Edit Profile (opens in new tab) Garland, Howard Co-Author Distance Author ID: garland.howard Published as: Garland, Howard; Garland, H. External Links: MGP · Wikidata Documents Indexed: 46 Publications since 1966, including 1 Additional arXiv Preprint Co-Authors: 17 Co-Authors with 21 Joint Publications 454 Co-Co-Authors all top 5 Co-Authors 25 single-authored 3 Carbone, Lisa J. 3 Raghunathan, Madabusi Santanam 3 Zuckerman, Gregg J. 2 Lepowsky, James 2 Miller, Stephen D. 2 Murray, Michael K. 2 Patnaik, Manish M. 2 Zhu, Yongchang 1 Borel, Armand 1 Braverman, Alexander 1 Frenkel, L. B. 1 Goto, Morikuni 1 Grojnowski, Ian 1 Hsiang, Wu-Chung 1 Kazhdan, David 1 Lee, Kyu-Hwan 1 Liu, Dongwen all top 5 Serials 6 American Journal of Mathematics 5 Proceedings of the National Academy of Sciences of the United States of America 4 Annals of Mathematics. Second Series 3 Journal of Algebra 3 Bulletin of the American Mathematical Society 2 Communications in Mathematical Physics 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 2 Mathematical Research Letters 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of the Faculty of Science. Section I A 1 Mathematische Annalen 1 Communications in Contemporary Mathematics all top 5 Fields 27 Topological groups, Lie groups (22-XX) 14 Nonassociative rings and algebras (17-XX) 10 Number theory (11-XX) 7 Group theory and generalizations (20-XX) 4 Quantum theory (81-XX) 2 Algebraic geometry (14-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 884 times in 742 Documents Cited by ▼ Year ▼ Lie algebra homology and the Macdonald-Kac formulas. Zbl 0358.17015 Garland, Howard; Lepowsky, James 126 1976 p-adic curvature and the cohomology of discrete subgroups of p-adic groups. Zbl 0262.22010 Garland, Howard 109 1973 Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups. Zbl 0206.03603 Garland, H.; Raghunathan, M. S. 89 1970 The arithmetic theory of loop groups. Zbl 0475.17004 Garland, Howard 86 1980 The arithmetic theory of loop algebras. Zbl 0383.17012 Garland, Howard 82 1978 Semi-infinite cohomology and string theory. Zbl 0607.17007 Frenkel, L. B.; Garland, H.; Zuckerman, G. J. 75 1986 A finiteness theorem for K\(_2\) of a number field. Zbl 0247.12103 Garland, Howard 39 1971 Laplacian and the discrete spectrum of an arithmetic group. Zbl 0572.22007 Borel, Armand; Garland, H. 30 1983 Existence of lattices in Kac-Moody groups over finite fields. Zbl 1070.17010 Carbone, Lisa; Garland, Howard 30 2003 Kac-Moody monopoles and periodic instantons. Zbl 0699.53094 Garland, H.; Murray, M. K. 26 1988 A Bruhat decomposition for the loop space of a compact group: A new approach to results of Bott. Zbl 0344.55009 Garland, Howard; Raghunathan, M. S. 17 1975 Certain Eisenstein series on loop groups: convergence and the constant term. Zbl 1157.11314 Garland, H. 14 2004 Entirety of cuspidal Eisenstein series on loop groups. Zbl 1369.22009 Garland, Howard; Miller, Stephen D.; Patnaik, Manish M. 14 2017 Dedekind’s \(\eta\)-function and the cohomology of infinite dimensional Lie algebras. Zbl 0322.18010 Garland, Howard 12 1975 Eisenstein series on loop groups: Maass-Selberg relations. II. Zbl 1129.11038 Garland, Howard 9 2007 Absolute convergence of Eisenstein series on loop groups. Zbl 1160.11025 Garland, Howard 9 2006 Eisenstein series on arithmetic quotients of loop groups. Zbl 1005.11041 Garland, Howard 9 1999 An affine Gindikin-Karpelevich formula. Zbl 1302.20048 Braverman, Alexander; Garland, H.; Kazhdan, D.; Patnaik, M. 9 2014 Eisenstein series on loop groups: Maass-Selberg relations. I. Zbl 1232.11090 Garland, Howard 8 2007 A Cartan decomposition for \(p\)-adic loop groups. Zbl 0837.22013 Garland, H. 8 1995 Eisenstein series on loop groups: Maass-Selberg relations. IV. Zbl 1232.11091 Garland, Howard 7 2007 Lattices in Kac-Moody groups. Zbl 0954.22014 Carbone, Lisa; Garland, Howard 7 1999 Why instantons are monopoles. Zbl 0753.58041 Garland, H.; Murray, M. K. 7 1989 A square integrability criterion for the cohomology of arithmetic groups. Zbl 0174.31302 Garland, H.; Hsiang, W. C. 7 1968 Eisenstein series on loop groups: Maass-Selberg relations. III. Zbl 1194.11088 Garland, Howard 6 2007 On the cohomology of lattices in solvable Lie groups. Zbl 0142.26702 Garland, Howard 6 1966 A rigidity theorem for discrete subgroups. Zbl 0225.22016 Garland, Howard 6 1967 On extending the Langlands-Shahidi method to arithmetic quotients of loop groups. Zbl 1260.11038 Garland, Howard 5 2011 Lattices and the adjoint group of a Lie group. Zbl 0156.26302 Garland, Howard; Goto, Morikuni 5 1966 Fundamental domains for lattices in rank one semisimple Lie groups. Zbl 0174.05603 Garland, H.; Raghunathan, M. S. 5 1969 The arithmetic theory of loop groups. II: The Hilbert-modular case. Zbl 0974.22020 Garland, Howard 4 1998 Erratum: The arithmetic theory of loop algebras. Zbl 0424.17009 Garland, Howard 4 1980 On unitarizable highest weight modules of Hermitian pairs. Zbl 0499.17004 Garland, H.; Zuckerman, G. J. 4 1981 On the Siegel-Weil theorem for loop groups. II. Zbl 1254.22012 Garland, Howard; Zhu, Yongchang 3 2011 The spectrum of noncompact G/\(\Gamma\) and the cohomology of arithmetic groups. Zbl 0248.22021 Garland, Howard 2 1969 On the Siegel-Weil theorem for loop groups. I. Zbl 1215.22010 Garland, Howard; Zhu, Yongchang 1 2011 The Macdonald-Kac formulas as a consequence of the Euler-Poincaré principle. Zbl 0366.17005 Garland, Howard; Lepowsky, James 1 1977 \(p\)-adic curvature and a conjecture of Serre. Zbl 0244.20040 Garland, Howard 1 1972 On deformations of lattices in Lie groups. Zbl 0199.06801 Garland, H. 1 1966 On deformations of discrete groups in the noncompact case. Zbl 0199.06802 Garland, H. 1 1966 Entirety of cuspidal Eisenstein series on loop groups. Zbl 1369.22009 Garland, Howard; Miller, Stephen D.; Patnaik, Manish M. 14 2017 An affine Gindikin-Karpelevich formula. Zbl 1302.20048 Braverman, Alexander; Garland, H.; Kazhdan, D.; Patnaik, M. 9 2014 On extending the Langlands-Shahidi method to arithmetic quotients of loop groups. Zbl 1260.11038 Garland, Howard 5 2011 On the Siegel-Weil theorem for loop groups. II. Zbl 1254.22012 Garland, Howard; Zhu, Yongchang 3 2011 On the Siegel-Weil theorem for loop groups. I. Zbl 1215.22010 Garland, Howard; Zhu, Yongchang 1 2011 Eisenstein series on loop groups: Maass-Selberg relations. II. Zbl 1129.11038 Garland, Howard 9 2007 Eisenstein series on loop groups: Maass-Selberg relations. I. Zbl 1232.11090 Garland, Howard 8 2007 Eisenstein series on loop groups: Maass-Selberg relations. IV. Zbl 1232.11091 Garland, Howard 7 2007 Eisenstein series on loop groups: Maass-Selberg relations. III. Zbl 1194.11088 Garland, Howard 6 2007 Absolute convergence of Eisenstein series on loop groups. Zbl 1160.11025 Garland, Howard 9 2006 Certain Eisenstein series on loop groups: convergence and the constant term. Zbl 1157.11314 Garland, H. 14 2004 Existence of lattices in Kac-Moody groups over finite fields. Zbl 1070.17010 Carbone, Lisa; Garland, Howard 30 2003 Eisenstein series on arithmetic quotients of loop groups. Zbl 1005.11041 Garland, Howard 9 1999 Lattices in Kac-Moody groups. Zbl 0954.22014 Carbone, Lisa; Garland, Howard 7 1999 The arithmetic theory of loop groups. II: The Hilbert-modular case. Zbl 0974.22020 Garland, Howard 4 1998 A Cartan decomposition for \(p\)-adic loop groups. Zbl 0837.22013 Garland, H. 8 1995 Why instantons are monopoles. Zbl 0753.58041 Garland, H.; Murray, M. K. 7 1989 Kac-Moody monopoles and periodic instantons. Zbl 0699.53094 Garland, H.; Murray, M. K. 26 1988 Semi-infinite cohomology and string theory. Zbl 0607.17007 Frenkel, L. B.; Garland, H.; Zuckerman, G. J. 75 1986 Laplacian and the discrete spectrum of an arithmetic group. Zbl 0572.22007 Borel, Armand; Garland, H. 30 1983 On unitarizable highest weight modules of Hermitian pairs. Zbl 0499.17004 Garland, H.; Zuckerman, G. J. 4 1981 The arithmetic theory of loop groups. Zbl 0475.17004 Garland, Howard 86 1980 Erratum: The arithmetic theory of loop algebras. Zbl 0424.17009 Garland, Howard 4 1980 The arithmetic theory of loop algebras. Zbl 0383.17012 Garland, Howard 82 1978 The Macdonald-Kac formulas as a consequence of the Euler-Poincaré principle. Zbl 0366.17005 Garland, Howard; Lepowsky, James 1 1977 Lie algebra homology and the Macdonald-Kac formulas. Zbl 0358.17015 Garland, Howard; Lepowsky, James 126 1976 A Bruhat decomposition for the loop space of a compact group: A new approach to results of Bott. Zbl 0344.55009 Garland, Howard; Raghunathan, M. S. 17 1975 Dedekind’s \(\eta\)-function and the cohomology of infinite dimensional Lie algebras. Zbl 0322.18010 Garland, Howard 12 1975 p-adic curvature and the cohomology of discrete subgroups of p-adic groups. Zbl 0262.22010 Garland, Howard 109 1973 \(p\)-adic curvature and a conjecture of Serre. Zbl 0244.20040 Garland, Howard 1 1972 A finiteness theorem for K\(_2\) of a number field. Zbl 0247.12103 Garland, Howard 39 1971 Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups. Zbl 0206.03603 Garland, H.; Raghunathan, M. S. 89 1970 Fundamental domains for lattices in rank one semisimple Lie groups. Zbl 0174.05603 Garland, H.; Raghunathan, M. S. 5 1969 The spectrum of noncompact G/\(\Gamma\) and the cohomology of arithmetic groups. Zbl 0248.22021 Garland, Howard 2 1969 A square integrability criterion for the cohomology of arithmetic groups. Zbl 0174.31302 Garland, H.; Hsiang, W. C. 7 1968 A rigidity theorem for discrete subgroups. Zbl 0225.22016 Garland, Howard 6 1967 On the cohomology of lattices in solvable Lie groups. Zbl 0142.26702 Garland, Howard 6 1966 Lattices and the adjoint group of a Lie group. Zbl 0156.26302 Garland, Howard; Goto, Morikuni 5 1966 On deformations of lattices in Lie groups. Zbl 0199.06801 Garland, H. 1 1966 On deformations of discrete groups in the noncompact case. Zbl 0199.06802 Garland, H. 1 1966 all cited Publications top 5 cited Publications all top 5 Cited by 795 Authors 18 Lepowsky, James 16 Chari, Vyjayanthi 15 Carbone, Lisa J. 12 Garland, Howard 12 Lubotzky, Alexander 9 Frenkel, Igor B. 9 Lian, Bong H. 9 Oppenheim, Izhar 8 Kang, Seok-Jin 8 Morita, Jun 7 Kumar, Shrawan 7 Liu, Dongwen 7 Pressley, Andrew 7 Zuckerman, Gregg J. 6 Kaufman, Tali 6 Naito, Satoshi 6 Wallach, Nolan Russell 5 Bianchi, Angelo Calil 5 Borel, Armand 5 Bossard, Guillaume 5 Creutzig, Thomas 5 Ji, Lizhen 5 Kac, Victor 5 Kazhdan, David 5 Kleinschmidt, Axel 5 Lim, Meng Fai 5 Murray, Michael K. 5 Neidhardt, Wayne 5 Rémy, Bertrand 5 Rosenthal, Ron 5 Schwermer, Joachim 5 Wilson, Robert Lee 5 Zhu, Yongchang 4 Bader, Uri 4 Caprace, Pierre-Emmanuel 4 Dinur, Irit 4 Gao, Yun 4 Hanlon, Phil 4 Hwang, Stephen C. 4 Jing, Naihuan 4 Jurisich, Elizabeth 4 Kahle, Matthew 4 Kus, Deniz 4 Ladra González, Manuel 4 Lam, Thomas F. 4 Lee, Kyu-Hwan 4 Linshaw, Andrew Ross 4 McRae, Robert 4 Meshulam, Roy 4 Moody, Robert Vaughan 4 Papikian, Mihran 4 Parzanchevski, Ori 4 Rocha-Caridi, Alvany 4 Rousseau, Guy 4 Schneider, Peter 4 Shah, Nimish A. 4 Tan, Shaobin 4 Vozzo, Raymond F. 3 Apanasov, Boris Nikolaevich 3 Bagci, Irfan 3 Beliakova, Anna 3 Berman, Stephen 3 Björnsson, Jonas 3 Bobrowski, Omer 3 Bouwknegt, Peter G. 3 Braverman, Alexander 3 Calinescu, Corina 3 Capdeboscq, Inna 3 Casselman, William A. 3 Cheng, Shun-Jen 3 Curtis, Charles W. 3 Dani, Shrikrishna Gopalrao 3 Deodhar, Vinay V. 3 Dikstein, Yotam 3 Ershov, Mikhail V. 3 Falbel, Elisha 3 Feĭgin, Boris L’vovich 3 Feingold, Alex Jay 3 Fino, Anna 3 Francsics, Gábor 3 García-Martínez, Xabier 3 Gelander, Tsachik 3 Habiro, Kazuo 3 Harland, Derek 3 Hu, Naihong 3 Kwon, Jae-Hoon 3 Lam, Ngau 3 Lauda, Aaron D. 3 Luo, Li 3 Margulis, Grigoriĭ Aleksandrovich 3 Mathieu, Olivier 3 Matz, Jasmin 3 McCarthy, Jim 3 Milas, Antun 3 Monod, Nicolas 3 Morse, Jennifer 3 Mozes, Shahar 3 Parker, John R. 3 Pichot, Mikaël 3 Pilch, Krzysztof ...and 695 more Authors all top 5 Cited in 162 Serials 58 Journal of Algebra 40 Communications in Mathematical Physics 36 Inventiones Mathematicae 34 Advances in Mathematics 26 Duke Mathematical Journal 23 Mathematische Annalen 20 Communications in Algebra 20 Transactions of the American Mathematical Society 17 Nuclear Physics. B 16 Journal of Mathematical Physics 16 Journal of Pure and Applied Algebra 15 Israel Journal of Mathematics 14 Proceedings of the American Mathematical Society 14 Journal of High Energy Physics 13 Journal of Functional Analysis 12 Mathematische Zeitschrift 9 Compositio Mathematica 8 Annales de l’Institut Fourier 8 Journal of Number Theory 8 Algebras and Representation Theory 7 Geometriae Dedicata 7 Transformation Groups 7 Representation Theory 7 Annals of Mathematics. Second Series 7 Algebraic & Geometric Topology 6 Journal of Geometry and Physics 6 Journal of Modern Dynamics 5 Letters in Mathematical Physics 5 Functional Analysis and its Applications 5 Publications Mathématiques 5 Ergodic Theory and Dynamical Systems 5 Discrete & Computational Geometry 5 \(K\)-Theory 5 Geometric and Functional Analysis. GAFA 5 Bulletin of the American Mathematical Society. New Series 5 Forum of Mathematics, Sigma 4 Acta Mathematica 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Soviet Mathematics 4 Proceedings of the Japan Academy. Series A 4 Combinatorica 4 Communications in Contemporary Mathematics 4 Journal of Algebra and its Applications 4 Groups, Geometry, and Dynamics 3 Journal d’Analyse Mathématique 3 Physics Letters. B 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin de la Société Mathématique de France 3 Journal of Combinatorial Theory. Series A 3 Journal of the London Mathematical Society. Second Series 3 Monatshefte für Mathematik 3 Siberian Mathematical Journal 3 Journal of the American Mathematical Society 3 Random Structures & Algorithms 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Algebra Colloquium 3 Journal of Lie Theory 3 Discrete and Continuous Dynamical Systems 3 Geometry & Topology 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of the Institute of Mathematics of Jussieu 3 Frontiers of Mathematics in China 2 Mathematics of Computation 2 Acta Arithmetica 2 Colloquium Mathematicum 2 Commentarii Mathematici Helvetici 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tôhoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 Publicacions Matemàtiques 2 International Journal of Mathematics 2 International Journal of Algebra and Computation 2 Journal of Algebraic Combinatorics 2 Nuclear Physics. B. Proceedings Supplements 2 Journal de Théorie des Nombres de Bordeaux 2 Selecta Mathematica. New Series 2 Sbornik: Mathematics 2 Acta Mathematica Sinica. English Series 2 Annales Henri Poincaré 2 Journal of Nonlinear Mathematical Physics 2 International Journal of Geometric Methods in Modern Physics 2 Mediterranean Journal of Mathematics 2 International Journal of Number Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Bulletin of the American Mathematical Society 2 Journal of Physics A: Mathematical and Theoretical 2 Algebra & Number Theory 2 Journal of Topology 2 Analysis & PDE 2 Science China. Mathematics 2 Research in the Mathematical Sciences 2 European Journal of Mathematics 2 Journal of Applied and Computational Topology 2 PUMP Journal of Undergraduate Research 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society ...and 62 more Serials all top 5 Cited in 43 Fields 304 Nonassociative rings and algebras (17-XX) 186 Topological groups, Lie groups (22-XX) 141 Group theory and generalizations (20-XX) 112 Quantum theory (81-XX) 110 Number theory (11-XX) 77 Combinatorics (05-XX) 68 Algebraic geometry (14-XX) 53 Manifolds and cell complexes (57-XX) 51 Differential geometry (53-XX) 43 Global analysis, analysis on manifolds (58-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Algebraic topology (55-XX) 28 \(K\)-theory (19-XX) 26 Geometry (51-XX) 25 Category theory; homological algebra (18-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Partial differential equations (35-XX) 17 Associative rings and algebras (16-XX) 16 Relativity and gravitational theory (83-XX) 15 Probability theory and stochastic processes (60-XX) 13 Functional analysis (46-XX) 9 Abstract harmonic analysis (43-XX) 7 Functions of a complex variable (30-XX) 6 Commutative algebra (13-XX) 6 Operator theory (47-XX) 6 Computer science (68-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 4 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Convex and discrete geometry (52-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Potential theory (31-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-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. Updates and corrections should be made in Wikidata.