Edit Profile Birman, Joan S. Compute Distance To: Compute Author ID: birman.joan-s Published as: Birman, J.; Birman, J. S.; Birman, Joan; Birman, Joan S. Homepage: https://www.math.columbia.edu/~jb/ External Links: Women in Mathematics · MGP · Wikidata · Celebratio Mathematica · GND · MacTutor Documents Indexed: 104 Publications since 1969, including 5 Books Biographic References: 7 Publications all top 5 Co-Authors 33 single-authored 15 Menasco, William W. 7 Hilden, Hugh Michael 5 Ko, Ki Hyoung 5 Series, Caroline 3 Gebhardt, Volker 3 González-Meneses, Juan 3 Gordon, Cameron McA. 3 Jin, Gyo Taek 3 Kauffman, Louis Hirsch 3 Kawauchi, Akio 3 Levine, Jerome P. 3 Matsumoto, Yukio 3 Wajnryb, Bronislaw 2 Brendle, Tara E. 2 Broaddus, Nathan 2 Craggs, Robert 2 Lee, Sangjin 2 Magnus, Wilhelm 2 Montesinos-Amilibia, José María 2 Moody, John Atwell 2 Williams, Robert F. 2 Wrinkle, Nancy C. 1 Abikoff, William 1 Boldi, Paolo 1 Brinkmann, Peter 1 Chillingworth, D. R. J. 1 Finkelstein, Elizabeth 1 González Acuña, Francisco Javier 1 Hirsch, Michael D. 1 Johnson, Dennis L. 1 Kanenobu, Taizo 1 Kawamuro, Keiko 1 Kidwell, Mark Elliot 1 Kofman, Ilya 1 Kuiken, Kathryn 1 Landau, Susan Eva 1 Libgober, Anatoly S. 1 Lin, Xiao-Song 1 Long, Darren D. 1 Lubotzky, Alexander 1 Margalit, Dan 1 McCarthy, John D. 1 Pless, Vera S. 1 Powell, Jerome L. 1 Thomas Putman, Andrew 1 Rampichini, Marta 1 Rubinstein, J. Hyam 1 Srinivasan, Bhama 1 Taylor, Jean Ellen 1 Teicher, Mina 1 Tepper Haimo, Deborah 1 Trapp, Rolland 1 Vigna, Sebastiano 1 Wenzl, Hans 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 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Pacific Journal of Mathematics 3 Geometry & Topology 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Topology and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 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 Geometriae Dedicata 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 all top 5 Fields 84 Manifolds and cell complexes (57-XX) 34 Group theory and generalizations (20-XX) 8 General and overarching topics; collections (00-XX) 7 Algebraic topology (55-XX) 6 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 2 History and biography (01-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 87 Publications have been cited 2,024 times in 1,459 Documents Cited by ▼ Year ▼ Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013Birman, Joan S. 198 1975 A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin 126 1998 Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011Birman, Joan S.; Lin, Xiao-Song 124 1993 Braids, link polynomials and a new algebra. Zbl 0684.57004Birman, Joan S.; Wenzl, Hans 119 1989 Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038Birman, Joan S.; Williams, R. F. 105 1983 New points of view in knot theory. Zbl 0785.57001Birman, Joan S. 101 1993 Mapping class groups of surfaces: a survey. Zbl 0297.57001Birman, Joan S. 85 1974 Mapping class groups and their relationship to braid groups. Zbl 0167.21503Birman, J. S. 79 1969 Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004Birman, Joan S.; Lubotzky, Alex; McCarthy, John 75 1983 Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043Birman, Joan S.; Williams, R. F. 57 1983 Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010Birman, Joan S.; Menasco, William W. 51 1993 On the mapping class groups of closed surfaces as covering spaces. Zbl 0217.48602Birman, J. S.; Hilden, H. M. 48 1971 On braid groups. Zbl 0157.30904Birman, Joan S. 48 1969 On isotopies of homeomorphisms of Riemann surfaces. Zbl 0237.57001Birman, Joan S.; Hilden, Hugh M. 47 1973 Heegaard splittings of branched coverings of \(S^3\). Zbl 0312.55004Birman, Joan S.; Hilden, Hugh M. 35 1975 Studying links via closed braids. IV: Composite links and split links. Zbl 0711.57006Birman, Joan S.; Menasco, William W. 34 1990 On Siegel’s modular group. Zbl 0208.10601Birman, J. S. 31 1971 Braids: a survey. Zbl 1094.57006Birman, Joan S.; Brendle, Tara E. 28 2005 Studying links via closed braids. V: The unlink. Zbl 0758.57005Birman, Joan S.; Menasco, William W. 27 1992 Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006Birman, Joan S.; Series, Caroline 27 1985 Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005Birman, Joan S.; Menasco, William W. 26 2006 An inverse function theorem for free groups. Zbl 0274.20032Birman, Joan S. 25 1973 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. 24 1978 Conjugacy in Garside groups. I: Cyclings, powers and rigidity. Zbl 1160.20026Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan 23 2007 Conjugacy in Garside groups. III: Periodic braids. Zbl 1165.20031Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan 21 2007 Special positions for essential tori in link complements. Zbl 0833.57004Birman, Joan S.; Menasco, William W. 21 1994 On the Jones polynomial of closed 3-braids. Zbl 0588.57005Birman, Joan S. 21 1985 On the stable equivalence of plat representations of knots and links. Zbl 0339.55005Birman, Joan S. 21 1976 On the homeotopy group of a non-orientable surface. Zbl 0232.57001Birman, Joan S.; Chillingworth, D. R. J. 21 1972 Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María 20 1976 The infimum, supremum, and geodesic length of a braid conjugacy class. Zbl 1063.20039Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin 18 2001 Studying surfaces via closed braids. Zbl 0907.57006Birman, Joan S.; Finkelstein, Elizabeth 18 1998 Stabilization in the braid groups. I: MTWS. Zbl 1128.57003Birman, Joan S.; Menasco, William W. 17 2006 Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002Birman, Joan S.; Menasco, William W. 16 1992 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. 14 1998 Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001Birman, Joan S.; Menasco, William W. 14 1992 Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan 13 2008 An algorithm for simple curves on surfaces. Zbl 0507.57006Birman, Joan S.; Series, Caroline 13 1984 Lifting and projecting homeomorphisms. Zbl 0247.55001Birman, Joan S.; Hilden, Hugh M. 13 1972 A note on closed 3-braids. Zbl 1158.57006Birman, Joan S.; Menasco, William W. 12 2008 A new twist on Lorenz links. Zbl 1233.57001Birman, Joan; Kofman, Ilya 11 2009 Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001Birman, Joan S.; Menasco, William W. 11 1991 Mapping class groups of surfaces. Zbl 0663.57008Birman, Joan S. 8 1988 On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002Birman, Joan S. 8 1975 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 Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007Birman, Joan S.; Series, Caroline 7 1988 Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001Birman, Joan S.; Kidwell, Mark E. 7 1982 Efficient geodesics and an effective algorithm for distance in the complex of curves. Zbl 1350.05022Birman, Joan; Margalit, Dan; Menasco, William 6 2016 The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. Zbl 1304.57033Birman, Joan S. 6 2006 On Markov’s theorem. Zbl 1059.57002Birman, Joan S.; Menasco, William W. 6 2002 Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007Birman, Joan S.; Kanenobu, Taizo 6 1988 One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003Rubinstein, J. H.; Birman, J. S. 6 1984 Errata: Presentations of the mapping class group. Zbl 0811.57019Birman, Joan S.; Wajnryb, Bronislaw 5 1994 Finite-dimensional representations of Artin’s braid group. Zbl 0847.20035Birman, J. S.; Long, D. D.; Moody, J. A. 5 1994 Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025Birman, Joan S.; Wajnryb, Bronislaw 5 1986 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 Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002Birman, Joan S.; Hilden, Hugh M. 5 1972 Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053Birman, Joan S.; Hilden, Hugh M. 4 2017 Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009Birman, Joan; Broaddus, Nathan; Menasco, William 4 2015 Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015Birman, Joan S.; Wrinkle, Nancy C. 4 2000 Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033Birman, Joan S.; Series, Caroline 4 1987 3-fold branched coverings and the mapping class group of a surface. Zbl 0589.57009Birman, Joan S.; Wajnryb, Bronislaw 4 1985 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 The curve complex has dead ends. Zbl 1335.57031Birman, Joan S.; Menasco, William W. 3 2015 Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko 3 2012 Recent developments in braid and link theory. Zbl 0713.57002Birman, Joan S. 3 1991 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 Non-conjugate braids can define isotopic knots. Zbl 0187.45502Birman, J. S. 3 1969 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 Braided chord diagrams. Zbl 0896.57003Birman, Joan S.; Trapp, Rolland 2 1998 Studying links via closed braids. Zbl 0835.57002Birman, Joan 2 1994 On the combinatorics of Vassiliev invariants. Zbl 0938.57004Birman, Joan S. 2 1994 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 0651.00010Birman, Joan S. (ed.); Libgober, Anatoly (ed.) 2 1988 Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001Birman, J. S. 2 1971 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 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 0995.00511Birman, J. S. (ed.); Gordon, C. McA. (ed.); Jin, G. T. (ed.); Kauffman, L. H. (ed.); Kawauchi, A. (ed.); Ko, K. H. (ed.); Levine, J. P. (ed.); Matsumoto, Y. (ed.) 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 0801.00023Abikoff, William (ed.); Birman, Joan S. (ed.); Kuiken, Kathryn (ed.) 1 1994 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 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 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 6 2016 Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009Birman, Joan; Broaddus, Nathan; Menasco, William 4 2015 The curve complex has dead ends. Zbl 1335.57031Birman, Joan S.; Menasco, William W. 3 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 11 2009 Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan 13 2008 A note on closed 3-braids. Zbl 1158.57006Birman, Joan S.; Menasco, William W. 12 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 23 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. 26 2006 Stabilization in the braid groups. I: MTWS. Zbl 1128.57003Birman, Joan S.; Menasco, William W. 17 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. 28 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. 6 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 0995.00511Birman, J. S. (ed.); Gordon, C. McA. (ed.); Jin, G. T. (ed.); Kauffman, L. H. (ed.); Kawauchi, A. (ed.); Ko, K. H. (ed.); Levine, J. P. (ed.); Matsumoto, Y. (ed.) 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. 4 2000 A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin 126 1998 Studying surfaces via closed braids. Zbl 0907.57006Birman, Joan S.; Finkelstein, Elizabeth 18 1998 A new algorithm for recognizing the unknot. Zbl 0955.57005Birman, Joan S.; Hirsch, Michael D. 14 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. 21 1994 Errata: Presentations of the mapping class group. Zbl 0811.57019Birman, Joan S.; Wajnryb, Bronislaw 5 1994 Finite-dimensional representations of Artin’s braid group. Zbl 0847.20035Birman, J. S.; Long, D. D.; Moody, J. A. 5 1994 Studying links via closed braids. Zbl 0835.57002Birman, Joan 2 1994 On the combinatorics of Vassiliev invariants. Zbl 0938.57004Birman, Joan S. 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 0801.00023Abikoff, William (ed.); Birman, Joan S. (ed.); Kuiken, Kathryn (ed.) 1 1994 Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011Birman, Joan S.; Lin, Xiao-Song 124 1993 New points of view in knot theory. Zbl 0785.57001Birman, Joan S. 101 1993 Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010Birman, Joan S.; Menasco, William W. 51 1993 Studying links via closed braids. V: The unlink. Zbl 0758.57005Birman, Joan S.; Menasco, William W. 27 1992 Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002Birman, Joan S.; Menasco, William W. 16 1992 Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001Birman, Joan S.; Menasco, William W. 14 1992 Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001Birman, Joan S.; Menasco, William W. 11 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. 34 1990 Braids, link polynomials and a new algebra. Zbl 0684.57004Birman, Joan S.; Wenzl, Hans 119 1989 Mapping class groups of surfaces. Zbl 0663.57008Birman, Joan S. 8 1988 Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007Birman, Joan S.; Series, Caroline 7 1988 Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007Birman, Joan S.; Kanenobu, Taizo 6 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 0651.00010Birman, Joan S. (ed.); Libgober, Anatoly (ed.) 2 1988 Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033Birman, Joan S.; Series, Caroline 4 1987 Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025Birman, Joan S.; Wajnryb, Bronislaw 5 1986 Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006Birman, Joan S.; Series, Caroline 27 1985 On the Jones polynomial of closed 3-braids. Zbl 0588.57005Birman, Joan S. 21 1985 3-fold branched coverings and the mapping class group of a surface. Zbl 0589.57009Birman, Joan S.; Wajnryb, Bronislaw 4 1985 An algorithm for simple curves on surfaces. Zbl 0507.57006Birman, Joan S.; Series, Caroline 13 1984 One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003Rubinstein, J. H.; Birman, J. S. 6 1984 Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038Birman, Joan S.; Williams, R. F. 105 1983 Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004Birman, Joan S.; Lubotzky, Alex; McCarthy, John 75 1983 Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043Birman, Joan S.; Williams, R. F. 57 1983 Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001Birman, Joan S.; Kidwell, Mark E. 7 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. 24 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. 21 1976 Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María 20 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. 198 1975 Heegaard splittings of branched coverings of \(S^3\). Zbl 0312.55004Birman, Joan S.; Hilden, Hugh M. 35 1975 On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002Birman, Joan S. 8 1975 Mapping class groups of surfaces: a survey. Zbl 0297.57001Birman, Joan S. 85 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. 47 1973 An inverse function theorem for free groups. Zbl 0274.20032Birman, Joan S. 25 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. 21 1972 Lifting and projecting homeomorphisms. Zbl 0247.55001Birman, Joan S.; Hilden, Hugh M. 13 1972 Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002Birman, Joan S.; Hilden, Hugh M. 5 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. 48 1971 On Siegel’s modular group. Zbl 0208.10601Birman, J. S. 31 1971 Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001Birman, J. S. 2 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. 79 1969 On braid groups. Zbl 0157.30904Birman, Joan S. 48 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 1,370 Authors 29 Birman, Joan S. 22 González-Meneses, Juan 22 Stoimenow, Alexander 17 Ito, Tetsuya 17 Margalit, Dan 16 Guaschi, John 15 Dehornoy, Patrick 14 Menasco, William W. 13 Lee, Sangjin 12 Cavicchioli, Alberto 12 Gonçalves, Daciberg Lima 12 Thomas Putman, Andrew 11 Abdulrahim, Mohammad N. 11 Kanenobu, Taizo 11 Leininger, Christopher J. 11 Ohyama, Yoshiyuki 10 Kawamuro, Keiko 10 Paris, Luis 10 Wiest, Bertold 9 Brendle, Tara E. 9 Gebhardt, Volker 9 Park, Chan-Young 9 Spaggiari, Fulvia 9 Stukow, Michał 9 Sullivan, Michael C. 8 Elrifai, Elsayed A. 8 Franco, Nuno 8 Humphries, Stephen P. 8 Jeong, Myeong-Ju 8 Jones, Vaughan Frederick Randal 8 Lee, Eonkyung 8 Rui, Hebing 8 Wenzl, Hans 7 Aramayona, Javier 7 Ghrist, Robert W. 7 Goodman, Frederick M. 7 Ko, Ki Hyoung 7 Letellier, Christophe 7 Lin, Xiao-Song 7 Orevkov, Stepan Yur’evich 7 Schleimer, Saul 7 Shpilrain, Vladimir 7 Szepietowski, Błażej 7 Vershinin, Vladimir V. 6 Banks, Stephen Paul 6 Bokut, Leonid A. 6 Calvez, Matthieu 6 Dasbach, Oliver T. 6 East, James 6 Hirose, Susumu 6 Hu, Jun 6 Malyutin, Andrey V. 6 Murakami, Jun 6 Przytycki, Józef H. 6 Si, Mei 6 Taheri, Ali 6 Williams, Robert F. 6 Zhang, Ruibin 6 Zieschang, Heiner 5 Bataineh, Khaled 5 Boileau, Michel Charles 5 Cohen, Daniel C. 5 Corran, Ruth 5 Eisermann, Michael 5 Etnyre, John B. 5 Fromentin, Jean 5 Gilmore, Robert 5 Horiuchi, Sumiko 5 Kauffman, Louis Hirsch 5 Kent, Autumn Exum 5 Le, Thang Tu Quoc 5 Lehrer, Gustav Isaac 5 Manturov, Vassiliĭ Olegovich 5 Marin, Ivan 5 Morita, Shigeyuki 5 Ng, Lenhard L. 5 Roman’kov, Vitaly Anatol’evich 5 Rowell, Eric C. 5 Telloni, Agnese Ilaria 5 Ushakov, Alexander S. 4 Antony, Noelle 4 Atalan, Ferihe 4 Behrstock, Jason A. 4 Bellingeri, Paolo 4 Bessis, David 4 Bigelow, Stephen J. 4 Bonahon, Francis 4 Boyland, Philip L. 4 Brandenbursky, Michael 4 Cohen, Arjeh Marcel 4 Dehornoy, Pierre 4 Farb, Benson 4 Franks, John M. 4 Fujiwara, Koji 4 Gambaudo, Jean-Marc 4 Gouesbet, Gérard 4 Hayashi, Chuichiro 4 Johnson, Dennis L. 4 Kamada, Seiichi 4 Kasahara, Yasushi ...and 1,270 more Authors all top 5 Cited in 235 Serials 148 Journal of Knot Theory and its Ramifications 110 Topology and its Applications 64 Transactions of the American Mathematical Society 56 Journal of Algebra 55 Proceedings of the American Mathematical Society 54 Algebraic & Geometric Topology 38 Geometry & Topology 36 Communications in Mathematical Physics 32 Geometriae Dedicata 32 Mathematische Annalen 31 Advances in Mathematics 25 Journal of Pure and Applied Algebra 24 Mathematische Zeitschrift 21 Duke Mathematical Journal 19 Inventiones Mathematicae 18 Annales de l’Institut Fourier 18 Bulletin of the American Mathematical Society. New Series 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Chaos, Solitons and Fractals 15 Israel Journal of Mathematics 15 Mathematical Proceedings of the Cambridge Philosophical Society 14 Journal of Mathematical Sciences (New York) 13 Osaka Journal of Mathematics 12 Communications in Algebra 11 Physica D 11 Groups, Geometry, and Dynamics 10 International Journal of Theoretical Physics 10 Journal of the American Mathematical Society 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Discrete Mathematics 9 Journal of Mathematical Physics 9 Journal für die Reine und Angewandte Mathematik 8 Archiv der Mathematik 8 Ergodic Theory and Dynamical Systems 8 International Journal of Algebra and Computation 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Bulletin of the Australian Mathematical Society 7 Nuclear Physics. B 7 Manuscripta Mathematica 7 Proceedings of the Japan Academy. Series A 7 Experimental Mathematics 7 St. Petersburg Mathematical Journal 7 Groups, Complexity, Cryptology 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Applied Mathematics and Computation 6 Michigan Mathematical Journal 6 Siberian Mathematical Journal 6 Geometric and Functional Analysis. GAFA 6 Algebras and Representation Theory 6 Annals of Mathematics. Second Series 6 Quantum Topology 6 Winter Braids Lecture Notes 5 Mathematical Notes 5 Journal of Geometry and Physics 5 Glasgow Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Journal of the Mathematical Society of Japan 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Tokyo Journal of Mathematics 5 Journal of Symbolic Computation 5 International Journal of Mathematics 5 Annales Mathématiques Blaise Pascal 5 Chaos 5 Journal of the Australian Mathematical Society 5 Journal of Topology 5 Journal of Topology and Analysis 4 Journal of Soviet Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Tohoku Mathematical Journal. Second Series 4 European Journal of Combinatorics 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Journal of the European Mathematical Society (JEMS) 4 Quantum Information Processing 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Statistical Physics 3 Algebra and Logic 3 Compositio Mathematica 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Combinatorial Theory. Series B 3 Journal of Geometry 3 Nagoya Mathematical Journal 3 Transactions of the Moscow Mathematical Society 3 Discrete & Computational Geometry 3 Doklady Mathematics 3 Conformal Geometry and Dynamics 3 Journal of High Energy Physics 3 Living Reviews in Relativity 3 Physical Review Letters 3 Journal of Algebra and its Applications 3 Bulletin of the American Mathematical Society 2 Archive for Rational Mechanics and Analysis 2 Discrete Applied Mathematics 2 Letters in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Reviews in Mathematical Physics 2 The Mathematical Intelligencer 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Algebra Universalis 2 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 135 more Serials all top 5 Cited in 52 Fields 933 Manifolds and cell complexes (57-XX) 621 Group theory and generalizations (20-XX) 167 Dynamical systems and ergodic theory (37-XX) 79 Combinatorics (05-XX) 79 Quantum theory (81-XX) 74 Algebraic geometry (14-XX) 74 Associative rings and algebras (16-XX) 73 Several complex variables and analytic spaces (32-XX) 72 Nonassociative rings and algebras (17-XX) 65 Algebraic topology (55-XX) 55 Functions of a complex variable (30-XX) 55 Differential geometry (53-XX) 46 Computer science (68-XX) 31 Global analysis, analysis on manifolds (58-XX) 28 Category theory; homological algebra (18-XX) 27 Number theory (11-XX) 20 Ordinary differential equations (34-XX) 20 Functional analysis (46-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Topological groups, Lie groups (22-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 16 Relativity and gravitational theory (83-XX) 15 General topology (54-XX) 13 Information and communication theory, circuits (94-XX) 12 Probability theory and stochastic processes (60-XX) 11 Fluid mechanics (76-XX) 10 Mathematical logic and foundations (03-XX) 10 Partial differential equations (35-XX) 9 History and biography (01-XX) 9 Commutative algebra (13-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 6 Numerical analysis (65-XX) 6 Mechanics of particles and systems (70-XX) 5 General algebraic systems (08-XX) 5 Special functions (33-XX) 5 Geometry (51-XX) 4 Field theory and polynomials (12-XX) 4 \(K\)-theory (19-XX) 4 Measure and integration (28-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-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) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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