Edit Profile (opens in new tab) Kusner, Robert B. Co-Author Distance Author ID: kusner.robert-b Published as: Kusner, Robert B.; Kusner, Robert; Kusner, R.; Kusner, R. B. more...less Documents Indexed: 25 Publications since 1996, including 4 Additional arXiv Preprints 1 Further Contribution Co-Authors: 33 Co-Authors with 25 Joint Publications 832 Co-Co-Authors all top 5 Co-Authors 0 single-authored 14 Sullivan, John Matthew 6 Große-Brauckmann, Karsten 4 Cantarella, Jason H. 3 McGrath, Peter J. 2 Korevaar, Nicholas Jacob 2 Ratzkin, Jesse 1 Almgren, Robert F. 1 Brauckmann, K. 1 Brogan, Patrick 1 Chen, Jingmin 1 Collin, Pascal 1 Diao, Yuanan 1 Dietler, Giovanni 1 Dobay, Akos 1 Epstein, David Bernard Alper 1 Fu, Joseph Howland Guthrie 1 Grosberg, Alexander Yu. 1 Izmestiev, Ivan 1 Karpukhin, Mikhail A. 1 Kuperberg, Gregory John 1 Kusner, Wöden 1 Lieb, Elliott Hershel 1 Marden, Albert 1 Mazzeo, Rafe R. 1 Meeks, William Hamilton III 1 Millett, Kenneth C. 1 Morgan, Frank 1 Pollack, Daniel 1 Rawdon, Eric J. 1 Rosenberg, Harold 1 Rote, Günter 1 Shonkwiler, Clayton 1 Springborn, Boris Andre 1 Stasiak, Andrzej 1 Stern, Daniel L. 1 Szymczak, Piotr 1 Taylor, Jean Ellen 1 Yang, Yilin 1 Yu, Thomas Pok-Yin 1 Zigerelli, Andrew all top 5 Serials 2 American Journal of Mathematics 2 Geometric and Functional Analysis. GAFA 1 Archive for Rational Mechanics and Analysis 1 Mathematics of Computation 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and General 1 Proceedings of the National Academy of Sciences of the United States of America 1 Experimental Mathematics 1 Communications in Analysis and Geometry 1 Geometry & Topology all top 5 Fields 13 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 224 times in 185 Documents Cited by ▼ Year ▼ On the minimum ropelength of knots and links. Zbl 1036.57001 Cantarella, Jason; Kusner, Robert B.; Sullivan, John M. 70 2002 The moduli space of complete embedded constant mean curvature surfaces. Zbl 0966.58005 Kusner, R.; Mazzeo, R.; Pollack, D. 26 1996 Möbius-invariant knot energies. Zbl 0945.57006 Kusner, R. B.; Sullivan, J. M. 20 1998 Möbius energies for knots and links, surfaces and submanifolds. Zbl 0888.57012 Kusner, Robert B.; Sullivan, John M. 17 1997 The topological, geometry and conformal structure of properly embedded minimal surfaces. Zbl 1098.53006 Collin, Pascal; Kusner, Robert; Meeks, William H. III; Rosenberg, Harold 17 2004 On distortion and thickness of knots. Zbl 0912.57006 Kusner, Robert B.; Sullivan, John M. 13 1998 Ropelength criticality. Zbl 1305.57008 Cantarella, Jason; Fu, Joseph H. G.; Kusner, Robert B.; Sullivan, John M. 8 2014 The average crossing number of equilateral random polygons. Zbl 1052.57006 Diao, Y.; Dobay, A.; Kusner, R. B.; Millett, K.; Stasiak, A. 8 2003 Coplanar constant mean curvature surfaces. Zbl 1145.53002 Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. 8 2007 The second hull of knotted curve. Zbl 1054.53003 Cantarella, Jason; Kuperberg, Greg; Kusner, Robert B.; Sullivan, John M. 8 2003 Triunduloids: embedded constant mean curvature surfaces with three ends and genus zero. Zbl 1058.53005 Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. 7 2003 The expected total curvature of random polygons. Zbl 1357.60017 Cantarella, Jason; Grosberg, Alexander Y.; Kusner, Robert; Shonkwiler, Clayton 4 2015 There is no triangulation of the torus with vertex degrees \(5, 6, \dots , 6, 7\) and related results: geometric proofs for combinatorial theorems. Zbl 1275.05015 Izmestiev, Ivan; Kusner, Robert B.; Rote, Günter; Springborn, Boris; Sullivan, John M. 4 2013 On the Canham problem: bending energy minimizers for any genus and isoperimetric ratio. Zbl 1526.53006 Kusner, Robert; McGrath, Peter 3 2023 Numerical methods for biomembranes: conforming subdivision methods versus non-conforming PL methods. Zbl 1455.49023 Chen, Jingmin; Yu, Thomas; Brogan, Patrick; Kusner, Robert; Yang, Yilin; Zigerelli, Andrew 3 2021 Constant mean curvature surfaces with three ends. Zbl 0980.53011 Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. 2 2000 On the nondegeneracy of constant mean curvature surfaces. Zbl 1102.53004 Korevaar, N.; Kusner, R.; Ratzkin, J. 2 2006 Coplanar \(k\)-unduloids are nondegenerate. Zbl 1176.53018 Große-Brauckmann, Karsten; Korevaar, Nicholas J.; Kusner, Robert B.; Ratzkin, Jesse; Sullivan, John M. 2 2009 Constant mean curvature surfaces with cylindrical ends. Zbl 0940.68150 Große-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. 1 1998 Embedded constant mean curvature surfaces with special symmetry. Zbl 0970.53007 Große-Brauckmann, Karsten; Kusner, Robert B. 1 1999 In memoriam Frederick J. Almgren jun., 1933–1997. Zbl 0883.01029 Epstein, David 1 1997 On the Canham problem: bending energy minimizers for any genus and isoperimetric ratio. Zbl 1526.53006 Kusner, Robert; McGrath, Peter 3 2023 Numerical methods for biomembranes: conforming subdivision methods versus non-conforming PL methods. Zbl 1455.49023 Chen, Jingmin; Yu, Thomas; Brogan, Patrick; Kusner, Robert; Yang, Yilin; Zigerelli, Andrew 3 2021 The expected total curvature of random polygons. Zbl 1357.60017 Cantarella, Jason; Grosberg, Alexander Y.; Kusner, Robert; Shonkwiler, Clayton 4 2015 Ropelength criticality. Zbl 1305.57008 Cantarella, Jason; Fu, Joseph H. G.; Kusner, Robert B.; Sullivan, John M. 8 2014 There is no triangulation of the torus with vertex degrees \(5, 6, \dots , 6, 7\) and related results: geometric proofs for combinatorial theorems. Zbl 1275.05015 Izmestiev, Ivan; Kusner, Robert B.; Rote, Günter; Springborn, Boris; Sullivan, John M. 4 2013 Coplanar \(k\)-unduloids are nondegenerate. Zbl 1176.53018 Große-Brauckmann, Karsten; Korevaar, Nicholas J.; Kusner, Robert B.; Ratzkin, Jesse; Sullivan, John M. 2 2009 Coplanar constant mean curvature surfaces. Zbl 1145.53002 Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. 8 2007 On the nondegeneracy of constant mean curvature surfaces. Zbl 1102.53004 Korevaar, N.; Kusner, R.; Ratzkin, J. 2 2006 The topological, geometry and conformal structure of properly embedded minimal surfaces. Zbl 1098.53006 Collin, Pascal; Kusner, Robert; Meeks, William H. III; Rosenberg, Harold 17 2004 The average crossing number of equilateral random polygons. Zbl 1052.57006 Diao, Y.; Dobay, A.; Kusner, R. B.; Millett, K.; Stasiak, A. 8 2003 The second hull of knotted curve. Zbl 1054.53003 Cantarella, Jason; Kuperberg, Greg; Kusner, Robert B.; Sullivan, John M. 8 2003 Triunduloids: embedded constant mean curvature surfaces with three ends and genus zero. Zbl 1058.53005 Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. 7 2003 On the minimum ropelength of knots and links. Zbl 1036.57001 Cantarella, Jason; Kusner, Robert B.; Sullivan, John M. 70 2002 Constant mean curvature surfaces with three ends. Zbl 0980.53011 Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. 2 2000 Embedded constant mean curvature surfaces with special symmetry. Zbl 0970.53007 Große-Brauckmann, Karsten; Kusner, Robert B. 1 1999 Möbius-invariant knot energies. Zbl 0945.57006 Kusner, R. B.; Sullivan, J. M. 20 1998 On distortion and thickness of knots. Zbl 0912.57006 Kusner, Robert B.; Sullivan, John M. 13 1998 Constant mean curvature surfaces with cylindrical ends. Zbl 0940.68150 Große-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. 1 1998 Möbius energies for knots and links, surfaces and submanifolds. Zbl 0888.57012 Kusner, Robert B.; Sullivan, John M. 17 1997 In memoriam Frederick J. Almgren jun., 1933–1997. Zbl 0883.01029 Epstein, David 1 1997 The moduli space of complete embedded constant mean curvature surfaces. Zbl 0966.58005 Kusner, R.; Mazzeo, R.; Pollack, D. 26 1996 all cited Publications top 5 cited Publications all top 5 Cited by 230 Authors 14 von der Mosel, Heiko 10 Diao, Yuanan 10 Reiter, Philipp 9 Rawdon, Eric J. 8 Blatt, Simon 8 Cantarella, Jason H. 8 Ernst, Claus 8 Pérez Muñoz, Joaquín 7 Meeks, William Hamilton III 7 Ros, Antonio 7 Strzelecki, Paweł 6 Pacard, Frank 6 Sullivan, John Matthew 5 Denne, Elizabeth 5 Durumeric, Oguz C. 5 Kowalczyk, Michał 4 Jleli, Mohamed Boussairi 4 Kim, Hyoungjun 4 Kusner, Robert B. 4 Mazzeo, Rafe R. 4 Millett, Kenneth C. 4 Oh, Seungsang 4 Panagiotou, Eleni 4 Schikorra, Armin 4 Schmitt, Nicholas 4 Ziegler, Uta 3 Caldiroli, Paolo 3 Fernández, Isabel 3 Fu, Joseph Howland Guthrie 3 Gerlach, Henryk 3 Huh, Youngsik 3 Ishizeki, Aya 3 Lopez Fernandez, Francisco Jose 3 Martín, Francisco 3 Nagasawa, Takeyuki 3 Shonkwiler, Clayton 3 Simon, Jonathan K. 3 Wei, Juncheng 2 Butscher, Adrian 2 Del Pino, Manuel A. 2 Ebbers-Baumann, Annette 2 Forstnerič, Franc 2 Ghomi, Mohammad 2 Große-Brauckmann, Karsten 2 Grune, Ansgar 2 Hauswirth, Laurent 2 Heller, Sebastian Gregor 2 Hong, Kyungpyo 2 Iacopetti, Alessandro 2 Klein, Rolf-Dieter 2 Kusner, Rob 2 Liu, Yong 2 Mullikin, Chad A. S. 2 Musso, Monica 2 Neel, Robert Weston 2 No, Sungjong 2 O’Hara, Jun 2 Orlandini, Enzo 2 Piatek, Michael 2 Pollack, Daniel 2 Schiller, Christoph 2 Scholtes, Sebastian 2 Schumacher, Henrik 2 Starostin, Eugene L. 2 Traizet, Martin 2 Vorderobermeier, Nicole 2 Yu, Thomas Pok-Yin 1 Aiyama, Reiko 1 Akutagawa, Kazuo 1 Alarcón, Antonio 1 Alt, Wolfgang 1 Alvarado, Sotero 1 Andrade, João Henrique 1 Ashton, Ted 1 Avvakumov, Sergey Ya. 1 Bellettini, Costante 1 Blair, Ryan C. 1 Borodzik, Maciej 1 Breiner, Christine 1 Brendle, Simon 1 Brooks, Susan C. 1 Buck, Gregory R. 1 Budney, Ryan David 1 Calvo, Jorge Alberto 1 Carberry, Emma 1 Carlen, Mathias 1 Carr Haden, John 1 Chapman, Harrison 1 Chaurasia, Vikash 1 Chen, Jingmin 1 Chen, Yichao 1 Cianchi, Andrea 1 Conant, James 1 Cora, Gabriele 1 Dangskul, Supredee 1 de Lira, Jorge Herbert Soares 1 Deguchi, Tetsuo 1 Diesinger, P. M. 1 Dorfmeister, Josef F. 1 Drnovšek, Barbara Drinovec ...and 130 more Authors all top 5 Cited in 78 Serials 16 Journal of Knot Theory and its Ramifications 10 Topology and its Applications 8 Transactions of the American Mathematical Society 7 Geometriae Dedicata 7 Mathematische Annalen 7 Journal of Physics A: Mathematical and Theoretical 6 Archive for Rational Mechanics and Analysis 6 Journal für die Reine und Angewandte Mathematik 6 The Journal of Geometric Analysis 5 Advances in Mathematics 4 Mathematische Zeitschrift 4 Annals of Global Analysis and Geometry 4 Experimental Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Geometry & Topology 3 Journal of Computational Physics 3 Duke Mathematical Journal 3 Geometric and Functional Analysis. GAFA 3 Computational and Mathematical Biophysics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Journal of Geometry and Physics 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Computational Geometry 2 Communications in Partial Differential Equations 2 Proceedings of the National Academy of Sciences of the United States of America 2 Advanced Nonlinear Studies 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Molecular Based Mathematical Biology 1 American Mathematical Monthly 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Physics Reports 1 Reviews of Modern Physics 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the American Mathematical Society 1 The Annals of Applied Probability 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Mathematical Physics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Forma 1 International Journal of Geometric Methods in Modern Physics 1 Oberwolfach Reports 1 Journal of Mathematics and the Arts 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 Involve 1 Symmetry 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Sigma 1 Séminaire Laurent Schwartz. EDP et Applications 1 Winter Braids Lecture Notes 1 Advances in Continuous and Discrete Models all top 5 Cited in 35 Fields 100 Differential geometry (53-XX) 77 Manifolds and cell complexes (57-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Partial differential equations (35-XX) 13 Biology and other natural sciences (92-XX) 12 Mechanics of deformable solids (74-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Convex and discrete geometry (52-XX) 7 Numerical analysis (65-XX) 6 Functional analysis (46-XX) 6 Quantum theory (81-XX) 5 Measure and integration (28-XX) 4 Probability theory and stochastic processes (60-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year