Edit Profile (opens in new tab) Marques, Fernando Codá Co-Author Distance Author ID: marques.fernando-coda Published as: Marques, Fernando C.; Marques, Fernando Codá; Marques, Fernando; Codá Marques, Fernando; Marques, Fernando Coda; Marques, F. C. more...less Homepage: https://www.math.princeton.edu/directory/fernando-cod%C3%A1-marques External Links: MGP · ORCID · Wikidata Documents Indexed: 46 Publications since 2001, including 2 Additional arXiv Preprints 1 Further Contribution Biographic References: 1 Publication Co-Authors: 27 Co-Authors with 32 Joint Publications 745 Co-Co-Authors all top 5 Co-Authors 14 single-authored 25 Arroja Neves, André 4 Brendle, Simon 2 Calegari, Danny Matthew Cornelius 1 Agol, Ian 1 Alencar, Hilário 1 Ambrozio, Lucas C. 1 Bessières, Laurent 1 Besson, Gérard 1 Bray, Hubert L. 1 Diaz-Lopez, Alexander 1 do Carmo, Manfredo Perdigão 1 Eichmair, Michael 1 Fraser, Ailana M. 1 Guaraco, Marco A. M. 1 Huang, Lan-Hsuan 1 Irie, Kei 1 Ketover, Daniel 1 Khuri, Marcus A. 1 Kusner, Rob 1 Liokumovich, Yevgeny 1 Maillot, Sylvain 1 Mese, Chikako 1 Minicozzi, William Philip II 1 Montezuma, Rafael 1 Schoen, Richard Melvin 1 Song, Antoine 1 Uhlenbeck, Karen Keskulla 1 Yau, Shing-Tung all top 5 Serials 6 Journal of Differential Geometry 4 Annals of Mathematics. Second Series 3 Inventiones Mathematicae 3 Notices of the American Mathematical Society 2 Duke Mathematical Journal 2 Calculus of Variations and Partial Differential Equations 2 Matemática Contemporânea 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of the American Mathematical Society 1 Communications in Analysis and Geometry 1 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Matemáticas: Enseñanza Universitaria (Nueva Serie) 1 Japanese Journal of Mathematics. 3rd Series 1 São Paulo Journal of Mathematical Sciences 1 Cambridge Journal of Mathematics all top 5 Fields 42 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 5 Partial differential equations (35-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 2 Measure and integration (28-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 1,099 times in 552 Documents Cited by ▼ Year ▼ Min-max theory and the Willmore conjecture. Zbl 1297.49079 Marques, Fernando C.; Neves, André 186 2014 A compactness theorem for the Yamabe problem. Zbl 1162.53029 Khuri, M. A.; Marques, F. C.; Schoen, R. M. 96 2009 Blow-up phenomena for the Yamabe equation. II. Zbl 1166.53025 Brendle, Simon; Marques, Fernando C. 83 2009 A priori estimates for the Yamabe problem in the non-locally conformally flat case. Zbl 1101.53019 Marques, Fernando Coda 71 2005 Existence of infinitely many minimal hypersurfaces in positive Ricci curvature. Zbl 1390.53064 Marques, Fernando C.; Neves, André 70 2017 Existence results for the Yamabe problem on manifolds with boundary. Zbl 1090.53043 Marques, Fernando C. 66 2005 Morse index and multiplicity of \(\min\text{-}\max\) minimal hypersurfaces. Zbl 1367.49036 Marques, Fernando C.; Neves, André 56 2016 Density of minimal hypersurfaces for generic metrics. Zbl 1387.53083 Irie, Kei; Marques, Fernando; Neves, André 47 2018 Deformations of the hemisphere that increase scalar curvature. Zbl 1227.53048 Brendle, Simon; Marques, Fernando C.; Neves, Andre 46 2011 Weyl law for the volume spectrum. Zbl 1390.53034 Liokumovich, Yevgeny; Marques, Fernando; Neves, André 43 2018 Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary. Zbl 1132.53021 Marques, Fernando C. 42 2007 Equidistribution of minimal hypersurfaces for generic metrics. Zbl 1419.53061 Marques, Fernando C.; Neves, André; Song, Antoine 36 2019 Rigidity of min-max minimal spheres in three-manifolds. Zbl 1260.53079 Marques, Fernando C.; Neves, André 36 2012 Morse index of multiplicity one min-max minimal hypersurfaces. Zbl 1465.53076 Marques, Fernando C.; Neves, André 35 2021 Deforming three-manifolds with positive scalar curvature. Zbl 1319.53028 Marques, Fernando Codá 34 2012 Recent progress on the Yamabe problem. Zbl 1268.53046 Brendle, Simon; Marques, Fernando C. 23 2011 The catenoid estimate and its geometric applications. Zbl 1439.53064 Ketover, Daniel; Marques, Fernando C.; Neves, André 21 2020 The Willmore conjecture. Zbl 1306.53005 Marques, Fernando C.; Neves, André 15 2014 Topology of the space of cycles and existence of minimal varieties. Zbl 1361.53048 Marques, Fernando C.; Neves, André 14 2016 Scalar curvature rigidity of geodesic balls in \(S^n\). Zbl 1237.53037 Brendle, Simon; Marques, Fernando C. 14 2011 Isolated singularities of solutions to the Yamabe equation. Zbl 1143.35323 Marques, Fernando C. 13 2008 Minimal surfaces: variational theory and applications. Zbl 1373.53004 Marques, Fernando Codá 10 2014 Min-max theory and the energy of links. Zbl 1335.57009 Agol, Ian; Marques, Fernando C.; Neves, André 9 2016 Upper bounds for the first eigenvalue of the operator \(L_r\) and some applications. Zbl 0990.53058 Alencar, Hilário; do Carmo, Manfredo; Marques, Fernando 8 2001 Blow-up examples for the Yamabe problem. Zbl 1188.58009 Marques, Fernando C. 6 2009 Compactness and non-compactness for Yamabe-type problems. Zbl 1335.58015 Marques, Fernando Codá 5 2015 Morse inequalities for the area functional. Zbl 1528.53011 Marques, Fernando C.; Montezuma, Rafael; Neves, André 3 2023 Min-max theory, Willmore conjecture and the energy of links. Zbl 1314.53015 Marques, Fernando C.; Neves, André 2 2013 Applications of Almgren-Pitts min-max theory. Zbl 1317.49054 Marques, Fernando C.; Neves, André 1 2014 Abundance of minimal surfaces. Zbl 1423.53073 Marques, Fernando Codá 1 2019 The space of cycles, a Weyl law for minimal hypersurfaces and Morse index estimates. Zbl 1435.53047 Marques, Fernando C.; Neves, André 1 2018 Scalar curvature, conformal geometry, and the Ricci flow with surgery. Zbl 1229.53047 Marques, Fernando Codá 1 2011 The mathematics of Richard Schoen. Zbl 1406.53002 Bray, Hubert L.; Minicozzi, William P. II; Eichmair, Michael; Huang, Lan-Hsuan; Yau, Shing-Tung; Uhlenbeck, Karen; Kusner, Rob; Codá Marques, Fernando; Mese, Chikako; Fraser, Ailana 1 2018 Min-max theory of minimal surfaces and applications. Zbl 1354.53017 Marques, Fernando C.; Neves, André 1 2016 Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature. Zbl 1465.53052 Bessières, Laurent; Besson, Gérard; Maillot, Sylvain; Marques, Fernando C. 1 2021 Recent developments of the Yamabe problem. Zbl 1192.53046 Marques, F. C. 1 2008 Counting minimal surfaces in negatively curved 3-manifolds. Zbl 1502.53094 Calegari, Danny; Marques, Fernando C.; Neves, André 1 2022 Morse inequalities for the area functional. Zbl 1528.53011 Marques, Fernando C.; Montezuma, Rafael; Neves, André 3 2023 Counting minimal surfaces in negatively curved 3-manifolds. Zbl 1502.53094 Calegari, Danny; Marques, Fernando C.; Neves, André 1 2022 Morse index of multiplicity one min-max minimal hypersurfaces. Zbl 1465.53076 Marques, Fernando C.; Neves, André 35 2021 Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature. Zbl 1465.53052 Bessières, Laurent; Besson, Gérard; Maillot, Sylvain; Marques, Fernando C. 1 2021 The catenoid estimate and its geometric applications. Zbl 1439.53064 Ketover, Daniel; Marques, Fernando C.; Neves, André 21 2020 Equidistribution of minimal hypersurfaces for generic metrics. Zbl 1419.53061 Marques, Fernando C.; Neves, André; Song, Antoine 36 2019 Abundance of minimal surfaces. Zbl 1423.53073 Marques, Fernando Codá 1 2019 Density of minimal hypersurfaces for generic metrics. Zbl 1387.53083 Irie, Kei; Marques, Fernando; Neves, André 47 2018 Weyl law for the volume spectrum. Zbl 1390.53034 Liokumovich, Yevgeny; Marques, Fernando; Neves, André 43 2018 The space of cycles, a Weyl law for minimal hypersurfaces and Morse index estimates. Zbl 1435.53047 Marques, Fernando C.; Neves, André 1 2018 The mathematics of Richard Schoen. Zbl 1406.53002 Bray, Hubert L.; Minicozzi, William P. II; Eichmair, Michael; Huang, Lan-Hsuan; Yau, Shing-Tung; Uhlenbeck, Karen; Kusner, Rob; Codá Marques, Fernando; Mese, Chikako; Fraser, Ailana 1 2018 Existence of infinitely many minimal hypersurfaces in positive Ricci curvature. Zbl 1390.53064 Marques, Fernando C.; Neves, André 70 2017 Morse index and multiplicity of \(\min\text{-}\max\) minimal hypersurfaces. Zbl 1367.49036 Marques, Fernando C.; Neves, André 56 2016 Topology of the space of cycles and existence of minimal varieties. Zbl 1361.53048 Marques, Fernando C.; Neves, André 14 2016 Min-max theory and the energy of links. Zbl 1335.57009 Agol, Ian; Marques, Fernando C.; Neves, André 9 2016 Min-max theory of minimal surfaces and applications. Zbl 1354.53017 Marques, Fernando C.; Neves, André 1 2016 Compactness and non-compactness for Yamabe-type problems. Zbl 1335.58015 Marques, Fernando Codá 5 2015 Min-max theory and the Willmore conjecture. Zbl 1297.49079 Marques, Fernando C.; Neves, André 186 2014 The Willmore conjecture. Zbl 1306.53005 Marques, Fernando C.; Neves, André 15 2014 Minimal surfaces: variational theory and applications. Zbl 1373.53004 Marques, Fernando Codá 10 2014 Applications of Almgren-Pitts min-max theory. Zbl 1317.49054 Marques, Fernando C.; Neves, André 1 2014 Min-max theory, Willmore conjecture and the energy of links. Zbl 1314.53015 Marques, Fernando C.; Neves, André 2 2013 Rigidity of min-max minimal spheres in three-manifolds. Zbl 1260.53079 Marques, Fernando C.; Neves, André 36 2012 Deforming three-manifolds with positive scalar curvature. Zbl 1319.53028 Marques, Fernando Codá 34 2012 Deformations of the hemisphere that increase scalar curvature. Zbl 1227.53048 Brendle, Simon; Marques, Fernando C.; Neves, Andre 46 2011 Recent progress on the Yamabe problem. Zbl 1268.53046 Brendle, Simon; Marques, Fernando C. 23 2011 Scalar curvature rigidity of geodesic balls in \(S^n\). Zbl 1237.53037 Brendle, Simon; Marques, Fernando C. 14 2011 Scalar curvature, conformal geometry, and the Ricci flow with surgery. Zbl 1229.53047 Marques, Fernando Codá 1 2011 A compactness theorem for the Yamabe problem. Zbl 1162.53029 Khuri, M. A.; Marques, F. C.; Schoen, R. M. 96 2009 Blow-up phenomena for the Yamabe equation. II. Zbl 1166.53025 Brendle, Simon; Marques, Fernando C. 83 2009 Blow-up examples for the Yamabe problem. Zbl 1188.58009 Marques, Fernando C. 6 2009 Isolated singularities of solutions to the Yamabe equation. Zbl 1143.35323 Marques, Fernando C. 13 2008 Recent developments of the Yamabe problem. Zbl 1192.53046 Marques, F. C. 1 2008 Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary. Zbl 1132.53021 Marques, Fernando C. 42 2007 A priori estimates for the Yamabe problem in the non-locally conformally flat case. Zbl 1101.53019 Marques, Fernando Coda 71 2005 Existence results for the Yamabe problem on manifolds with boundary. Zbl 1090.53043 Marques, Fernando C. 66 2005 Upper bounds for the first eigenvalue of the operator \(L_r\) and some applications. Zbl 0990.53058 Alencar, Hilário; do Carmo, Manfredo; Marques, Fernando 8 2001 all cited Publications top 5 cited Publications all top 5 Cited by 580 Authors 18 Marques, Fernando Codá 13 Arroja Neves, André 12 Vétois, Jérôme 11 Micheletti, Anna Maria 10 Hebey, Emmanuel 10 Wei, Juncheng 10 Zhou, Xin 9 Ghimenti, Marco G. 9 Premoselli, Bruno 8 Kim, Seunghyeok 8 Pistoia, Angela 7 de Moura Almaraz, Sérgio 7 Carlotto, Alessandro 7 Lopes de Lima, Levi 7 Malchiodi, Andrea 7 Ndiaye, Cheikh Birahim 7 Rivière, Tristan 6 Brendle, Simon 6 Chen, Xuezhang 6 Druet, Olivier 6 Li, YanYan 6 Montezuma, Rafael 6 Shi, Yuguang 6 Thizy, Pierre-Damien 6 Wang, Zhichao 5 Bernstein, Jacob 5 Chodosh, Otis 5 Fernández, Juan Carlos 5 Gaspar, Pedro 5 Leung, Man Chun 5 Liokumovich, Yevgeny 5 Mantoulidis, Christos 5 Mondino, Andrea 5 Musso, Monica 5 Robert, Frédéric 5 Song, Antoine 5 Wang, Shaodong 5 Xiong, Jingang 5 Zhang, Lei 4 Barbosa, Ezequiel R. 4 Haslhofer, Robert 4 Heller, Lynn 4 Ho, Pak Tung 4 Jin, Tianling 4 Montenegro, Marcos 4 Pámpano, Álvaro 4 Piccione, Paolo 4 Santos, Almir Silva 4 Sire, Yannick 4 Sun, Liming 4 Wang, Lu 4 Wang, Peng 4 Yuan, Wei 4 Zhu, Jintian 4 Zhu, Jonathan J. H. 3 Ambrozio, Lucas C. 3 Barrett, John William 3 Batista, Márcio 3 Buzano, Reto 3 Caju, Rayssa 3 de Almeida Cavalcante, Marcos Petrúcio 3 Dey, Akashdeep 3 Dos Santos, Fábio Reis 3 Eichmann, Sascha 3 Espinar, José María 3 Gan, Wenzhen 3 Garcke, Harald 3 Gover, Ashwin Rod 3 Gromov, Mikhael Leonidovich 3 Grunau, Hans-Christoph 3 Guaraco, Marco A. M. 3 Hirsch, Jonas 3 Jakob, Ruben 3 Ketover, Daniel 3 Li, Chao 3 Li, Yangyang 3 Mäder-Baumdicker, Elena 3 Miyanishi, Yoshihisa 3 Nguyen, Huy The 3 Nguyen, Luc 3 Nürnberg, Robert 3 Pigati, Alessandro 3 Röger, Matthias 3 Ruiz, David 3 Schatzle, Reiner 3 Sharp, Ben 3 Tran Hung 3 Tuschmann, Wilderich 3 Viana, Celso 3 Waldron, Andrew K. 3 Walsh, Mark G. 3 Wang, Tongrui 3 Zhu, Peng 2 Aiex, Nicolau S. 2 Albujer, Alma L. 2 Allameh, Kuroush 2 Anastasiou, Giorgos 2 Astaneh, Amin Faraji 2 Barros, Abdênago A. 2 Bellettini, Costante ...and 480 more Authors all top 5 Cited in 136 Serials 54 Calculus of Variations and Partial Differential Equations 40 The Journal of Geometric Analysis 23 Advances in Mathematics 20 Mathematische Annalen 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal of Differential Equations 14 Journal of Functional Analysis 14 Transactions of the American Mathematical Society 14 Annals of Global Analysis and Geometry 13 Proceedings of the American Mathematical Society 12 Journal of Differential Geometry 11 Inventiones Mathematicae 11 Communications in Contemporary Mathematics 9 Geometry & Topology 8 Communications on Pure and Applied Mathematics 8 Pacific Journal of Mathematics 7 Journal of Mathematical Analysis and Applications 7 Journal of Geometry and Physics 7 Duke Mathematical Journal 7 Journal für die Reine und Angewandte Mathematik 7 Differential Geometry and its Applications 6 Mathematische Zeitschrift 6 Geometric and Functional Analysis. GAFA 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Archive for Rational Mechanics and Analysis 5 Annals of Mathematics. Second Series 5 Journal of the European Mathematical Society (JEMS) 5 Annales Henri Poincaré 4 Geometriae Dedicata 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Communications in Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 4 Advanced Nonlinear Studies 4 Oberwolfach Reports 4 Science China. Mathematics 3 Communications in Mathematical Physics 3 American Journal of Mathematics 3 Annales de l’Institut Fourier 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 International Journal of Mathematics 3 Selecta Mathematica. New Series 3 Acta Mathematica Sinica. English Series 3 Journal of High Energy Physics 3 Communications on Pure and Applied Analysis 3 Bulletin of the Brazilian Mathematical Society. New Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Frontiers of Mathematics in China 3 Advances in Calculus of Variations 3 Analysis & PDE 3 Bulletin of Mathematical Sciences 2 Classical and Quantum Gravity 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Computational Physics 2 Letters in Mathematical Physics 2 Physics Letters. B 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Compositio Mathematica 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Numerische Mathematik 2 Results in Mathematics 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 2 Bulletin des Sciences Mathématiques 2 Journal of Topology and Analysis 2 Japanese Journal of Mathematics. 3rd Series 2 Séminaire Laurent Schwartz. EDP et Applications 1 General Relativity and Gravitation 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Numerical Analysis 1 Tôhoku Mathematical Journal. Second Series 1 Asymptotic Analysis 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Imaging and Vision 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series B (English Edition) ...and 36 more Serials all top 5 Cited in 46 Fields 429 Differential geometry (53-XX) 189 Partial differential equations (35-XX) 187 Global analysis, analysis on manifolds (58-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 29 Relativity and gravitational theory (83-XX) 26 Manifolds and cell complexes (57-XX) 12 Numerical analysis (65-XX) 9 Quantum theory (81-XX) 7 Functions of a complex variable (30-XX) 7 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Fluid mechanics (76-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Integral equations (45-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Algebraic topology (55-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-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. 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