Raghunathan, M. S. 7 2004 Universal central extensions. Zbl 0841.20032Raghunathan, M. S. 7 1994 Principal bundles admitting a rational section. Zbl 0807.14012Raghunathan, M. S. 7 1994 Topological central extensions of \(\text{SL}_1(D)\). Zbl 0701.20024Prasad, Gopal; Raghunathan, M. S. 7 1988 Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups. Zbl 0145.43702Raghunathan, M. S. 7 1966 The first Betti number of arithmetic groups and the congruence subgroup problem. Zbl 0801.22006Raghunathan, M. S.; Venkataramana, T. N. 6 1993 Discrete subgroups of Lie groups. Zbl 1193.22011Raghunathan, M. S. 5 2007 Non-univalent harmonic maps homotopic to diffeomorphisms. Zbl 1035.58014Farrell, F. T.; Ontaneda, P.; Raghunathan, M. S. 4 2000 Geometric construction of cohomology for arithmetic groups. I. Zbl 0514.22007Millson, John J.; Raghunathan, M. S. 4 1981 A note on orbits of reductive groups. Zbl 0365.20048Raghunathan, M. S. 4 1975 Fundamental domains for lattices in rank one semisimple Lie groups. Zbl 0174.05603Garland, H.; Raghunathan, M. S. 4 1969 Erratum: Principal bundles admitting a rational section. Zbl 0829.14009Raghunathan, M. S. 3 1995 The congruence subgroup problem. Zbl 0819.20054Raghunathan, M. S. 3 1991 Arithmetic lattices in semisimple groups. Zbl 0491.22006Raghunathan, M. S. 3 1982 Discrete groups and Q-structures on semi-simple Lie groups. Zbl 0318.22012Raghunathan, M. S. 3 1975 The first Betti number of compact locally symmetric spaces. Zbl 0879.11027Raghunathan, M. S. 2 1995 Corrigendum: “Torsion in cocompact lattices in coverings of \(\text{spin }(2, n)\)”. Zbl 0836.22015Raghunathan, M. S. 2 1995 On conjugation of locally symmetric arithmetic varieties. Zbl 0842.14014Nori, M. V.; Raghunathan, M. S. 2 1993 Corrections to ”Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups”. Zbl 0402.22009Raghunathan, M. S. 2 1979 Tame subgroup of a semisimple group over a local field. Zbl 0566.20024Prasad, Gopal; Raghunathan, M. S. 1 1983 Discrete subgroups of Lie groups. Zbl 1193.22011Raghunathan, M. S. 5 2007 The congruence subgroup problem. Zbl 1086.20024Raghunathan, M. S. 18 2004 Tori in quasi-split groups. Zbl 1080.20042Raghunathan, M. S. 7 2004 The word and Riemannian metrics on lattices of semisimple groups. Zbl 0988.22007Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S. 50 2000 Non-univalent harmonic maps homotopic to diffeomorphisms. Zbl 1035.58014Farrell, F. T.; Ontaneda, P.; Raghunathan, M. S. 4 2000 Erratum: Principal bundles admitting a rational section. Zbl 0829.14009Raghunathan, M. S. 3 1995 The first Betti number of compact locally symmetric spaces. Zbl 0879.11027Raghunathan, M. S. 2 1995 Corrigendum: “Torsion in cocompact lattices in coverings of \(\text{spin }(2, n)\)”. Zbl 0836.22015Raghunathan, M. S. 2 1995 Universal central extensions. Zbl 0841.20032Raghunathan, M. S. 7 1994 Principal bundles admitting a rational section. Zbl 0807.14012Raghunathan, M. S. 7 1994 Cyclic subgroups of exponential growth and metrics on discrete groups. Zbl 0786.22016Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S. 15 1993 The first Betti number of arithmetic groups and the congruence subgroup problem. Zbl 0801.22006Raghunathan, M. S.; Venkataramana, T. N. 6 1993 On conjugation of locally symmetric arithmetic varieties. Zbl 0842.14014Nori, M. V.; Raghunathan, M. S. 2 1993 A note on generators for arithmetic subgroups of algebraic groups. Zbl 0793.20045Raghunathan, M. S. 15 1992 The congruence subgroup problem. Zbl 0819.20054Raghunathan, M. S. 3 1991 Discrete subgroups of algebraic groups over local fields of positive characteristics. Zbl 0689.22004Raghunathan, M. S. 9 1989 Principal bundles on affine space and bundles on the projective line. Zbl 0661.14016Raghunathan, M. S. 9 1989 On the group of norm 1 elements in a division algebra. Zbl 0639.20026Raghunathan, M. S. 10 1988 Topological central extensions of \(\text{SL}_1(D)\). Zbl 0701.20024Prasad, Gopal; Raghunathan, M. S. 7 1988 On the congruence subgroup problem. II. Zbl 0603.20044Raghunathan, M. S. 13 1986 On the Kneser-Tits problem. Zbl 0574.20033Prasad, Gopal; Raghunathan, M. S. 14 1985 Topological central extensions of semi-simple groups over local fields. I, II. Zbl 0552.20025Prasad, Gopal; Raghunathan, M. S. 33 1984 Principal bundles on the affine line. Zbl 0587.14007Raghunathan, M. S.; Ramanathan, A. 17 1984 Torsion in cocompact lattices in coverings of Spin(2,n). Zbl 0513.22008Raghunathan, M. S. 12 1984 On the congruence subgroup problem: Determination of the ”Metaplectic kernel”. Zbl 0517.20021Prasad, Gopal; Raghunathan, M. S. 15 1983 Tame subgroup of a semisimple group over a local field. Zbl 0566.20024Prasad, Gopal; Raghunathan, M. S. 1 1983 Arithmetic lattices in semisimple groups. Zbl 0491.22006Raghunathan, M. S. 3 1982 Geometric construction of cohomology for arithmetic groups. I. Zbl 0524.22012Millson, John J.; Raghunathan, M. S. 15 1981 Geometric construction of cohomology for arithmetic groups. I. Zbl 0514.22007Millson, John J.; Raghunathan, M. S. 4 1981 A proof of Oseledec’s multiplicative ergodic theorem. Zbl 0415.28013Raghunathan, M. S. 77 1979 Corrections to ”Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups”. Zbl 0402.22009Raghunathan, M. S. 2 1979 Principal bundles on affine space. Zbl 0417.14037Raghunathan, M. S. 13 1978 On the congruence subgroup problem. Zbl 0347.20027Raghunathan, M. S. 36 1976 A note on orbits of reductive groups. Zbl 0365.20048Raghunathan, M. S. 4 1975 Discrete groups and Q-structures on semi-simple Lie groups. Zbl 0318.22012Raghunathan, M. S. 3 1975 Discrete subgroups of Lie groups. Zbl 0254.22005Raghunathan, M. S. 498 1972 Cartan subgroups and lattices in semi-simple groups. Zbl 0245.22013Prasad, Gopal; Raghunathan, M. S. 48 1972 Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups. Zbl 0206.03603Garland, H.; Raghunathan, M. S. 72 1970 Fundamental domains for lattices in rank one semisimple Lie groups. Zbl 0174.05603Garland, H.; Raghunathan, M. S. 4 1969 A note on quotients of real algebraic groups by arithmetic subgroups. Zbl 0218.22015Raghunathan, M. S. 25 1968 Cohomology of arithmetic subgroups of algebraic groups. II. Zbl 0157.06803Raghunathan, M. S. 9 1968 Cohomology of arithmetic subgroups of algebraic groups. I. Zbl 0157.06802Raghunathan, M. S. 19 1967 Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups. Zbl 0145.43702Raghunathan, M. S. 7 1966 On the first cohomology of discrete subgroups of semisimple Lie groups. Zbl 0132.02102Raghunathan, M. S. 25 1965 all cited Publications top 5 cited Publications all top 5 Cited by 873 Authors 21 Lubotzky, Alexander 13 Dani, Shrikrishna Gopalrao 13 Gelander, Tsachik 13 Margulis, Grigoriĭ Aleksandrovich 12 Rapinchuk, Andrei S. 11 Prasad, Gopal 11 Raghunathan, Madabusi Santanam 10 Caprace, Pierre-Emmanuel 10 Kasuya, Hisashi 10 Venkataramana, Tyakal Nanjundiah 10 Witte Morris, Dave 8 Biswas, Indranil 8 Goldman, William M. 8 Johnson, Francis E. A. 7 Breuillard, Emmanuel 7 Gille, Philippe 7 Grunewald, Fritz J. 7 Guivarc’h, Yves 7 Mozes, Shahar 7 Oh, Hee 7 Ruelle, David Pierre 7 Shah, Nimish A. 7 Soifer, Grigoriĭ Aleksandrovich 7 Zimmer, Robert J. 6 Benoist, Yves 6 Einsiedler, Manfred Leopold 6 Ji, Lizhen 6 Kamishima, Yoshinobu 6 Leuzinger, Enrico 6 McReynolds, David Ben 6 Monod, Nicolas 6 Pianzola, Arturo 6 Sury, Balasubramanian 6 Wortman, Kevin A. 5 Bader, Uri 5 Farrell, F. Thomas 5 González-Tokman, Cecilia 5 Gorbatsevich, Vladimir V. 5 Hamrouni, Hatem 5 Lifschitz, Lucy 5 Marklof, Jens 5 Moskowitz, Martin A. 5 Nguyễn Quôc Thăng 4 Avni, Nir 4 Burger, Marc 4 Chernousov, Vladimir I. 4 Eberlein, Patrick B. 4 Eskin, Alex 4 Farb, Benson 4 Furman, Alex 4 Gencay, Ramazan 4 Gorodnik, Alexander 4 Hoffmann, Werner 4 Kapovich, Michael 4 Le Boudec, Adrien 4 Lindenstrauss, Elon 4 Millson, John J. 4 Panin, Ivan A. 4 Parker, John R. 4 Platonov, Vladimir Petrovich 4 Pohl, Anke D. 4 Quas, Anthony Nicholas 4 Quint, Jean-François 4 Rémy, Bertrand 4 Salehi Golsefidy, Alireza 4 Sapir, Mark Valentinovich 4 Schwermer, Joachim 4 Spatzier, Ralf J. 4 Starkov, A. N. 4 Strömbergsson, Andreas 4 Tomanov, Georges Metodiev 4 Varadarajan, Veeravalli S. 4 Weiss, Barak 4 Yamada, Takumi 4 Zheng, Cheng 3 Abels, Herbert 3 Apanasov, Boris Nikolaevich 3 Baues, Oliver 3 Belegradek, Igor 3 Belliart, Michel 3 Belolipetsky, Mikhail V. 3 Borel, Armand 3 Bou-Rabee, Khalid 3 Bux, Kai-Uwe 3 Choi, Suhyoung 3 Đào Phương Bắc 3 de Cornulier, Yves 3 de la Harpe, Pierre 3 Dechert, W. Davis 3 Dekimpe, Karel 3 DeTurck, Dennis M. 3 Dolgopyat, Dmitry 3 Druţu, Cornelia 3 Falbel, Elisha 3 Feres, Renato 3 Fisher, David Michael 3 Francsics, Gábor 3 Fukaya, Tomohiro 3 Furutani, Kenro 3 Garland, Howard ...and 773 more Authors all top 5 Cited in 179 Serials 57 Inventiones Mathematicae 44 Duke Mathematical Journal 39 Israel Journal of Mathematics 37 Journal of Algebra 31 Geometriae Dedicata 31 Mathematische Annalen 31 Ergodic Theory and Dynamical Systems 27 Mathematische Zeitschrift 26 Advances in Mathematics 26 Transactions of the American Mathematical Society 19 Publications Mathématiques 18 Geometric and Functional Analysis. GAFA 16 Annales de l’Institut Fourier 16 Geometry & Topology 15 Transformation Groups 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Compositio Mathematica 12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 12 Algebraic & Geometric Topology 11 Topology and its Applications 11 Journal of the American Mathematical Society 11 Annals of Mathematics. Second Series 11 Journal of Modern Dynamics 10 Journal of Geometry and Physics 10 Journal of Soviet Mathematics 10 Proceedings of the American Mathematical Society 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Communications in Algebra 9 Journal of Statistical Physics 9 Journal of Functional Analysis 9 Manuscripta Mathematica 9 Bulletin of the American Mathematical Society. New Series 8 Monatshefte für Mathematik 8 Annals of Global Analysis and Geometry 8 Groups, Geometry, and Dynamics 7 Communications in Mathematical Physics 7 Journal d’Analyse Mathématique 7 Acta Mathematica 7 Journal of Pure and Applied Algebra 7 Siberian Mathematical Journal 7 Journal of Topology and Analysis 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Functional Analysis and its Applications 6 Journal für die Reine und Angewandte Mathematik 6 Differential Geometry and its Applications 6 Bulletin des Sciences Mathématiques 5 Mathematical Notes 5 Journal of Mathematical Sciences (New York) 5 Journal of the European Mathematical Society (JEMS) 4 \(K\)-Theory 4 Proceedings of the Steklov Institute of Mathematics 4 Complex Manifolds 3 Communications on Pure and Applied Mathematics 3 Letters in Mathematical Physics 3 Archiv der Mathematik 3 Bulletin de la Société Mathématique de France 3 Commentarii Mathematici Helvetici 3 Glasgow Mathematical Journal 3 Journal of the Mathematical Society of Japan 3 Mathematika 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Forum Mathematicum 3 The Journal of Geometric Analysis 3 Linear Algebra and its Applications 3 Expositiones Mathematicae 3 Experimental Mathematics 3 Selecta Mathematica. New Series 3 Discrete and Continuous Dynamical Systems 3 Representation Theory 3 Journal of the Institute of Mathematics of Jussieu 3 Bulletin of the American Mathematical Society 3 Journal of Topology 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Ukrainian Mathematical Journal 2 Arkiv för Matematik 2 Acta Arithmetica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Boletim da Sociedade Brasileira de Matemática 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Tohoku Mathematical Journal. Second Series 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Physica D 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 International Journal of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Annales Mathématiques Blaise Pascal 2 Dynamical Systems ...and 79 more Serials all top 5 Cited in 50 Fields 442 Topological groups, Lie groups (22-XX) 311 Group theory and generalizations (20-XX) 187 Manifolds and cell complexes (57-XX) 175 Dynamical systems and ergodic theory (37-XX) 167 Differential geometry (53-XX) 132 Number theory (11-XX) 88 Algebraic geometry (14-XX) 61 Global analysis, analysis on manifolds (58-XX) 54 Several complex variables and analytic spaces (32-XX) 43 Probability theory and stochastic processes (60-XX) 35 Measure and integration (28-XX) 31 Abstract harmonic analysis (43-XX) 31 Algebraic topology (55-XX) 29 Geometry (51-XX) 28 Nonassociative rings and algebras (17-XX) 21 Functional analysis (46-XX) 18 \(K\)-theory (19-XX) 17 Functions of a complex variable (30-XX) 14 Combinatorics (05-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 General topology (54-XX) 13 Associative rings and algebras (16-XX) 11 Partial differential equations (35-XX) 10 Quantum theory (81-XX) 9 Category theory; homological algebra (18-XX) 8 Commutative algebra (13-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Ordinary differential equations (34-XX) 6 Operator theory (47-XX) 6 Fluid mechanics (76-XX) 5 Potential theory (31-XX) 5 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 4 Difference and functional equations (39-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Special functions (33-XX) 3 Biology and other natural sciences (92-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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