Edit Profile (opens in new tab) Birman, Joan S. Co-Author Distance Author ID: birman.joan-s Published as: Birman, Joan S.; Birman, J. S.; Birman, Joan; Birman, J. more...less Further Spellings: Birman, Joan Sylvia Lyttle Homepage: https://www.math.columbia.edu/~jb/ External Links: Women in Mathematics · Celebratio Mathematica · MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 101 Publications since 1969, including 2 Books 6 Contributions as Editor · 4 Further Contributions Biographic References: 7 Publications Co-Authors: 56 Co-Authors with 75 Joint Publications 1,073 Co-Co-Authors all top 5 Co-Authors 33 single-authored 15 Menasco, William W. 7 Hilden, Hugh Michael 5 Ko, Ki Hyoung 5 Series, Caroline 4 Kawauchi, Akio 3 Gebhardt, Volker 3 González-Meneses, Juan 3 Gordon, Cameron McA. 3 Jin, Gyo Taek 3 Kauffman, Louis Hirsch 3 Levine, Jerome P. 3 Magnus, Wilhelm 3 Matsumoto, Yukio 3 Wajnryb, Bronislaw 3 Wrinkle, Nancy C. 2 Brendle, Tara E. 2 Broaddus, Nathan 2 Craggs, Robert 2 Kanenobu, Taizo 2 Lee, Sangjin 2 Montesinos-Amilibia, José María 2 Moody, John Atwell 2 Williams, Robert F. 1 Abikoff, William 1 Baxter, Rodney J. 1 Bharathram, Vasudha 1 Bisch, Dietmar H. 1 Boldi, Paolo 1 Brinkmann, Peter 1 Cannon, James W. 1 Chandler, Bruce 1 Chillingworth, D. R. J. 1 Conder, Marston Donald Edward 1 Connes, Alain 1 de la Harpe, Pierre 1 Evans, David E. 1 Fenchel, Werner 1 Finkelstein, Elizabeth 1 Freedman, Michael Hartley 1 González Acuña, Francisco Javier 1 Goodman, Fred J. 1 Guionnet, Alice 1 Hansen, Vagn Lundsgaard 1 Hirsch, Michael D. 1 Izumi, Masaki 1 Jackson, Allyn 1 Jaffe, Arthur Michael 1 Johnson, Dennis L. 1 Kawahigashi, Yasuyuki 1 Kawamuro, Keiko 1 Kidwell, Mark Elliot 1 Kirby, Robion Cromwell 1 Kofman, Ilya 1 Kuiken, Kathryn 1 Landau, Susan Eva 1 Lehrer, Gustav Isaac 1 Libgober, Anatoly S. 1 Lin, Xiao-Song 1 Long, Darren D. 1 Longo, Roberto 1 Lubotzky, Alexander 1 Maeda, Toru 1 Margalit, Dan 1 Martin, Gaven J. 1 Marumoto, Yoshihiko 1 McCarthy, John D. 1 Miyazaki, Katura 1 Morse, Matthew J. 1 Murakami, Hitoshi 1 Nakanishi, Yasutaka 1 Nielsen, Jakob 1 Pless, Vera S. 1 Popa, Sorin Teodor 1 Powell, Jerome L. 1 Putman, Andrew 1 Rampichini, Marta 1 Ratcliffe, John G. 1 Reshetikhin, Nikolai Yu. 1 Rubinstein, J. Hyam 1 Saito, Masa-Hiko 1 Sakuma, Makoto 1 Sekine, Mituhiro 1 Shibuya, Tetsuo 1 Shlyakhtenko, Dimitri L. 1 Skandalis, Georges 1 Srinivasan, Bhama 1 Sutherland, Colin E. 1 Suzuki, Shin’ichi 1 Taylor, Jean Ellen 1 Teicher, Mina 1 Tepper Haimo, Deborah 1 Trapp, Rolland 1 Traynor, Lisa 1 Vigna, Sebastiano 1 Wenzl, Hans 1 Witten, Edward 1 Woodin, W. Hugh 1 Zieschang, Heiner all top 5 Serials 8 Journal of Knot Theory and its Ramifications 6 Communications on Pure and Applied Mathematics 5 Proceedings of the American Mathematical Society 5 Bulletin of the American Mathematical Society 4 Topology 4 Transactions of the American Mathematical Society 4 Notices of the American Mathematical Society 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Pacific Journal of Mathematics 3 Geometry & Topology 2 Geometriae Dedicata 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Topology and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 Annals of Mathematics. Second Series 2 Contemporary Mathematics 2 Groups, Geometry, and Dynamics 2 Journal of Topology and Analysis 1 Arkhimedes 1 The Mathematical Intelligencer 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Proceedings of the London Mathematical Society. Third Series 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Communications in Contemporary Mathematics 1 Journal of the Australian Mathematical Society 1 Proceedings of the Cambridge Philosophical Society 1 Annals of Mathematics Studies 1 Journal of Topology 1 Involve 1 Contemporary Mathematicians 1 RIMS Kokyuroku all top 5 Fields 86 Manifolds and cell complexes (57-XX) 36 Group theory and generalizations (20-XX) 9 General and overarching topics; collections (00-XX) 7 Algebraic topology (55-XX) 6 History and biography (01-XX) 6 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 2 Ordinary differential equations (34-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 2,320 times in 1,685 Documents Cited by ▼ Year ▼ Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013Birman, Joan S. 190 1975 Braids, link polynomials and a new algebra. Zbl 0684.57004Birman, Joan S.; Wenzl, Hans 151 1989 A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin 142 1998 Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011Birman, Joan S.; Lin, Xiao-Song 141 1993 New points of view in knot theory. Zbl 0785.57001Birman, Joan S. 121 1993 Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038Birman, Joan S.; Williams, R. F. 118 1983 Mapping class groups and their relationship to braid groups. Zbl 0167.21503Birman, J. S. 98 1969 Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004Birman, Joan S.; Lubotzky, Alex; McCarthy, John 95 1983 Mapping class groups of surfaces: a survey. Zbl 0297.57001Birman, Joan S. 76 1974 Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043Birman, Joan S.; Williams, R. F. 65 1983 On isotopies of homeomorphisms of Riemann surfaces. Zbl 0237.57001Birman, Joan S.; Hilden, Hugh M. 59 1973 Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010Birman, Joan S.; Menasco, William W. 58 1993 On braid groups. Zbl 0157.30904Birman, Joan S. 55 1969 On the mapping class groups of closed surfaces as covering spaces. Zbl 0217.48602Birman, J. S.; Hilden, H. M. 53 1971 Braids: a survey. Zbl 1094.57006Birman, Joan S.; Brendle, Tara E. 46 2005 Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006Birman, Joan S.; Series, Caroline 40 1985 Studying links via closed braids. IV: Composite links and split links. Zbl 0711.57006Birman, Joan S.; Menasco, William W. 40 1990 Heegaard splittings of branched coverings of \(S^3\). Zbl 0312.55004Birman, Joan S.; Hilden, Hugh M. 36 1975 On Siegel’s modular group. Zbl 0208.10601Birman, J. S. 33 1971 Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005Birman, Joan S.; Menasco, William W. 31 2006 On the homeotopy group of a non-orientable surface. Zbl 0232.57001Birman, Joan S.; Chillingworth, D. R. J. 29 1972 The \(\mu\)-invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed, oriented 2-manifold. Zbl 0383.57006Birman, Joan S.; Craggs, R. 28 1978 Studying links via closed braids. V: The unlink. Zbl 0758.57005Birman, Joan S.; Menasco, William W. 28 1992 On the Jones polynomial of closed 3-braids. Zbl 0588.57005Birman, Joan S. 26 1985 An inverse function theorem for free groups. Zbl 0274.20032Birman, Joan S. 26 1973 Conjugacy in Garside groups. I: Cyclings, powers and rigidity. Zbl 1160.20026Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan 24 2007 Special positions for essential tori in link complements. Zbl 0833.57004Birman, Joan S.; Menasco, William W. 23 1994 On the stable equivalence of plat representations of knots and links. Zbl 0339.55005Birman, Joan S. 22 1976 Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002Birman, Joan S.; Menasco, William W. 22 1992 Conjugacy in Garside groups. III: Periodic braids. Zbl 1165.20031Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan 21 2007 Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María 21 1976 Stabilization in the braid groups. I: MTWS. Zbl 1128.57003Birman, Joan S.; Menasco, William W. 20 2006 Studying surfaces via closed braids. Zbl 0907.57006Birman, Joan S.; Finkelstein, Elizabeth 20 1998 The infimum, supremum, and geodesic length of a braid conjugacy class. Zbl 1063.20039Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin 19 2001 An algorithm for simple curves on surfaces. Zbl 0507.57006Birman, Joan S.; Series, Caroline 18 1984 A note on closed 3-braids. Zbl 1158.57006Birman, Joan S.; Menasco, William W. 18 2008 Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001Birman, Joan S.; Menasco, William W. 18 1992 A new twist on Lorenz links. Zbl 1233.57001Birman, Joan; Kofman, Ilya 18 2009 Lifting and projecting homeomorphisms. Zbl 0247.55001Birman, Joan S.; Hilden, Hugh M. 17 1972 Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001Birman, Joan S.; Menasco, William W. 15 1991 On transversally simple knots. Zbl 1026.57005Birman, Joan S.; Wrinkle, Nancy C. 15 2000 A new algorithm for recognizing the unknot. Zbl 0955.57005Birman, Joan S.; Hirsch, Michael D. 15 1998 Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan 13 2008 Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033Birman, Joan S.; Series, Caroline 11 1987 On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002Birman, Joan S. 10 1975 Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007Birman, Joan S.; Series, Caroline 9 1988 Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002Birman, Joan S.; Hilden, Hugh M. 9 1972 Efficient geodesics and an effective algorithm for distance in the complex of curves. Zbl 1350.05022Birman, Joan; Margalit, Dan; Menasco, William 8 2016 One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003Rubinstein, J. H.; Birman, J. S. 8 1984 The homeomorphism problem for S\(^3\). Zbl 0272.57001Birman, Joan S.; Hilden, Hugh M. 8 1973 Automorphisms of the fundamental group of a closed, orientable 2- manifolds. Zbl 0175.50103Birman, J. S. 8 1969 On Markov’s theorem. Zbl 1059.57002Birman, Joan S.; Menasco, William W. 7 2002 Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007Birman, Joan S.; Kanenobu, Taizo 6 1988 Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053Birman, Joan S.; Hilden, Hugh M. 6 2017 Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001Birman, Joan S.; Kidwell, Mark E. 6 1982 The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. Zbl 1304.57033Birman, Joan S. 6 2006 Finite-dimensional representations of Artin’s braid group. Zbl 0847.20035Birman, J. S.; Long, D. D.; Moody, J. A. 6 1994 Errata: Presentations of the mapping class group. Zbl 0811.57019Birman, Joan S.; Wajnryb, Bronislaw 6 1994 Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025Birman, Joan S.; Wajnryb, Bronislaw 5 1986 Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009Birman, Joan; Broaddus, Nathan; Menasco, William 5 2015 Mapping class groups of surfaces. Zbl 0663.57008Birman, Joan S. 5 1988 On minimal Heegaard splittings. Zbl 0436.57003Birman, Joan S.; Montesinos, José María 5 1980 Poincaré’s conjecture and the homeotopy group of a closed orientable 2- manifold. Zbl 0282.55003Birman, Joan S. 5 1974 Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015Birman, Joan S.; Wrinkle, Nancy C. 5 2000 The curve complex has dead ends. Zbl 1335.57031Birman, Joan S.; Menasco, William W. 4 2015 A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds. Zbl 0253.55001Birman, Joan S. 4 1972 Plat presentations for link groups. Zbl 0266.20027Birman, Joan S. 4 1973 Abelian quotients of the mapping class group of a 2-manifold. Zbl 0191.22401Birman, J. S. 4 1970 3-fold branched coverings and the mapping class group of a surface. Zbl 0589.57009Birman, Joan S.; Wajnryb, Bronislaw 3 1985 Recent developments in braid and link theory. Zbl 0713.57002Birman, Joan S. 3 1991 On the combinatorics of Vassiliev invariants. Zbl 0938.57004Birman, Joan S. 3 1994 Non-conjugate braids can define isotopic knots. Zbl 0187.45502Birman, J. S. 3 1969 Braids. Proceedings of the AMS-IMS-SIAM joint summer research conference on Artin’s braid group, University of California, Santa Cruz, CA, USA, July 13–26, 1986. Zbl 0651.00010 3 1988 Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko 3 2012 Collected mathematical papers. Volume 1 (1913–1932). Volume 2 (1932–1955). Ed. for the Danish Mathematical Society by Vagn Lundsgaard Hansen. Zbl 0609.01050Nielsen, Jakob 2 1986 Calculating the image of the second Johnson-Morita representation. Zbl 1183.57016Birman, Joan S.; Brendle, Tara E.; Broaddus, Nathan 2 2008 Towards an implementation of the B-H algorithm for recognizing the unknot. Zbl 1007.57004Birman, Joan S.; Rampichini, Marta; Boldi, Paolo; Vigna, Sebastiano 2 2002 Studying links via closed braids. Zbl 0835.57002Birman, Joan 2 1994 Braided chord diagrams. Zbl 0896.57003Birman, Joan S.; Trapp, Rolland 2 1998 Book review of: Christian Kassel and Vladimir Turaev, Braid groups; Patrick Dehornoy, Ivan Dynnikov, Dale Rolfsen and Bert Wiest, Ordering braids. Zbl 1292.00013Birman, Joan S. 1 2011 Obstructions to trivializing a knot. Zbl 1074.57002Birman, Joan S.; Moody, John Atwell 1 2004 A representation theorem for fibered knots and their monodromy maps. Zbl 0406.57004Birman, Joan S. 1 1979 Sepcial Heegaard splittings for closed, oriented 3-manifolds. Zbl 0412.57009Birman, Joan S. 1 1978 Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001Birman, J. S. 1 1971 A note on the construction of simply-connected 3-manifolds as branched covering spaces of \(S^3\). Zbl 0325.55003Birman, Joan S. 1 1976 Discriminant and projective invariants of binary forms. Zbl 0189.55002Birman, J.; Magnus, W. 1 1970 Knots 2000 Korea. Vol. 2. Proceedings of the conference held jointly with the 8th Korea-Japan school of knots and links in Yongpyong, Korea, July 31–August 5, 2000. Zbl 0995.00511 1 2002 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 The mathematics of Lorenz knots. Zbl 1270.37001Birman, Joan S. 1 2013 Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053Birman, Joan S.; Hilden, Hugh M. 6 2017 Efficient geodesics and an effective algorithm for distance in the complex of curves. Zbl 1350.05022Birman, Joan; Margalit, Dan; Menasco, William 8 2016 Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009Birman, Joan; Broaddus, Nathan; Menasco, William 5 2015 The curve complex has dead ends. Zbl 1335.57031Birman, Joan S.; Menasco, William W. 4 2015 The mathematics of Lorenz knots. Zbl 1270.37001Birman, Joan S. 1 2013 Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko 3 2012 Book review of: Christian Kassel and Vladimir Turaev, Braid groups; Patrick Dehornoy, Ivan Dynnikov, Dale Rolfsen and Bert Wiest, Ordering braids. Zbl 1292.00013Birman, Joan S. 1 2011 A new twist on Lorenz links. Zbl 1233.57001Birman, Joan; Kofman, Ilya 18 2009 A note on closed 3-braids. Zbl 1158.57006Birman, Joan S.; Menasco, William W. 18 2008 Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan 13 2008 Calculating the image of the second Johnson-Morita representation. Zbl 1183.57016Birman, Joan S.; Brendle, Tara E.; Broaddus, Nathan 2 2008 Conjugacy in Garside groups. I: Cyclings, powers and rigidity. Zbl 1160.20026Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan 24 2007 Conjugacy in Garside groups. III: Periodic braids. Zbl 1165.20031Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan 21 2007 Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005Birman, Joan S.; Menasco, William W. 31 2006 Stabilization in the braid groups. I: MTWS. Zbl 1128.57003Birman, Joan S.; Menasco, William W. 20 2006 The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. Zbl 1304.57033Birman, Joan S. 6 2006 Braids: a survey. Zbl 1094.57006Birman, Joan S.; Brendle, Tara E. 46 2005 Obstructions to trivializing a knot. Zbl 1074.57002Birman, Joan S.; Moody, John Atwell 1 2004 On Markov’s theorem. Zbl 1059.57002Birman, Joan S.; Menasco, William W. 7 2002 Towards an implementation of the B-H algorithm for recognizing the unknot. Zbl 1007.57004Birman, Joan S.; Rampichini, Marta; Boldi, Paolo; Vigna, Sebastiano 2 2002 Knots 2000 Korea. Vol. 2. Proceedings of the conference held jointly with the 8th Korea-Japan school of knots and links in Yongpyong, Korea, July 31–August 5, 2000. Zbl 0995.00511 1 2002 The infimum, supremum, and geodesic length of a braid conjugacy class. Zbl 1063.20039Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin 19 2001 On transversally simple knots. Zbl 1026.57005Birman, Joan S.; Wrinkle, Nancy C. 15 2000 Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015Birman, Joan S.; Wrinkle, Nancy C. 5 2000 A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin 142 1998 Studying surfaces via closed braids. Zbl 0907.57006Birman, Joan S.; Finkelstein, Elizabeth 20 1998 A new algorithm for recognizing the unknot. Zbl 0955.57005Birman, Joan S.; Hirsch, Michael D. 15 1998 Braided chord diagrams. Zbl 0896.57003Birman, Joan S.; Trapp, Rolland 2 1998 Special positions for essential tori in link complements. Zbl 0833.57004Birman, Joan S.; Menasco, William W. 23 1994 Finite-dimensional representations of Artin’s braid group. Zbl 0847.20035Birman, J. S.; Long, D. D.; Moody, J. A. 6 1994 Errata: Presentations of the mapping class group. Zbl 0811.57019Birman, Joan S.; Wajnryb, Bronislaw 6 1994 On the combinatorics of Vassiliev invariants. Zbl 0938.57004Birman, Joan S. 3 1994 Studying links via closed braids. Zbl 0835.57002Birman, Joan 2 1994 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 Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011Birman, Joan S.; Lin, Xiao-Song 141 1993 New points of view in knot theory. Zbl 0785.57001Birman, Joan S. 121 1993 Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010Birman, Joan S.; Menasco, William W. 58 1993 Studying links via closed braids. V: The unlink. Zbl 0758.57005Birman, Joan S.; Menasco, William W. 28 1992 Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002Birman, Joan S.; Menasco, William W. 22 1992 Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001Birman, Joan S.; Menasco, William W. 18 1992 Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001Birman, Joan S.; Menasco, William W. 15 1991 Recent developments in braid and link theory. Zbl 0713.57002Birman, Joan S. 3 1991 Studying links via closed braids. IV: Composite links and split links. Zbl 0711.57006Birman, Joan S.; Menasco, William W. 40 1990 Braids, link polynomials and a new algebra. Zbl 0684.57004Birman, Joan S.; Wenzl, Hans 151 1989 Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007Birman, Joan S.; Series, Caroline 9 1988 Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007Birman, Joan S.; Kanenobu, Taizo 6 1988 Mapping class groups of surfaces. Zbl 0663.57008Birman, Joan S. 5 1988 Braids. Proceedings of the AMS-IMS-SIAM joint summer research conference on Artin’s braid group, University of California, Santa Cruz, CA, USA, July 13–26, 1986. Zbl 0651.00010 3 1988 Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033Birman, Joan S.; Series, Caroline 11 1987 Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025Birman, Joan S.; Wajnryb, Bronislaw 5 1986 Collected mathematical papers. Volume 1 (1913–1932). Volume 2 (1932–1955). Ed. for the Danish Mathematical Society by Vagn Lundsgaard Hansen. Zbl 0609.01050Nielsen, Jakob 2 1986 Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006Birman, Joan S.; Series, Caroline 40 1985 On the Jones polynomial of closed 3-braids. Zbl 0588.57005Birman, Joan S. 26 1985 3-fold branched coverings and the mapping class group of a surface. Zbl 0589.57009Birman, Joan S.; Wajnryb, Bronislaw 3 1985 An algorithm for simple curves on surfaces. Zbl 0507.57006Birman, Joan S.; Series, Caroline 18 1984 One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003Rubinstein, J. H.; Birman, J. S. 8 1984 Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038Birman, Joan S.; Williams, R. F. 118 1983 Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004Birman, Joan S.; Lubotzky, Alex; McCarthy, John 95 1983 Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043Birman, Joan S.; Williams, R. F. 65 1983 Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001Birman, Joan S.; Kidwell, Mark E. 6 1982 On minimal Heegaard splittings. Zbl 0436.57003Birman, Joan S.; Montesinos, José María 5 1980 A representation theorem for fibered knots and their monodromy maps. Zbl 0406.57004Birman, Joan S. 1 1979 The \(\mu\)-invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed, oriented 2-manifold. Zbl 0383.57006Birman, Joan S.; Craggs, R. 28 1978 Sepcial Heegaard splittings for closed, oriented 3-manifolds. Zbl 0412.57009Birman, Joan S. 1 1978 On the stable equivalence of plat representations of knots and links. Zbl 0339.55005Birman, Joan S. 22 1976 Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María 21 1976 A note on the construction of simply-connected 3-manifolds as branched covering spaces of \(S^3\). Zbl 0325.55003Birman, Joan S. 1 1976 Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013Birman, Joan S. 190 1975 Heegaard splittings of branched coverings of \(S^3\). Zbl 0312.55004Birman, Joan S.; Hilden, Hugh M. 36 1975 On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002Birman, Joan S. 10 1975 Mapping class groups of surfaces: a survey. Zbl 0297.57001Birman, Joan S. 76 1974 Poincaré’s conjecture and the homeotopy group of a closed orientable 2- manifold. Zbl 0282.55003Birman, Joan S. 5 1974 On isotopies of homeomorphisms of Riemann surfaces. Zbl 0237.57001Birman, Joan S.; Hilden, Hugh M. 59 1973 An inverse function theorem for free groups. Zbl 0274.20032Birman, Joan S. 26 1973 The homeomorphism problem for S\(^3\). Zbl 0272.57001Birman, Joan S.; Hilden, Hugh M. 8 1973 Plat presentations for link groups. Zbl 0266.20027Birman, Joan S. 4 1973 On the homeotopy group of a non-orientable surface. Zbl 0232.57001Birman, Joan S.; Chillingworth, D. R. J. 29 1972 Lifting and projecting homeomorphisms. Zbl 0247.55001Birman, Joan S.; Hilden, Hugh M. 17 1972 Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002Birman, Joan S.; Hilden, Hugh M. 9 1972 A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds. Zbl 0253.55001Birman, Joan S. 4 1972 On the mapping class groups of closed surfaces as covering spaces. Zbl 0217.48602Birman, J. S.; Hilden, H. M. 53 1971 On Siegel’s modular group. Zbl 0208.10601Birman, J. S. 33 1971 Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001Birman, J. S. 1 1971 Abelian quotients of the mapping class group of a 2-manifold. Zbl 0191.22401Birman, J. S. 4 1970 Discriminant and projective invariants of binary forms. Zbl 0189.55002Birman, J.; Magnus, W. 1 1970 Mapping class groups and their relationship to braid groups. Zbl 0167.21503Birman, J. S. 98 1969 On braid groups. Zbl 0157.30904Birman, Joan S. 55 1969 Automorphisms of the fundamental group of a closed, orientable 2- manifolds. Zbl 0175.50103Birman, J. S. 8 1969 Non-conjugate braids can define isotopic knots. Zbl 0187.45502Birman, J. S. 3 1969 all cited Publications top 5 cited Publications all top 5 Cited by 1,579 Authors 30 Birman, Joan S. 24 Stoimenow, Alexander 22 González-Meneses, Juan 22 Ito, Tetsuya 21 Margalit, Dan 17 Guaschi, John 14 Menasco, William W. 13 Gonçalves, Daciberg Lima 13 Kawamuro, Keiko 13 Lee, Sangjin 13 Leininger, Christopher J. 12 Abdulrahim, Mohammad N. 12 Cavicchioli, Alberto 12 Dehornoy, Patrick 12 Putman, Andrew 11 Kanenobu, Taizo 11 Ohyama, Yoshiyuki 11 Paris, Luis 11 Wiest, Bertold 10 Letellier, Christophe 10 Rui, Hebing 10 Sullivan, Michael C. 10 Wenzl, Hans 9 Aramayona, Javier 9 Brendle, Tara E. 9 Franco, Nuno 9 Gebhardt, Volker 9 Kauffman, Louis Hirsch 9 Park, Chan-Young 9 Spaggiari, Fulvia 9 Stukow, Michał 9 Szepietowski, Błażej 8 Elrifai, Elsayed A. 8 Jeong, Myeong-Ju 8 Jones, Vaughan Frederick Randal 8 Lee, Eonkyung 7 Ghrist, Robert W. 7 Goodman, Frederick M. 7 Ko, Ki Hyoung 7 Lin, Xiao-Song 7 Orevkov, Stepan Yur’evich 7 Schleimer, Saul 7 Shpilrain, Vladimir 7 Vershinin, Vladimir V. 7 Zhang, Ruibin 7 Zieschang, Heiner 6 Boileau, Michel Charles 6 Bokut, Leonid A. 6 Calvez, Matthieu 6 Dasbach, Oliver T. 6 East, James 6 Etnyre, John B. 6 Fromentin, Jean 6 Gilmore, Robert 6 Hirose, Susumu 6 Hu, Jun 6 Humphries, Stephen P. 6 Ito, Noboru 6 Lambropoulou, Sofia S. F. 6 Lehrer, Gustav Isaac 6 Marin, Ivan 6 Martin, Paul Purdon 6 Murakami, Jun 6 Przytycki, Józef Henryk 6 Rowell, Eric C. 6 Si, Mei 6 Taheri, Ali 6 Ushakov, Alexander S. 6 Williams, Robert F. 5 Atalan, Ferihe 5 Bataineh, Khaled 5 Brandenbursky, Michael 5 Chen, Lei 5 Corran, Ruth 5 Diao, Yuanan 5 Eisermann, Michael 5 Elhamdadi, Mohamed 5 Gobet, Thomas 5 Horiuchi, Sumiko 5 Juyumaya, Jesús 5 Kamada, Seiichi 5 Kent, Autumn Exum 5 Koberda, Thomas 5 Kozlovskaya, Tatyana Anatolevna 5 Le, Thang Tu Quoc 5 Liu, Zhengwei 5 Manturov, Vassiliĭ Olegovich 5 Morita, Shigeyuki 5 Ng, Lenhard L. 5 Ozawa, Makoto 5 Picantin, Matthieu 5 Rolfsen, Dale 5 Roman’kov, Vitaly Anatol’evich 5 Sato, Masatoshi 5 Series, Caroline 5 Souto, Juan 5 Telloni, Agnese Ilaria 4 Antony, Noelle 4 Behrstock, Jason A. 4 Bessis, David ...and 1,479 more Authors all top 5 Cited in 268 Serials 173 Journal of Knot Theory and its Ramifications 116 Topology and its Applications 66 Journal of Algebra 66 Algebraic & Geometric Topology 63 Transactions of the American Mathematical Society 56 Proceedings of the American Mathematical Society 42 Geometriae Dedicata 39 Geometry & Topology 38 Communications in Mathematical Physics 34 Mathematische Annalen 29 Journal of Pure and Applied Algebra 27 Advances in Mathematics 27 Mathematische Zeitschrift 21 Annales de l’Institut Fourier 21 Duke Mathematical Journal 20 Inventiones Mathematicae 20 Bulletin of the American Mathematical Society. New Series 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Israel Journal of Mathematics 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Chaos, Solitons and Fractals 14 Osaka Journal of Mathematics 14 Journal of Mathematical Sciences (New York) 13 Communications in Algebra 13 Groups, Geometry, and Dynamics 12 Physica D 11 Nuclear Physics. B 11 Journal für die Reine und Angewandte Mathematik 11 Journal of the American Mathematical Society 10 International Journal of Theoretical Physics 10 Ergodic Theory and Dynamical Systems 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of Mathematical Physics 9 International Journal of Algebra and Computation 9 Chaos 9 Journal of Topology 8 Bulletin of the Australian Mathematical Society 8 Discrete Mathematics 8 Archiv der Mathematik 8 Pacific Journal of Mathematics 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Experimental Mathematics 8 St. Petersburg Mathematical Journal 7 Glasgow Mathematical Journal 7 Manuscripta Mathematica 7 Michigan Mathematical Journal 7 Proceedings of the Japan Academy. Series A 7 Siberian Mathematical Journal 7 Geometric and Functional Analysis. GAFA 7 Algebras and Representation Theory 7 Annals of Mathematics. Second Series 7 Journal of Topology and Analysis 7 Groups, Complexity, Cryptology 7 Quantum Topology 7 Winter Braids Lecture Notes 6 Journal of Geometry and Physics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Applied Mathematics and Computation 6 Journal of the Mathematical Society of Japan 6 Tokyo Journal of Mathematics 6 International Journal of Mathematics 6 Journal of the European Mathematical Society (JEMS) 6 Journal of High Energy Physics 5 Mathematical Notes 5 Bulletin of the London Mathematical Society 5 Indiana University Mathematics Journal 5 Journal of Combinatorial Theory. Series A 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 European Journal of Combinatorics 5 Annales Mathématiques Blaise Pascal 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Journal of the Australian Mathematical Society 4 Compositio Mathematica 4 Journal of Soviet Mathematics 4 Nagoya Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Tôhoku Mathematical Journal. Second Series 4 Discrete & Computational Geometry 4 Quantum Information Processing 4 Mediterranean Journal of Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Discrete Applied Mathematics 3 Journal of Statistical Physics 3 Rocky Mountain Journal of Mathematics 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Acta Mathematica Vietnamica 3 Algebra and Logic 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Combinatorial Theory. Series B 3 Journal of Geometry 3 Journal of the London Mathematical Society. Second Series 3 Memoirs of the American Mathematical Society 3 Transactions of the Moscow Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematica Hungarica 3 Journal of Symbolic Computation 3 Selecta Mathematica. New Series 3 Doklady Mathematics 3 Conformal Geometry and Dynamics 3 Journal of Group Theory ...and 168 more Serials all top 5 Cited in 52 Fields 1,087 Manifolds and cell complexes (57-XX) 705 Group theory and generalizations (20-XX) 186 Dynamical systems and ergodic theory (37-XX) 94 Quantum theory (81-XX) 92 Combinatorics (05-XX) 89 Nonassociative rings and algebras (17-XX) 84 Associative rings and algebras (16-XX) 83 Several complex variables and analytic spaces (32-XX) 77 Algebraic topology (55-XX) 75 Algebraic geometry (14-XX) 73 Differential geometry (53-XX) 67 Functions of a complex variable (30-XX) 57 Computer science (68-XX) 42 Category theory; homological algebra (18-XX) 34 Global analysis, analysis on manifolds (58-XX) 32 Number theory (11-XX) 23 Functional analysis (46-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Topological groups, Lie groups (22-XX) 21 Ordinary differential equations (34-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 16 General topology (54-XX) 15 Relativity and gravitational theory (83-XX) 15 Information and communication theory, circuits (94-XX) 12 History and biography (01-XX) 12 Mathematical logic and foundations (03-XX) 12 Probability theory and stochastic processes (60-XX) 11 Commutative algebra (13-XX) 11 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 8 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Convex and discrete geometry (52-XX) 6 General algebraic systems (08-XX) 6 \(K\)-theory (19-XX) 6 Measure and integration (28-XX) 6 Geometry (51-XX) 6 Numerical analysis (65-XX) 6 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 Field theory and polynomials (12-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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