Fernando C. Marques

1.4k total citations
22 papers, 545 citations indexed

About

Fernando C. Marques is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Fernando C. Marques has authored 22 papers receiving a total of 545 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Applied Mathematics, 16 papers in Geometry and Topology and 8 papers in Mathematical Physics. Recurrent topics in Fernando C. Marques's work include Geometric Analysis and Curvature Flows (18 papers), Geometry and complex manifolds (11 papers) and Nonlinear Partial Differential Equations (7 papers). Fernando C. Marques is often cited by papers focused on Geometric Analysis and Curvature Flows (18 papers), Geometry and complex manifolds (11 papers) and Nonlinear Partial Differential Equations (7 papers). Fernando C. Marques collaborates with scholars based in Brazil, United States and United Kingdom. Fernando C. Marques's co-authors include André Neves, Simon Brendle, Richard Schoen, Marcus Khuri, Kei Irie, Manfredo do Carmo, Hilário Alencar, Danny Calegari, Laurent Bessières and Gérard Besson and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Journal of Differential Geometry.

In The Last Decade

Fernando C. Marques

20 papers receiving 520 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Fernando C. Marques Brazil 10 524 290 196 152 29 22 545
Zheng-Chao Han United States 8 503 1.0× 380 1.3× 79 0.4× 172 1.1× 20 0.7× 14 529
Zindine Djadli France 10 553 1.1× 295 1.0× 170 0.9× 135 0.9× 70 2.4× 16 569
Xi-Ping Zhu China 11 412 0.8× 169 0.6× 169 0.9× 109 0.7× 94 3.2× 17 434
Dimiter Vassilev United States 11 333 0.6× 150 0.5× 117 0.6× 135 0.9× 43 1.5× 26 361
Xingwang Xu Singapore 15 781 1.5× 377 1.3× 149 0.8× 228 1.5× 53 1.8× 44 798
Yuxin Ge France 12 345 0.7× 142 0.5× 112 0.6× 69 0.5× 76 2.6× 35 359
Sun Chang United States 10 637 1.2× 144 0.5× 187 1.0× 229 1.5× 41 1.4× 13 669
Tobias Lamm Germany 10 228 0.4× 71 0.2× 103 0.5× 70 0.5× 17 0.6× 23 245
E. Lami Dozo Argentina 7 150 0.3× 328 1.1× 256 1.3× 78 0.5× 20 0.7× 12 397
Chao Xia China 12 453 0.9× 150 0.5× 166 0.8× 113 0.7× 105 3.6× 48 468

Countries citing papers authored by Fernando C. Marques

Since Specialization
Citations

This map shows the geographic impact of Fernando C. Marques's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Fernando C. Marques with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Fernando C. Marques more than expected).

Fields of papers citing papers by Fernando C. Marques

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Fernando C. Marques. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Fernando C. Marques. The network helps show where Fernando C. Marques may publish in the future.

Co-authorship network of co-authors of Fernando C. Marques

This figure shows the co-authorship network connecting the top 25 collaborators of Fernando C. Marques. A scholar is included among the top collaborators of Fernando C. Marques based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Fernando C. Marques. Fernando C. Marques is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Marques, Fernando C., et al.. (2025). Riemannian metrics on the sphere with Zoll families of minimal hypersurfaces. Journal of Differential Geometry. 130(2).
2.
Marques, Fernando C., et al.. (2023). Morse inequalities for the area functional. Journal of Differential Geometry. 124(1). 3 indexed citations
3.
Calegari, Danny, Fernando C. Marques, & André Neves. (2022). Counting minimal surfaces in negatively curved 3-manifolds. Duke Mathematical Journal. 171(8). 2 indexed citations
4.
Bessières, Laurent, et al.. (2020). Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature. Journal of the European Mathematical Society. 23(1). 153–184. 3 indexed citations
5.
Marques, Fernando C., et al.. (2019). Equidistribution of minimal hypersurfaces for generic metrics. Inventiones mathematicae. 216(2). 421–443. 31 indexed citations
6.
Marques, Fernando C. & André Neves. (2019). Morse theory for the area functional. São Paulo Journal of Mathematical Sciences. 15(1). 268–279. 3 indexed citations
7.
Irie, Kei, Fernando C. Marques, & André Neves. (2018). Density of minimal hypersurfaces for generic metrics. Annals of Mathematics. 187(3). 38 indexed citations
8.
Marques, Fernando C. & André Neves. (2017). The space of cycles, a Weyl law for minimal hypersurfaces and Morse index estimates. 22(1). 319–329.
9.
Marques, Fernando C. & André Neves. (2016). Morse index and multiplicity of min-max minimal hypersurfaces. 4(4). 463–511. 45 indexed citations
10.
Marques, Fernando C. & André Neves. (2016). Topology of the space of cycles and existence of minimal varieties. 21(1). 165–177. 8 indexed citations
11.
Marques, Fernando C. & André Neves. (2014). The Willmore Conjecture. 116(4). 201–222. 10 indexed citations
12.
Marques, Fernando C. & André Neves. (2013). Applications of Almgren-Pitts Min-max theory. 2013(1). 1–71. 1 indexed citations
13.
Marques, Fernando C. & André Neves. (2013). Min-max theory, Willmore conjecture and the energy of links. Bulletin of the Brazilian Mathematical Society New Series. 44(4). 681–707. 1 indexed citations
14.
Khuri, Marcus, Fernando C. Marques, & Richard Schoen. (2009). A compactness theorem for the Yamabe problem. Journal of Differential Geometry. 81(1). 105 indexed citations
15.
Brendle, Simon & Fernando C. Marques. (2009). Blow-up phenomena for the Yamabe equation II. Journal of Differential Geometry. 81(2). 78 indexed citations
16.
Marques, Fernando C.. (2008). Isolated singularities of solutions to the Yamabe equation. Calculus of Variations and Partial Differential Equations. 32(3). 349–371. 18 indexed citations
17.
Marques, Fernando C.. (2007). Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary. Communications in Analysis and Geometry. 15(2). 381–405. 41 indexed citations
18.
Marques, Fernando C.. (2005). A priori estimates for the Yamabe problem in the non-locally conformally flat case. Journal of Differential Geometry. 71(2). 79 indexed citations
19.
Marques, Fernando C.. (2005). Existence results for the Yamabe problem on manifolds with boundary. Indiana University Mathematics Journal. 54(6). 1599–1620. 62 indexed citations
20.
Alencar, Hilário, Fernando C. Marques, & Manfredo do Carmo. (2001). Upper bounds for the first eigenvalue of the operator $L\sb r$ and some applications. Illinois Journal of Mathematics. 45(3). 8 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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