F. C. Marques

Applied Mathematics · Inventiones Mathematicae · 2004–2017

A researcher in the Science corpus: 14 papers; trusts 32 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 67 citations into it; #301 of 7,620 by trust here, #333 by citations
• Geometry and Topology — 56 citations into it; #420 of 7,422 by trust here, #418 by citations
• Mathematical Physics — 16 citations into it; #1,684 of 8,562 by trust here, #1,895 by citations
• Computational Theory and Mathematics — 15 citations into it; #3,821 of 12,182 by trust here, #5,046 by citations
• Computer Graphics and Computer-Aided Design — 6 citations into it

Whom F. C. Marques trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Misha Gromov
2. T. Colding
3. A. Neves
4. Larry Guth
5. Marco A. M. Guaraco
6. Camillo De Lellis
7. Daniel Ketover
8. Xin Zhou
9. Ernst Kuwert
10. Yevgeny Liokumovich

Who trusts F. C. Marques overall

1. Antoine Song
2. M. Li
3. Marco A. M. Guaraco
4. Xin Zhou
5. S. Brendle
6. A. Neves
7. Robert Haslhofer
8. Yevgeny Liokumovich
9. Otis Chodosh
10. Daniel Ketover

Papers from F. C. Marques's perspective

Ordered by how strongly the researchers F. C. Marques trusts endorse each paper. Same corpus, a different order for every researcher.

1. Isoperimetry of Waists and Concentration of Maps
2. Existence of infinitely many minimal hypersurfaces in positive Ricci curvature (Inventiones Mathematicae)
3. Minimax Problems Related to Cup Powers and Steenrod Squares
4. Min-Max theory and the Willmore conjecture
5. Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman
6. The catenoid estimate and its geometric applications (Journal of differential geometry)
7. Geometric Measure Theory
8. Min-max for phase transitions and the existence of embedded minimal hypersurfaces
9. Area‐minimizing projective planes in 3‐manifolds
10. Rigidity of min-max minimal spheres in three-manifolds

Their papers

• A Compactness Theorem for the Yamabe Problem (2009) — 206 citations
• A priori estimates for the Yamabe problem in the non-locally conformally flat case (2004) — 144 citations
• Equidistribution of minimal hypersurfaces for generic metrics (2017) — 122 citations
• Density of minimal hypersurfaces for generic metrics. (2017) — 107 citations
• The catenoid estimate and its geometric applications (2016) — 60 citations
• Weyl law for the volume spectrum (2016) — 145 citations
• Morse index of multiplicity one min-max minimal hypersurfaces (2015) — 135 citations
• The Willmore Conjecture (2014) — 50 citations
• Existence of infinitely many minimal hypersurfaces in positive Ricci curvature (2013) — 202 citations
• Min-Max theory and the Willmore conjecture (2012) — 528 citations
• Rigidity of min-max minimal spheres in three-manifolds (2011) — 120 citations
• Blow-up phenomena for the Yamabe equation II (2009) — 147 citations
• Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary (2007) — 90 citations
• Existence results for the Yamabe problem on manifolds with boundary (2005) — 145 citations