Edit Profile (opens in new tab) Abikoff, William Co-Author Distance Author ID: abikoff.william Published as: Abikoff, William; Abikoff, W. Homepage: https://www2.math.uconn.edu/~abikoff/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 33 Publications since 1971, including 2 Books 2 Contributions as Editor Reviewing Activity: 17 Reviews Co-Authors: 16 Co-Authors with 10 Joint Publications 199 Co-Co-Authors all top 5 Co-Authors 25 single-authored 2 Haas, Andrew 1 Appel, Kenneth I. 1 Birman, Joan S. 1 Corillon, Carol 1 Earle, Clifford J. 1 Gilman, Jane P. 1 Harvey, William James 1 Milnor Weinstein, Tilla 1 Kra, Irwin 1 Kuiken, Kathryn 1 Maskit, Bernard 1 Mitra, Sudeb 1 Schupp, Paul E. 1 Sibner, Robert J. 1 Synge Morawetz, Cathleen 1 Ye, Taiping all top 5 Serials 2 Journal d’Analyse Mathématique 2 Acta Mathematica 2 American Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Contemporary Mathematics 1 American Mathematical Monthly 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Mathematica Scandinavica 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics all top 5 Fields 32 Functions of a complex variable (30-XX) 9 Group theory and generalizations (20-XX) 8 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Manifolds and cell complexes (57-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 345 times in 294 Documents Cited by ▼ Year ▼ The real analytic theory of Teichmüller space. Zbl 0452.32015 Abikoff, William 143 1980 Degenerating families of Riemann surfaces. Zbl 0347.32010 Abikoff, William 55 1977 On boundaries of Teichmüller spaces and on Kleinian groups. III. Zbl 0322.30017 Abikoff, William 27 1975 Geometric decompositions of Kleinian groups. Zbl 0374.30018 Abikoff, William; Maskit, Bernard 18 1977 Nondiscrete groups of hyperbolic motions. Zbl 0709.20026 Abikoff, William; Haas, Andrew 15 1990 The uniformization theorem. Zbl 0482.30034 Abikoff, William 13 1981 Augmented Teichmüller spaces. Zbl 0333.32021 Abikoff, William 11 1976 The residual limit sets of Kleinian groups. Zbl 0258.30016 Abikoff, William 8 1973 Barycentric extensions of monotone maps of the circle. Zbl 1071.30003 Abikoff, William; Earle, Clifford J.; Mitra, Sudeb 8 2004 Conformal barycenters and the Douady-Earle extension – a discrete dynamical approach. Zbl 1161.37332 Abikoff, William 7 2002 Computing the Douady-Earle extension. Zbl 1126.30317 Abikoff, William; Ye, Taiping 6 1997 Two theorems on totally degenerate Kleinian groups. Zbl 0334.32023 Abikoff, William 5 1976 Oswald Teichmüller. Zbl 0603.01016 Abikoff, William 4 1986 The Euler characteristic and inequalities for Kleinian groups. Zbl 0606.30045 Abikoff, William 4 1986 Kleinian groups - geometrically finite and geometrically perverse. Zbl 0662.30043 Abikoff, William 3 1988 Some remarks on Kleinian groups. Zbl 0216.09901 Abikoff, William 3 1971 The bounded model for hyperbolic 3-space and a quaternionic uniformization theorem. Zbl 0555.30031 Abikoff, William 2 1984 A geometric property of Bers’ embedding of the Teichmüller space. Zbl 0458.30031 Abikoff, William 2 1981 Remembering Lipman Bers. Zbl 1042.01527 Morawetz, Cathleen S.; Abikoff, William; Corillon, Carol; Kra, Irwin; Weinstein, Tilla; Gilman, Jane 2 1995 Constructability and Bers stability of Kleinian groups. Zbl 0298.30022 Abikoff, William 2 1974 Lifting surface groups to SL(2,\({\mathbb{C}})\). Zbl 0531.30037 Abikoff, W.; Appel, K.; Schupp, P. 2 1983 The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Zbl 0801.00023 1 1994 Moduli of Riemann surfaces. Zbl 0293.32018 Abikoff, William 1 1974 Bers – From graduate student to quasiconformal mapper. Zbl 1358.01037 Abikoff, William; Sibner, Robert J. 1 2015 The real analytic theory of Teichmüller space. Transl. from the English. (Вещественно-аналитическая теория пространства Тейхмюллера.) Zbl 0671.32001 Abikoff, William 1 1985 Some remarks on singly degenerate Kleinian groups. Zbl 1255.30042 Abikoff, William 1 2012 Bers – From graduate student to quasiconformal mapper. Zbl 1358.01037 Abikoff, William; Sibner, Robert J. 1 2015 Some remarks on singly degenerate Kleinian groups. Zbl 1255.30042 Abikoff, William 1 2012 Barycentric extensions of monotone maps of the circle. Zbl 1071.30003 Abikoff, William; Earle, Clifford J.; Mitra, Sudeb 8 2004 Conformal barycenters and the Douady-Earle extension – a discrete dynamical approach. Zbl 1161.37332 Abikoff, William 7 2002 Computing the Douady-Earle extension. Zbl 1126.30317 Abikoff, William; Ye, Taiping 6 1997 Remembering Lipman Bers. Zbl 1042.01527 Morawetz, Cathleen S.; Abikoff, William; Corillon, Carol; Kra, Irwin; Weinstein, Tilla; Gilman, Jane 2 1995 The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Zbl 0801.00023 1 1994 Nondiscrete groups of hyperbolic motions. Zbl 0709.20026 Abikoff, William; Haas, Andrew 15 1990 Kleinian groups - geometrically finite and geometrically perverse. Zbl 0662.30043 Abikoff, William 3 1988 Oswald Teichmüller. Zbl 0603.01016 Abikoff, William 4 1986 The Euler characteristic and inequalities for Kleinian groups. Zbl 0606.30045 Abikoff, William 4 1986 The real analytic theory of Teichmüller space. Transl. from the English. (Вещественно-аналитическая теория пространства Тейхмюллера.) Zbl 0671.32001 Abikoff, William 1 1985 The bounded model for hyperbolic 3-space and a quaternionic uniformization theorem. Zbl 0555.30031 Abikoff, William 2 1984 Lifting surface groups to SL(2,\({\mathbb{C}})\). Zbl 0531.30037 Abikoff, W.; Appel, K.; Schupp, P. 2 1983 The uniformization theorem. Zbl 0482.30034 Abikoff, William 13 1981 A geometric property of Bers’ embedding of the Teichmüller space. Zbl 0458.30031 Abikoff, William 2 1981 The real analytic theory of Teichmüller space. Zbl 0452.32015 Abikoff, William 143 1980 Degenerating families of Riemann surfaces. Zbl 0347.32010 Abikoff, William 55 1977 Geometric decompositions of Kleinian groups. Zbl 0374.30018 Abikoff, William; Maskit, Bernard 18 1977 Augmented Teichmüller spaces. Zbl 0333.32021 Abikoff, William 11 1976 Two theorems on totally degenerate Kleinian groups. Zbl 0334.32023 Abikoff, William 5 1976 On boundaries of Teichmüller spaces and on Kleinian groups. III. Zbl 0322.30017 Abikoff, William 27 1975 Constructability and Bers stability of Kleinian groups. Zbl 0298.30022 Abikoff, William 2 1974 Moduli of Riemann surfaces. Zbl 0293.32018 Abikoff, William 1 1974 The residual limit sets of Kleinian groups. Zbl 0258.30016 Abikoff, William 8 1973 Some remarks on Kleinian groups. Zbl 0216.09901 Abikoff, William 3 1971 all cited Publications top 5 cited Publications all top 5 Cited by 279 Authors 9 Ohshika, Ken’ichi 8 Papadopoulos, Athanase 7 Hu, Jun 7 Liu, Lixin 6 Abikoff, William 5 Brock, Jeffrey F. 5 Kra, Irwin 5 Masur, Howard A. 5 Minsky, Yair N. 5 Miyachi, Hideki 5 Su, Weixu 4 Hu, Guangming 4 Jimenez-Lopez, Francisco G. 4 Jorgenson, Jay Alan 4 Korotkin, Dmitrii A. 4 Lundelius, Rolf E. 4 Maskit, Bernard 4 Penner, Robert C. 4 Qi, Yi 4 Wolpert, Scott A. 4 Yamamoto, Hiro-o 3 Alessandrini, Daniele 3 Arredondo, John Alexander 3 Bainbridge, Matt 3 Basmajian, Ara S. 3 Canary, Richard D. 3 Díaz, Raquel Gómez 3 Fang, Ainong 3 Goldman, William M. 3 Gongopadhyay, Krishnendu 3 Jiang, Yueping 3 Krushkal, Samuel L. 3 Matsuzaki, Katsuhiko 3 Muzician, Oleg 3 Parlier, Hugo 3 Ramírez Maluendas, Camilo 3 Seppälä, Mika 3 Wang, Xiantao 3 Yamada, Sumio 3 Zhang, Chaohui 2 Amano, Masanori 2 Bauer, Max 2 Benedetti, Riccardo 2 Bertola, Marco 2 Bishop, Christopher James 2 Boggi, Marco 2 Bromberg, Kenneth W. 2 Cao, Wensheng 2 Dai, Binlin 2 Daskalopoulos, Georgios D. 2 Evans, Richard Allen 2 Garbin, Daniel 2 Gardiner, Frederick P. 2 González-Aguilera, Víctor 2 Haas, Andrew 2 Haïssinsky, Peter 2 Hidalgo, Rubén Antonio 2 Ji, Lizhen 2 Jones, Peter Wilcox 2 Kholodenko, Arkady L. 2 Li, Liulan 2 Liu, Jinsong 2 Lyubich, Mikhail 2 Magid, Aaron D. 2 Mese, Chikako 2 Mj, Mahan 2 Mochizuki, Shinichi 2 Möller, Martin 2 Mondello, Gabriele 2 Moosavian, Seyed Faroogh 2 Mukherjee, Abhishek 2 Parkkonen, Jouni 2 Paulin, Frédéric 2 Pius, Roji 2 Sasaki, Takehiko 2 Sato, Hiroki 2 Sun, Zongliang 2 Taylor, Edward C. 2 Thurston, William Paul 2 Tiwari, Devendra 2 Tukia, Pekka 2 Vasilev, Alexander 2 Wang, Hua 2 Yang, Shihai 2 Zhang, Tengren 2 Zhuravlëv, I. V. 1 Anderson, James W. 1 Andrésson, Håkan 1 Apanasov, Boris Nikolaevich 1 Arés Gastesi, Pablo 1 Baranov, Aleksandr Mikhaĭlovich 1 Barceló, Carlos 1 Baseilhac, Stéphane 1 Beardon, Alan Frank 1 Benoist, Yves 1 Berenstein, Arkady 1 Bers, Lipman 1 Blanchard, Paul R. 1 Booss-Bavnbek, Bernhelm 1 Boshernitzan, Michael D. ...and 179 more Authors all top 5 Cited in 99 Serials 16 Duke Mathematical Journal 13 Geometriae Dedicata 12 Proceedings of the American Mathematical Society 12 Transactions of the American Mathematical Society 11 Inventiones Mathematicae 11 Geometry & Topology 10 Communications in Mathematical Physics 9 Journal d’Analyse Mathématique 8 Acta Mathematica 8 Tôhoku Mathematical Journal. Second Series 8 Bulletin of the American Mathematical Society. New Series 6 Siberian Mathematical Journal 5 Manuscripta Mathematica 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Conformal Geometry and Dynamics 5 Acta Mathematica Sinica. English Series 4 Israel Journal of Mathematics 4 Compositio Mathematica 4 Mathematische Annalen 4 Mathematische Zeitschrift 4 Proceedings of the Japan Academy. Series A 4 Geometric and Functional Analysis. GAFA 3 Journal of Geometry and Physics 3 Annales de l’Institut Fourier 3 Glasgow Mathematical Journal 3 Kodai Mathematical Journal 3 Osaka Journal of Mathematics 3 Ergodic Theory and Dynamical Systems 3 Selecta Mathematica. New Series 3 Living Reviews in Relativity 2 Bulletin of the Australian Mathematical Society 2 Mathematical Notes 2 Nuclear Physics. B 2 The Mathematical Intelligencer 2 Advances in Mathematics 2 Functional Analysis and its Applications 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Chinese Annals of Mathematics. Series B 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Difference Equations and Applications 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of High Energy Physics 2 Algebraic & Geometric Topology 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Analysis and Mathematical Physics 2 EMS Surveys in Mathematical Sciences 2 Annales Fennici Mathematici 1 Archive for History of Exact Sciences 1 Discrete Mathematics 1 General Relativity and Gravitation 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Reports 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Topology and its Applications 1 Physica D 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Sugaku Expositions 1 International Journal of Mathematics 1 MSCS. Mathematical Structures in Computer Science 1 L’Enseignement Mathématique. 2e Série 1 Acta Mathematica Sinica. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Abstract and Applied Analysis 1 Communications of the Korean Mathematical Society 1 Advances in Geometry 1 Computational Methods and Function Theory 1 Bulletin of the American Mathematical Society 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Journal of Modern Dynamics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Complex Manifolds 1 SIAM Journal on Applied Algebra and Geometry 1 Journal of the Iranian Mathematical Society all top 5 Cited in 35 Fields 190 Functions of a complex variable (30-XX) 109 Several complex variables and analytic spaces (32-XX) 69 Manifolds and cell complexes (57-XX) 46 Group theory and generalizations (20-XX) 43 Differential geometry (53-XX) 30 Algebraic geometry (14-XX) 30 Dynamical systems and ergodic theory (37-XX) 25 Global analysis, analysis on manifolds (58-XX) 14 Number theory (11-XX) 14 Quantum theory (81-XX) 12 Topological groups, Lie groups (22-XX) 9 History and biography (01-XX) 8 Relativity and gravitational theory (83-XX) 6 Geometry (51-XX) 5 Potential theory (31-XX) 4 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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