Edit Profile (opens in new tab) Kapouleas, Nikolaos Co-Author Distance Author ID: kapouleas.nikolaos Published as: Kapouleas, Nikolaos; Kapouleas, Nicolaos Further Spellings: Kapouleas, Nicos Homepage: https://www.brown.edu/academics/math/people/nicos-kapouleas External Links: MGP Documents Indexed: 32 Publications since 1987, including 3 Additional arXiv Preprints Co-Authors: 10 Co-Authors with 20 Joint Publications 108 Co-Co-Authors all top 5 Co-Authors 12 single-authored 5 Wiygul, David 4 Haskins, Mark 3 Breiner, Christine 3 McGrath, Peter J. 2 Kleene, Stephen James 1 Brendle, Simon 1 Li, Martin Man-Chun 1 Møller, Niels Martin 1 Yang, Seong-Deog 1 Zou, Jiahua all top 5 Serials 4 Journal of Differential Geometry 3 Journal für die Reine und Angewandte Mathematik 2 Communications on Pure and Applied Mathematics 2 American Journal of Mathematics 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Communications in Analysis and Geometry 2 Cambridge Journal of Mathematics 1 Communications in Mathematical Physics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series all top 5 Fields 28 Differential geometry (53-XX) 5 Partial differential equations (35-XX) 2 Manifolds and cell complexes (57-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 434 times in 252 Documents Cited by ▼ Year ▼ Complete constant mean curvature surfaces in Euclidean three-space. Zbl 0699.53007 Kapouleas, Nicolaos 85 1990 Compact constant mean curvature surfaces in Euclidean three-space. Zbl 0727.53063 Kapouleas, Nicolaos 62 1991 Mean curvature self-shrinkers of high genus: non-compact examples. Zbl 1393.53063 Kapouleas, Nikolaos; Kleene, Stephen James; Møller, Niels Martin 41 2018 Constant mean curvature surfaces constructed by fusing Wente tori. Zbl 0840.53005 Kapouleas, Nikolaos 36 1995 Complete embedded minimal surfaces of finite total curvature. Zbl 0936.53006 Kapouleas, Nikolaos 27 1997 Doubling and desingularization constructions for minimal surfaces. Zbl 1268.53007 Kapouleas, Nikolaos 22 2011 Minimal surfaces in the three-sphere by doubling the Clifford torus. Zbl 1198.53060 Kapouleas, Nikolaos; Yang, Seong-Deog 20 2010 Constant mean curvature surfaces in Euclidean three-space. Zbl 0636.53010 Kapouleas, Nicolaos 16 1987 Special Lagrangian cones with higher genus links. Zbl 1185.53055 Haskins, Mark; Kapouleas, Nikolaos 15 2007 Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere. I. Zbl 1393.53050 Kapouleas, Nikolaos 14 2017 Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc. Zbl 1478.53108 Kapouleas, Nikolaos; Li, Martin Man-chun 14 2021 Gluing Eguchi-Hanson metrics and a question of Page. Zbl 1457.53025 Brendle, Simon; Kapouleas, Nikolaos 11 2017 Constructions of minimal surfaces by gluing minimal immersions. Zbl 1100.53010 Kapouleas, Nikolaos 10 2005 The index and nullity of the Lawson surfaces \(\xi_{g,1}\). Zbl 1437.53049 Kapouleas, Nikolaos; Wiygul, David 9 2020 Constant mean curvature surfaces in Euclidean spaces. Zbl 0841.53006 Kapouleas, Nikolaos 7 1995 Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere. II. Zbl 1457.53047 Kapouleas, Nikolaos; McGrath, Peter 7 2019 Constant mean curvature surfaces constructed by fusing Wente tori. Zbl 0763.53014 Kapouleas, Nicolaos 6 1992 Slowly rotating drops. Zbl 0694.76042 Kapouleas, Nicolaos 5 1990 On desingularizing the intersections of minimal surfaces. Zbl 0901.53004 Kapouleas, Nikolaos 5 1997 Gluing constructions of special Lagrangian cones. Zbl 1166.53034 Haskins, Mark; Kapouleas, Nikolaos 4 2008 Closed twisted products and \(SO(p) \times SO(q)\)-invariant special Lagrangian cones. Zbl 1260.53140 Haskins, Mark; Kapouleas, Nikolaos 3 2012 Embedded constant mean curvature surfaces in Euclidean three-space. Zbl 1306.53004 Breiner, Christine; Kapouleas, Nikolaos 3 2014 Minimal surfaces in the three-sphere by desingularizing intersecting Clifford tori. Zbl 1522.53005 Kapouleas, Nikolaos; Wiygul, David 3 2022 Free boundary minimal surfaces with connected boundary in the 3-ball by tripling the equatorial disc. Zbl 1519.53012 Kapouleas, Nikolaos; Wiygul, David 3 2023 Generalizing the linearized doubling approach. I: General theory and new minimal surfaces and self-shrinkers. Zbl 1516.53009 Kapouleas, Nikolaos; McGrath, Peter 3 2023 Complete constant mean curvature hypersurfaces in Euclidean space of dimension four or higher. Zbl 07394378 Breiner, Christine; Kapouleas, Nikolaos 2 2021 Conservation laws and gluing constructions for constant mean curvature (hyper)surfaces. Zbl 1493.53013 Breiner, Christine; Kapouleas, Nikolaos; Kleene, Stephen 1 2022 Free boundary minimal surfaces with connected boundary in the 3-ball by tripling the equatorial disc. Zbl 1519.53012 Kapouleas, Nikolaos; Wiygul, David 3 2023 Generalizing the linearized doubling approach. I: General theory and new minimal surfaces and self-shrinkers. Zbl 1516.53009 Kapouleas, Nikolaos; McGrath, Peter 3 2023 Minimal surfaces in the three-sphere by desingularizing intersecting Clifford tori. Zbl 1522.53005 Kapouleas, Nikolaos; Wiygul, David 3 2022 Conservation laws and gluing constructions for constant mean curvature (hyper)surfaces. Zbl 1493.53013 Breiner, Christine; Kapouleas, Nikolaos; Kleene, Stephen 1 2022 Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc. Zbl 1478.53108 Kapouleas, Nikolaos; Li, Martin Man-chun 14 2021 Complete constant mean curvature hypersurfaces in Euclidean space of dimension four or higher. Zbl 07394378 Breiner, Christine; Kapouleas, Nikolaos 2 2021 The index and nullity of the Lawson surfaces \(\xi_{g,1}\). Zbl 1437.53049 Kapouleas, Nikolaos; Wiygul, David 9 2020 Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere. II. Zbl 1457.53047 Kapouleas, Nikolaos; McGrath, Peter 7 2019 Mean curvature self-shrinkers of high genus: non-compact examples. Zbl 1393.53063 Kapouleas, Nikolaos; Kleene, Stephen James; Møller, Niels Martin 41 2018 Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere. I. Zbl 1393.53050 Kapouleas, Nikolaos 14 2017 Gluing Eguchi-Hanson metrics and a question of Page. Zbl 1457.53025 Brendle, Simon; Kapouleas, Nikolaos 11 2017 Embedded constant mean curvature surfaces in Euclidean three-space. Zbl 1306.53004 Breiner, Christine; Kapouleas, Nikolaos 3 2014 Closed twisted products and \(SO(p) \times SO(q)\)-invariant special Lagrangian cones. Zbl 1260.53140 Haskins, Mark; Kapouleas, Nikolaos 3 2012 Doubling and desingularization constructions for minimal surfaces. Zbl 1268.53007 Kapouleas, Nikolaos 22 2011 Minimal surfaces in the three-sphere by doubling the Clifford torus. Zbl 1198.53060 Kapouleas, Nikolaos; Yang, Seong-Deog 20 2010 Gluing constructions of special Lagrangian cones. Zbl 1166.53034 Haskins, Mark; Kapouleas, Nikolaos 4 2008 Special Lagrangian cones with higher genus links. Zbl 1185.53055 Haskins, Mark; Kapouleas, Nikolaos 15 2007 Constructions of minimal surfaces by gluing minimal immersions. Zbl 1100.53010 Kapouleas, Nikolaos 10 2005 Complete embedded minimal surfaces of finite total curvature. Zbl 0936.53006 Kapouleas, Nikolaos 27 1997 On desingularizing the intersections of minimal surfaces. Zbl 0901.53004 Kapouleas, Nikolaos 5 1997 Constant mean curvature surfaces constructed by fusing Wente tori. Zbl 0840.53005 Kapouleas, Nikolaos 36 1995 Constant mean curvature surfaces in Euclidean spaces. Zbl 0841.53006 Kapouleas, Nikolaos 7 1995 Constant mean curvature surfaces constructed by fusing Wente tori. Zbl 0763.53014 Kapouleas, Nicolaos 6 1992 Compact constant mean curvature surfaces in Euclidean three-space. Zbl 0727.53063 Kapouleas, Nicolaos 62 1991 Complete constant mean curvature surfaces in Euclidean three-space. Zbl 0699.53007 Kapouleas, Nicolaos 85 1990 Slowly rotating drops. Zbl 0694.76042 Kapouleas, Nicolaos 5 1990 Constant mean curvature surfaces in Euclidean three-space. Zbl 0636.53010 Kapouleas, Nicolaos 16 1987 all cited Publications top 5 cited Publications all top 5 Cited by 276 Authors 12 Wei, Juncheng 11 Kapouleas, Nikolaos 10 López Camino, Rafael 10 Pacard, Frank 7 Musso, Monica 7 Nguyen, Xuan Hien 6 Del Pino, Manuel A. 5 Brendle, Simon 5 Große-Brauckmann, Karsten 5 Heller, Sebastian Gregor 5 Koiso, Miyuki 5 Kowalczyk, Michał 5 Malchiodi, Andrea 5 Traizet, Martin 4 Butscher, Adrian 4 Colding, Tobias Holck 4 Heller, Lynn 4 Jleli, Mohamed Boussairi 4 Mazzeo, Rafe R. 4 Minicozzi, William Philip II 4 Møller, Niels Martin 4 Mramor, Alexander 4 Wei, Guoxin 3 Caldiroli, Paolo 3 Cheng, Qingming 3 Kusner, Robert B. 3 Piccione, Paolo 3 Pollack, Daniel 3 Pyo, Juncheol 3 Rosenberg, Harold 3 Rossman, Wayne 3 Roth, Julien 3 Sá Earp, Ricardo 3 Schmitt, Nicholas 3 Song, Antoine 3 Sun, Ao 3 White, Brian Cabell 3 Wiygul, David 3 Zhou, Xin 2 Agudelo, Oscar Mauricio 2 Ao, Weiwei 2 Berchenko-Kogan, Yakov 2 Bettiol, Renato G. 2 Chen, Qing 2 Chodosh, Otis 2 Choe, Jaigyoung 2 Ciraolo, Giulio 2 Di Matteo, Gianmichele 2 Drugan, Gregory 2 Girouard, Alexandre 2 Haskins, Mark 2 Haslhofer, Robert 2 Hershkovits, Or 2 Iacopetti, Alessandro 2 Kleene, Stephen James 2 Kusner, Rob 2 Lopez Fernandez, Francisco Jose 2 Lotay, Jason Dean 2 Ma, John Man Shun 2 McGrath, Peter J. 2 Medina, Maria 2 Montiel, Sebastián 2 Morgan, Frank 2 Muhammad, Ali 2 Nelli, Barbara 2 Ozuch, Tristan 2 Pérez Muñoz, Joaquín 2 Rizzi, Matteo 2 Ros, Antonio 2 Schulze, Felix 2 Tenenblat, Keti 2 Upadhyay, Abhitosh 2 Vitório, Feliciano A. 2 Wang, Qiaoling 2 Wang, Zhichao 2 Zhu, Yecheng 1 Abresch, Uwe 1 Acharya, Bobby Samir 1 Alías, Luis J. 1 Anciaux, Henri 1 Andersson, Lars Åke 1 Andrade, João Henrique 1 Andresen, Bjarne 1 Arroja Neves, André 1 Badran, Marco 1 Ball, Gavin 1 Barbosa, Ezequiel R. 1 Bendahou, Imene 1 Bernholc, J. 1 Berry, R. Stephen 1 Biquard, Olivier 1 Blue, Pieter 1 Bracken, Paul Francis 1 Breiner, Christine 1 Braga Brito, Fabiano Gustavo 1 Brubaker, Nicholas D. 1 Carberry, Emma 1 Carrera-Patiño, Martin E. 1 Castro, Ildefonso 1 Catino, Giovanni ...and 176 more Authors all top 5 Cited in 89 Serials 13 The Journal of Geometric Analysis 11 Journal für die Reine und Angewandte Mathematik 10 Advances in Mathematics 10 Geometriae Dedicata 10 Calculus of Variations and Partial Differential Equations 9 Annals of Global Analysis and Geometry 8 Transactions of the American Mathematical Society 7 Duke Mathematical Journal 7 Inventiones Mathematicae 6 Mathematische Zeitschrift 6 Tôhoku Mathematical Journal. Second Series 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Annales de l’Institut Fourier 4 Journal of Differential Geometry 4 Journal of Functional Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Bulletin of the American Mathematical Society. New Series 4 Experimental Mathematics 4 Geometry & Topology 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Journal of Geometry and Physics 3 Journal of Differential Equations 3 Manuscripta Mathematica 3 Results in Mathematics 3 Chinese Annals of Mathematics. Series B 3 Geometric and Functional Analysis. GAFA 3 Annals of Mathematics. Second Series 2 Acta Mathematica 2 Archiv der Mathematik 2 Commentarii Mathematici Helvetici 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Journal of Geometry 2 Pacific Journal of Mathematics 2 Journal of the American Mathematical Society 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 IMRN. International Mathematics Research Notices 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Advanced Nonlinear Studies 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Science China. Mathematics 1 Classical and Quantum Gravity 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Anais da Academia Brasileira de Ciências 1 Applied Mathematics and Computation 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Acta Mathematica Sinica. New Series 1 SIAM Journal on Scientific Computing 1 NoDEA. Nonlinear Differential Equations and Applications 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Revista Matemática Complutense 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Physics A: Mathematical and Theoretical 1 Involve 1 Analysis & PDE 1 Journal of Topology and Analysis 1 Bulletin of Mathematical Sciences 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 26 Fields 217 Differential geometry (53-XX) 67 Partial differential equations (35-XX) 40 Global analysis, analysis on manifolds (58-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 12 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year