Edit Profile (opens in new tab) Birman, Joan S. Compute Distance To: Compute 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 1,071 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 88 Publications have been cited 2,197 times in 1,605 Documents Cited by ▼ Year ▼ Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013Birman, Joan S. 179 1975 A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin 139 1998 Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011Birman, Joan S.; Lin, Xiao-Song 138 1993 Braids, link polynomials and a new algebra. Zbl 0684.57004Birman, Joan S.; Wenzl, Hans 135 1989 New points of view in knot theory. Zbl 0785.57001Birman, Joan S. 120 1993 Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038Birman, Joan S.; Williams, R. F. 112 1983 Mapping class groups and their relationship to braid groups. Zbl 0167.21503Birman, J. S. 91 1969 Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004Birman, Joan S.; Lubotzky, Alex; McCarthy, John 89 1983 Mapping class groups of surfaces: a survey. Zbl 0297.57001Birman, Joan S. 75 1974 Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043Birman, Joan S.; Williams, R. F. 61 1983 Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010Birman, Joan S.; Menasco, William W. 56 1993 On isotopies of homeomorphisms of Riemann surfaces. Zbl 0237.57001Birman, Joan S.; Hilden, Hugh M. 56 1973 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. 43 1971 Braids: a survey. Zbl 1094.57006Birman, Joan S.; Brendle, Tara E. 38 2005 Studying links via closed braids. IV: Composite links and split links. Zbl 0711.57006Birman, Joan S.; Menasco, William W. 38 1990 Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006Birman, Joan S.; Series, Caroline 37 1985 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 Studying links via closed braids. V: The unlink. Zbl 0758.57005Birman, Joan S.; Menasco, William W. 28 1992 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 Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005Birman, Joan S.; Menasco, William W. 27 2006 On the homeotopy group of a non-orientable surface. Zbl 0232.57001Birman, Joan S.; Chillingworth, D. R. J. 27 1972 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 Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María 21 1976 Conjugacy in Garside groups. III: Periodic braids. Zbl 1165.20031Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan 21 2007 Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002Birman, Joan S.; Menasco, William W. 20 1992 Studying surfaces via closed braids. Zbl 0907.57006Birman, Joan S.; Finkelstein, Elizabeth 19 1998 Stabilization in the braid groups. I: MTWS. Zbl 1128.57003Birman, Joan S.; Menasco, William W. 18 2006 The infimum, supremum, and geodesic length of a braid conjugacy class. Zbl 1063.20039Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin 18 2001 An algorithm for simple curves on surfaces. Zbl 0507.57006Birman, Joan S.; Series, Caroline 17 1984 Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001Birman, Joan S.; Menasco, William W. 16 1992 Lifting and projecting homeomorphisms. Zbl 0247.55001Birman, Joan S.; Hilden, Hugh M. 16 1972 A note on closed 3-braids. Zbl 1158.57006Birman, Joan S.; Menasco, William W. 15 2008 On transversally simple knots. Zbl 1026.57005Birman, Joan S.; Wrinkle, Nancy C. 15 2000 Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan 13 2008 Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001Birman, Joan S.; Menasco, William W. 13 1991 A new twist on Lorenz links. Zbl 1233.57001Birman, Joan; Kofman, Ilya 13 2009 A new algorithm for recognizing the unknot. Zbl 0955.57005Birman, Joan S.; Hirsch, Michael D. 13 1998 Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033Birman, Joan S.; Series, Caroline 10 1987 On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002Birman, Joan S. 9 1975 Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007Birman, Joan S.; Series, Caroline 8 1988 Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002Birman, Joan S.; Hilden, Hugh M. 8 1972 The homeomorphism problem for S\(^3\). Zbl 0272.57001Birman, Joan S.; Hilden, Hugh M. 8 1973 One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003Rubinstein, J. H.; Birman, J. S. 8 1984 Automorphisms of the fundamental group of a closed, orientable 2- manifolds. Zbl 0175.50103Birman, J. S. 8 1969 Efficient geodesics and an effective algorithm for distance in the complex of curves. Zbl 1350.05022Birman, Joan; Margalit, Dan; Menasco, William 8 2016 On Markov’s theorem. Zbl 1059.57002Birman, Joan S.; Menasco, William W. 7 2002 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 Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007Birman, Joan S.; Kanenobu, Taizo 6 1988 The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. Zbl 1304.57033Birman, Joan S. 6 2006 Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001Birman, Joan S.; Kidwell, Mark E. 6 1982 Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025Birman, Joan S.; Wajnryb, Bronislaw 5 1986 Poincaré’s conjecture and the homeotopy group of a closed orientable 2- manifold. Zbl 0282.55003Birman, Joan S. 5 1974 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 Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009Birman, Joan; Broaddus, Nathan; Menasco, William 5 2015 Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015Birman, Joan S.; Wrinkle, Nancy C. 5 2000 Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053Birman, Joan S.; Hilden, Hugh M. 4 2017 The curve complex has dead ends. Zbl 1335.57031Birman, Joan S.; Menasco, William W. 4 2015 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 On the combinatorics of Vassiliev invariants. Zbl 0938.57004Birman, Joan S. 3 1994 Recent developments in braid and link theory. Zbl 0713.57002Birman, Joan S. 3 1991 Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko 3 2012 Non-conjugate braids can define isotopic knots. Zbl 0187.45502Birman, J. S. 3 1969 A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds. Zbl 0253.55001Birman, Joan S. 3 1972 Braided chord diagrams. Zbl 0896.57003Birman, Joan S.; Trapp, Rolland 2 1998 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 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 2 1988 Studying links via closed braids. Zbl 0835.57002Birman, Joan 2 1994 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 Calculating the image of the second Johnson-Morita representation. Zbl 1183.57016Birman, Joan S.; Brendle, Tara E.; Broaddus, Nathan 2 2008 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 Obstructions to trivializing a knot. Zbl 1074.57002Birman, Joan S.; Moody, John Atwell 1 2004 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 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 note on the construction of simply-connected 3-manifolds as branched covering spaces of \(S^3\). Zbl 0325.55003Birman, Joan S. 1 1976 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 Discriminant and projective invariants of binary forms. Zbl 0189.55002Birman, J.; Magnus, W. 1 1970 Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053Birman, Joan S.; Hilden, Hugh M. 4 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 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 13 2009 A note on closed 3-braids. Zbl 1158.57006Birman, Joan S.; Menasco, William W. 15 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. 27 2006 Stabilization in the braid groups. I: MTWS. Zbl 1128.57003Birman, Joan S.; Menasco, William W. 18 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. 38 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 18 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 139 1998 Studying surfaces via closed braids. Zbl 0907.57006Birman, Joan S.; Finkelstein, Elizabeth 19 1998 A new algorithm for recognizing the unknot. Zbl 0955.57005Birman, Joan S.; Hirsch, Michael D. 13 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 138 1993 New points of view in knot theory. Zbl 0785.57001Birman, Joan S. 120 1993 Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010Birman, Joan S.; Menasco, William W. 56 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. 20 1992 Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001Birman, Joan S.; Menasco, William W. 16 1992 Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001Birman, Joan S.; Menasco, William W. 13 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. 38 1990 Braids, link polynomials and a new algebra. Zbl 0684.57004Birman, Joan S.; Wenzl, Hans 135 1989 Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007Birman, Joan S.; Series, Caroline 8 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 2 1988 Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033Birman, Joan S.; Series, Caroline 10 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 37 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 17 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. 112 1983 Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004Birman, Joan S.; Lubotzky, Alex; McCarthy, John 89 1983 Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043Birman, Joan S.; Williams, R. F. 61 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. 179 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. 9 1975 Mapping class groups of surfaces: a survey. Zbl 0297.57001Birman, Joan S. 75 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. 56 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. 27 1972 Lifting and projecting homeomorphisms. Zbl 0247.55001Birman, Joan S.; Hilden, Hugh M. 16 1972 Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002Birman, Joan S.; Hilden, Hugh M. 8 1972 A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds. Zbl 0253.55001Birman, Joan S. 3 1972 On the mapping class groups of closed surfaces as covering spaces. Zbl 0217.48602Birman, J. S.; Hilden, H. M. 43 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. 91 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 1,508 Authors 31 Birman, Joan S. 24 Stoimenow, Alexander 22 González-Meneses, Juan 19 Ito, Tetsuya 19 Margalit, Dan 17 Guaschi, John 14 Menasco, William W. 13 Gonçalves, Daciberg Lima 13 Lee, Sangjin 12 Cavicchioli, Alberto 12 Putman, Andrew 11 Abdulrahim, Mohammad N. 11 Kanenobu, Taizo 11 Kawamuro, Keiko 11 Leininger, Christopher J. 11 Ohyama, Yoshiyuki 11 Paris, Luis 11 Wiest, Bertold 10 Dehornoy, Patrick 10 Letellier, Christophe 10 Sullivan, Michael C. 9 Aramayona, Javier 9 Brendle, Tara E. 9 Gebhardt, Volker 9 Park, Chan-Young 9 Rui, Hebing 9 Spaggiari, Fulvia 9 Szepietowski, Błażej 9 Wenzl, Hans 8 Elrifai, Elsayed A. 8 Franco, Nuno 8 Jeong, Myeong-Ju 8 Jones, Vaughan Frederick Randal 8 Lee, Eonkyung 8 Stukow, Michał 7 Ghrist, Robert W. 7 Goodman, Frederick M. 7 Kauffman, Louis Hirsch 7 Ko, Ki Hyoung 7 Lin, Xiao-Song 7 Orevkov, Stepan Yur’evich 7 Schleimer, Saul 7 Shpilrain, Vladimir 7 Vershinin, Vladimir V. 7 Zieschang, Heiner 6 Boileau, Michel Charles 6 Bokut, Leonid A. 6 Calvez, Matthieu 6 Dasbach, Oliver T. 6 East, James 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 Marin, Ivan 6 Murakami, Jun 6 Przytycki, Józef Henryk 6 Si, Mei 6 Taheri, Ali 6 Ushakov, Alexander S. 6 Williams, Robert F. 6 Zhang, Ruibin 5 Bataineh, Khaled 5 Brandenbursky, Michael 5 Chen, Lei 5 Corran, Ruth 5 Diao, Yuanan 5 Eisermann, Michael 5 Elhamdadi, Mohamed 5 Etnyre, John B. 5 Gobet, Thomas 5 Horiuchi, Sumiko 5 Kamada, Seiichi 5 Kent, Autumn Exum 5 Kozlovskaya, Tatyana Anatolevna 5 Le, Thang Tu Quoc 5 Lehrer, Gustav Isaac 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 Rowell, Eric C. 5 Sato, Masatoshi 5 Series, Caroline 5 Telloni, Agnese Ilaria 4 Antony, Noelle 4 Atalan, Ferihe 4 Behrstock, Jason A. 4 Bessis, David 4 Bigelow, Stephen J. 4 Bonahon, Francis 4 Boyland, Philip L. 4 Ceniceros, Jose 4 Churchill, Indu R. U. ...and 1,408 more Authors all top 5 Cited in 261 Serials 168 Journal of Knot Theory and its Ramifications 111 Topology and its Applications 63 Journal of Algebra 63 Transactions of the American Mathematical Society 62 Algebraic & Geometric Topology 55 Proceedings of the American Mathematical Society 41 Geometriae Dedicata 39 Geometry & Topology 36 Communications in Mathematical Physics 33 Mathematische Annalen 27 Advances in Mathematics 26 Journal of Pure and Applied Algebra 26 Mathematische Zeitschrift 21 Annales de l’Institut Fourier 21 Duke Mathematical Journal 20 Inventiones Mathematicae 19 Bulletin of the American Mathematical Society. New Series 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 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 Groups, Geometry, and Dynamics 12 Communications in Algebra 12 Physica D 11 Journal für die Reine und Angewandte Mathematik 11 Journal of the American Mathematical Society 10 International Journal of Theoretical Physics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of Mathematical Physics 9 Ergodic Theory and Dynamical Systems 9 International Journal of Algebra and Computation 8 Discrete Mathematics 8 Nuclear Physics. B 8 Archiv der Mathematik 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 St. Petersburg Mathematical Journal 8 Chaos 7 Bulletin of the Australian Mathematical Society 7 Manuscripta Mathematica 7 Pacific Journal of Mathematics 7 Proceedings of the Japan Academy. Series A 7 Siberian Mathematical Journal 7 Geometric and Functional Analysis. GAFA 7 Experimental Mathematics 7 Algebras and Representation Theory 7 Annals of Mathematics. Second Series 7 Journal of Topology and Analysis 7 Groups, Complexity, Cryptology 7 Quantum Topology 6 Journal of Geometry and Physics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Applied Mathematics and Computation 6 Glasgow Mathematical Journal 6 Journal of the Mathematical Society of Japan 6 Michigan Mathematical Journal 6 Tokyo Journal of Mathematics 6 International Journal of Mathematics 6 Journal of High Energy Physics 6 Winter Braids Lecture Notes 5 Mathematical Notes 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 European Mathematical Society (JEMS) 5 Journal of the Australian Mathematical Society 5 Journal of Topology 4 Compositio Mathematica 4 Indiana University Mathematics Journal 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 Journal of Statistical Physics 3 The Mathematical Intelligencer 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 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 3 Physical Review Letters 3 Journal of Algebra and its Applications 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Bulletin of the American Mathematical Society ...and 161 more Serials all top 5 Cited in 52 Fields 1,043 Manifolds and cell complexes (57-XX) 677 Group theory and generalizations (20-XX) 176 Dynamical systems and ergodic theory (37-XX) 89 Combinatorics (05-XX) 88 Quantum theory (81-XX) 84 Associative rings and algebras (16-XX) 80 Nonassociative rings and algebras (17-XX) 79 Several complex variables and analytic spaces (32-XX) 76 Algebraic topology (55-XX) 72 Algebraic geometry (14-XX) 67 Differential geometry (53-XX) 62 Functions of a complex variable (30-XX) 48 Computer science (68-XX) 37 Category theory; homological algebra (18-XX) 34 Global analysis, analysis on manifolds (58-XX) 31 Number theory (11-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Functional analysis (46-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 20 Topological groups, Lie groups (22-XX) 20 Ordinary differential equations (34-XX) 14 General topology (54-XX) 14 Information and communication theory, circuits (94-XX) 13 Relativity and gravitational theory (83-XX) 11 Commutative algebra (13-XX) 11 Partial differential equations (35-XX) 11 Probability theory and stochastic processes (60-XX) 11 Fluid mechanics (76-XX) 10 History and biography (01-XX) 10 Mathematical logic and foundations (03-XX) 8 Special functions (33-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 General algebraic systems (08-XX) 6 \(K\)-theory (19-XX) 6 Measure and integration (28-XX) 6 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 6 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 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. Updates and corrections should be made in Wikidata.