Edit Profile (opens in new tab) Hutchings, Michael Lounsbery Compute Distance To: Compute Author ID: hutchings.michael Published as: Hutchings, Michael; Hutchings, M. Homepage: https://math.berkeley.edu/~hutching/ External Links: MGP · Wikidata · dblp Documents Indexed: 42 Publications since 1995 1 Contribution as Editor Co-Authors: 27 Co-Authors with 24 Joint Publications 285 Co-Co-Authors all top 5 Co-Authors 14 single-authored 6 Taubes, Clifford Henry 4 Morgan, Frank 3 Cristofaro-Gardiner, Daniel 3 Ramos, Vinicius Gripp Barros 2 Gutt, Jean 2 Howards, Hugh Nelson 2 Lee, Yijen 2 Nelson, Jo 2 Ritoré, Manuel 2 Ros, Antonio 1 Arnaud, Marie-Claude 1 Chaidez, Julian 1 Choi, Keon 1 Colin, Vincent 1 Cox, Christopher Lee 1 Cristofaro-Gardiner, Dan 1 Frenkel, David 1 Ghiggini, Paolo 1 Harrison, Lisa 1 Hass, Joel 1 Hofer, Helmut H. W. 1 Honda, Ko 1 Kaloshin, Vadim Yu. 1 Kim, Susan 1 Latschev, Janko 1 Light, Janette 1 Mauer, Andrew 1 Pomerleano, Daniel 1 Schlafly, Roger 1 Spears, Brian Keith 1 Szeri, Andrew J. 1 Tilton, Meg 1 Wendl, Chris all top 5 Serials 7 Geometry & Topology 4 Algebraic & Geometric Topology 3 The Journal of Symplectic Geometry 2 Journal of Differential Geometry 2 Transactions of the American Mathematical Society 2 Electronic Research Announcements of the American Mathematical Society 2 Journal of Fixed Point Theory and Applications 1 American Mathematical Monthly 1 Inventiones Mathematicae 1 Real Analysis Exchange 1 Topology 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Journal of Modern Dynamics 1 Journal of Topology 1 Journal of Computational Dynamics all top 5 Fields 37 Differential geometry (53-XX) 26 Manifolds and cell complexes (57-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 728 times in 376 Documents Cited by ▼ Year ▼ Proof of the double bubble conjecture. Zbl 1009.53007Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio 53 2002 From one Reeb orbit to two. Zbl 1338.53108Cristofaro-Gardiner, Daniel; Hutchings, Michael 42 2016 Lecture notes on embedded contact homology. Zbl 1432.53126Hutchings, Michael 40 2014 Quantitative embedded contact homology. Zbl 1238.53061Hutchings, Michael 40 2011 An index inequality for embedded pseudoholomorphic curves in symplectizations. Zbl 1017.58005Hutchings, Michael 38 2002 Gluing pseudoholomorphic curves along branched covered cylinders. I. Zbl 1157.53047Hutchings, Michael; Taubes, Clifford Henry 35 2007 Gluing pseudoholomorphic curves along branched covered cylinders. II. Zbl 1193.53183Hutchings, Michael; Taubes, Clifford Henry 33 2009 Rounding corners of polygons and the embedded contact homology of \(T^3\). Zbl 1101.53053Hutchings, Michael; Sullivan, Michael 29 2006 The isoperimetric problem on surfaces. Zbl 1003.52011Howards, Hugh; Hutchings, Michael; Morgan, Frank 29 1999 The Weinstein conjecture for stable Hamiltonian structures. Zbl 1169.53065Hutchings, Michael; Taubes, Clifford Henry 26 2009 The asymptotics of ECH capacities. Zbl 1315.53091Cristofaro-Gardiner, Daniel; Hutchings, Michael; Ramos, Vinicius Gripp Barros 24 2015 Floer homology of families. I. Zbl 1170.57025Hutchings, Michael 24 2008 The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature. Zbl 0976.53082Morgan, Frank; Hutchings, Michael; Howards, Hugh 22 2000 The embedded contact homology index revisited. Zbl 1207.57045Hutchings, Michael 21 2009 Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds. Zbl 0959.58015Hutchings, Michael; Lee, Yi-Jen 20 1999 Circle-valued Morse theory and Reidemeister torsion. Zbl 0929.57019Hutchings, Michael; Lee, Yi-Jen 20 1999 Proof of the Arnold chord conjecture in three dimensions. II. Zbl 1396.53111Hutchings, Michael; Taubes, Clifford 20 2013 The double bubble conjecture. Zbl 0864.53007Hass, Joel; Hutchings, Michael; Schlafly, Roger 17 1995 Algebraic torsion in contact manifolds. Zbl 1248.53072Latschev, Janko; Wendl, Chris; Hutchings, Michael 17 2011 Taubes’s proof of the Weinstein conjecture in dimension three. Zbl 1197.57023Hutchings, Michael 15 2010 Beyond ECH capacities. Zbl 1338.53119Hutchings, Michael 14 2016 Reidemeister torsion in generalized Morse theory. Zbl 0990.57011Hutchings, Michael 14 2002 Symplectic embeddings into four-dimensional concave toric domains. Zbl 1308.53125Choi, Keon; Cristofaro-Gardiner, Daniel; Frenkel, David; Hutchings, Michael; Ramos, Vinicius Gripp Barros 14 2014 Torsion contact forms in three dimensions have two or infinitely many Reeb orbits. Zbl 1432.53106Cristofaro-Gardiner, Dan; Hutchings, Michael; Pomerleano, Daniel 14 2019 Cylindrical contact homology for dynamically convex contact forms in three dimensions. Zbl 1369.53064Hutchings, Michael; Nelson, Jo 13 2016 Recent progress on symplectic embedding problems in four dimensions. Zbl 1256.53054Hutchings, Michael 13 2011 The structure of area-minimizing double bubbles. Zbl 0935.53008Hutchings, Michael 13 1997 The periodic Floer homology of a Dehn twist. Zbl 1089.57021Hutchings, Michael; Sullivan, Michael 13 2005 Symplectic capacities from positive \(S^1\)-equivariant symplectic homology. Zbl 1411.53062Gutt, Jean; Hutchings, Michael 12 2018 Proof of the Arnold chord conjecture in three dimensions. I. Zbl 1263.53080Hutchings, Michael; Taubes, Clifford Henry 12 2011 Sutures and contact homology. I. Zbl 1231.57026Colin, Vincent; Ghiggini, Paolo; Honda, Ko; Hutchings, Michael 12 2011 Embedded contact homology and its applications. Zbl 1233.57020Hutchings, Michael 8 2011 Mean action and the Calabi invariant. Zbl 1402.37066Hutchings, Michael 7 2016 The shortest enclosure of three connected areas in \(\mathbb{R}^ 2\). Zbl 0823.49027Cox, Christopher; Harrison, Lisa; Hutchings, Michael; Kim, Susan; Light, Janette; Mauer, Andrew; Tilton, Meg 6 1995 An introduction to the Seiberg-Witten equations on symplectic manifolds. Zbl 0973.57013Hutchings, Michael; Taubes, Clifford Henry 5 1999 Topological bifurcations of attracting 2-tori of quasiperiodically driven oscillators. Zbl 1137.70357Spears, B. K.; Hutchings, M.; Szeri, A. J. 4 2005 Proof of the double bubble conjecture. Zbl 0970.53009Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio 4 2000 Integration of singular braid invariants and graph cohomology. Zbl 0893.57007Hutchings, Michael 3 1998 Examples around the strong Viterbo conjecture. Zbl 1497.53132Gutt, Jean; Hutchings, Michael; Ramos, Vinicius G. B. 3 2022 Computing Reeb dynamics on four-dimensional convex polytopes. Zbl 1489.53104Chaidez, Julian; Hutchings, Michael 1 2021 Examples around the strong Viterbo conjecture. Zbl 1497.53132Gutt, Jean; Hutchings, Michael; Ramos, Vinicius G. B. 3 2022 Computing Reeb dynamics on four-dimensional convex polytopes. Zbl 1489.53104Chaidez, Julian; Hutchings, Michael 1 2021 Torsion contact forms in three dimensions have two or infinitely many Reeb orbits. Zbl 1432.53106Cristofaro-Gardiner, Dan; Hutchings, Michael; Pomerleano, Daniel 14 2019 Symplectic capacities from positive \(S^1\)-equivariant symplectic homology. Zbl 1411.53062Gutt, Jean; Hutchings, Michael 12 2018 From one Reeb orbit to two. Zbl 1338.53108Cristofaro-Gardiner, Daniel; Hutchings, Michael 42 2016 Beyond ECH capacities. Zbl 1338.53119Hutchings, Michael 14 2016 Cylindrical contact homology for dynamically convex contact forms in three dimensions. Zbl 1369.53064Hutchings, Michael; Nelson, Jo 13 2016 Mean action and the Calabi invariant. Zbl 1402.37066Hutchings, Michael 7 2016 The asymptotics of ECH capacities. Zbl 1315.53091Cristofaro-Gardiner, Daniel; Hutchings, Michael; Ramos, Vinicius Gripp Barros 24 2015 Lecture notes on embedded contact homology. Zbl 1432.53126Hutchings, Michael 40 2014 Symplectic embeddings into four-dimensional concave toric domains. Zbl 1308.53125Choi, Keon; Cristofaro-Gardiner, Daniel; Frenkel, David; Hutchings, Michael; Ramos, Vinicius Gripp Barros 14 2014 Proof of the Arnold chord conjecture in three dimensions. II. Zbl 1396.53111Hutchings, Michael; Taubes, Clifford 20 2013 Quantitative embedded contact homology. Zbl 1238.53061Hutchings, Michael 40 2011 Algebraic torsion in contact manifolds. Zbl 1248.53072Latschev, Janko; Wendl, Chris; Hutchings, Michael 17 2011 Recent progress on symplectic embedding problems in four dimensions. Zbl 1256.53054Hutchings, Michael 13 2011 Proof of the Arnold chord conjecture in three dimensions. I. Zbl 1263.53080Hutchings, Michael; Taubes, Clifford Henry 12 2011 Sutures and contact homology. I. Zbl 1231.57026Colin, Vincent; Ghiggini, Paolo; Honda, Ko; Hutchings, Michael 12 2011 Embedded contact homology and its applications. Zbl 1233.57020Hutchings, Michael 8 2011 Taubes’s proof of the Weinstein conjecture in dimension three. Zbl 1197.57023Hutchings, Michael 15 2010 Gluing pseudoholomorphic curves along branched covered cylinders. II. Zbl 1193.53183Hutchings, Michael; Taubes, Clifford Henry 33 2009 The Weinstein conjecture for stable Hamiltonian structures. Zbl 1169.53065Hutchings, Michael; Taubes, Clifford Henry 26 2009 The embedded contact homology index revisited. Zbl 1207.57045Hutchings, Michael 21 2009 Floer homology of families. I. Zbl 1170.57025Hutchings, Michael 24 2008 Gluing pseudoholomorphic curves along branched covered cylinders. I. Zbl 1157.53047Hutchings, Michael; Taubes, Clifford Henry 35 2007 Rounding corners of polygons and the embedded contact homology of \(T^3\). Zbl 1101.53053Hutchings, Michael; Sullivan, Michael 29 2006 The periodic Floer homology of a Dehn twist. Zbl 1089.57021Hutchings, Michael; Sullivan, Michael 13 2005 Topological bifurcations of attracting 2-tori of quasiperiodically driven oscillators. Zbl 1137.70357Spears, B. K.; Hutchings, M.; Szeri, A. J. 4 2005 Proof of the double bubble conjecture. Zbl 1009.53007Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio 53 2002 An index inequality for embedded pseudoholomorphic curves in symplectizations. Zbl 1017.58005Hutchings, Michael 38 2002 Reidemeister torsion in generalized Morse theory. Zbl 0990.57011Hutchings, Michael 14 2002 The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature. Zbl 0976.53082Morgan, Frank; Hutchings, Michael; Howards, Hugh 22 2000 Proof of the double bubble conjecture. Zbl 0970.53009Hutchings, Michael; Morgan, Frank; Ritoré, Manuel; Ros, Antonio 4 2000 The isoperimetric problem on surfaces. Zbl 1003.52011Howards, Hugh; Hutchings, Michael; Morgan, Frank 29 1999 Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds. Zbl 0959.58015Hutchings, Michael; Lee, Yi-Jen 20 1999 Circle-valued Morse theory and Reidemeister torsion. Zbl 0929.57019Hutchings, Michael; Lee, Yi-Jen 20 1999 An introduction to the Seiberg-Witten equations on symplectic manifolds. Zbl 0973.57013Hutchings, Michael; Taubes, Clifford Henry 5 1999 Integration of singular braid invariants and graph cohomology. Zbl 0893.57007Hutchings, Michael 3 1998 The structure of area-minimizing double bubbles. Zbl 0935.53008Hutchings, Michael 13 1997 The double bubble conjecture. Zbl 0864.53007Hass, Joel; Hutchings, Michael; Schlafly, Roger 17 1995 The shortest enclosure of three connected areas in \(\mathbb{R}^ 2\). Zbl 0823.49027Cox, Christopher; Harrison, Lisa; Hutchings, Michael; Kim, Susan; Light, Janette; Mauer, Andrew; Tilton, Meg 6 1995 all cited Publications top 5 cited Publications all top 5 Cited by 411 Authors 18 Hutchings, Michael Lounsbery 15 Morgan, Frank 15 Taubes, Clifford Henry 8 Ginzburg, Viktor L’vovich 8 Hind, Richard K. 8 Liu, Hui 7 Macarini, Leonardo 7 Wendl, Chris 6 Cristofaro-Gardiner, Daniel 6 Kutluhan, Çağatay 6 Lee, Yijen 6 Long, Yiming 6 McDuff, Dusa 5 Colin, Vincent 5 Garcke, Harald 5 Geiges, Hansjörg 5 Gerig, Chris 5 Gürel, Basak Zehra 5 Gutt, Jean 5 Honda, Ko 5 Hryniewicz, Umberto L. 5 Irie, Kei 5 Ramos, Vinicius Gripp Barros 4 Abreu, Miguel 4 Albers, Peter 4 Duan, Huagui 4 Franceschi, Valentina 4 Kang, Jungsoo 4 Salomão, Pedro Antonio Santoro 4 Schlenk, Felix 4 Suh, Young Jin 3 Abbondandolo, Alberto 3 Baldwin, John A. 3 Bérard, Pierre H. 3 Chaidez, Julian 3 Cieliebak, Kai 3 Corneli, Joseph 3 Cristofaro-Gardiner, Dan 3 Ghiggini, Paolo 3 Goda, Hiroshi 3 Heilman, Steven M. 3 Helffer, Bernard 3 Hezenci, Fatih 3 Hofer, Helmut H. W. 3 Kerman, Ely 3 Mark, Thomas E. 3 Massuyeau, Gwénaël 3 Mazzucchelli, Marco 3 Moreno, Agustín S. 3 Nelson, Jo 3 Nürnberg, Robert 3 Ostrover, Yaron 3 Paolini, Emanuele 3 Ren, Xiaofeng 3 Ritoré, Manuel 3 Schoenfeld, Eric 3 Schütz, Dirk 3 Seidel, Paul 3 Siefring, Richard 3 Sozen, Yasar 3 Stefani, Giorgio 3 Szeri, Andrew J. 3 Weiler, Morgan 3 Zehmisch, Kai 2 Bahri, Abbas 2 Barrett, John William 2 Benedetti, Gabriele 2 Bourgeois, Frédéric 2 Burghelea, Dan 2 Buşe, Olguţa 2 Cardona, Robert 2 Casals, Roger 2 Chen, Guanheng 2 Di Matteo, Gianmichele 2 Fabert, Oliver 2 Fish, Joel W. 2 Gimeno, Vicent 2 Haller, Stefan 2 Hass, Joel 2 Hein, Doris 2 Holt, Paul 2 Karakurt, Çağrı 2 Kim, Joontae 2 Kim, Seongchan 2 Kitayama, Takahiro 2 Kiwan, Rola 2 Kwon, Myeonggi 2 Latschev, Janko 2 Laudenbach, François 2 Lawlor, Gary Reid 2 Leger, Nicholas 2 Léna, Corentin 2 Li, Haizhong 2 Lucia, Marcello 2 Marques, Fernando Codá 2 Mathews, Daniel V. 2 Merry, Will J. 2 Miranda, Eva 2 Mossel, Elchanan 2 Nardulli, Stefano ...and 311 more Authors all top 5 Cited in 131 Serials 33 Geometry & Topology 26 Algebraic & Geometric Topology 17 Journal of Fixed Point Theory and Applications 12 The Journal of Geometric Analysis 10 Transactions of the American Mathematical Society 9 Inventiones Mathematicae 8 Proceedings of the American Mathematical Society 8 International Journal of Mathematics 8 Selecta Mathematica. New Series 7 Mathematische Zeitschrift 7 Geometric and Functional Analysis. GAFA 7 Calculus of Variations and Partial Differential Equations 6 Ergodic Theory and Dynamical Systems 5 Advances in Mathematics 5 Duke Mathematical Journal 5 Geometriae Dedicata 5 Bulletin of the American Mathematical Society. New Series 5 Annals of Mathematics. Second Series 5 Journal of Topology 5 Journal of Topology and Analysis 4 Israel Journal of Mathematics 4 Journal of Knot Theory and its Ramifications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Communications in Contemporary Mathematics 4 Journal of Modern Dynamics 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Journal of Computational Physics 3 Commentarii Mathematici Helvetici 3 Mathematische Annalen 3 Memoirs of the American Mathematical Society 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Pacific Journal of Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Annals of Global Analysis and Geometry 3 Proceedings of the National Academy of Sciences of the United States of America 3 Journal of the European Mathematical Society (JEMS) 3 Journal of High Energy Physics 3 Forum of Mathematics, Sigma 2 Archive for Rational Mechanics and Analysis 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annales de l’Institut Fourier 2 Compositio Mathematica 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Michigan Mathematical Journal 2 Topology and its Applications 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Experimental Mathematics 2 Electronic Research Announcements of the American Mathematical Society 2 Acta Mathematica Sinica. English Series 2 Missouri Journal of Mathematical Sciences 2 Japanese Journal of Mathematics. 3rd Series 2 Kyoto Journal of Mathematics 2 Arabian Journal of Mathematics 2 Analysis and Geometry in Metric Spaces 2 Arnold Mathematical Journal 2 European Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 Complex Manifolds 1 International Journal of Modern Physics A 1 General Relativity and Gravitation 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Physica D 1 Applied Numerical Mathematics 1 Graphs and Combinatorics 1 Boletim da Sociedade Portuguesa de Matemática 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Annals of Operations Research 1 Differential Geometry and its Applications 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Expositiones Mathematicae 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics ...and 31 more Serials all top 5 Cited in 42 Fields 242 Differential geometry (53-XX) 129 Manifolds and cell complexes (57-XX) 83 Dynamical systems and ergodic theory (37-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 31 Global analysis, analysis on manifolds (58-XX) 19 Several complex variables and analytic spaces (32-XX) 19 Partial differential equations (35-XX) 19 Convex and discrete geometry (52-XX) 14 Algebraic geometry (14-XX) 12 Fluid mechanics (76-XX) 11 Ordinary differential equations (34-XX) 9 Numerical analysis (65-XX) 9 Quantum theory (81-XX) 7 Mechanics of particles and systems (70-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Group theory and generalizations (20-XX) 5 Algebraic topology (55-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 4 Number theory (11-XX) 4 Relativity and gravitational theory (83-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Geometry (51-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.