Antoine Song

Geometry and Topology · 2017–2018

A researcher in the Science corpus: 2 papers; trusts 17 researchers and is trusted by 3 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 25 citations into it; #5,032 of 7,422 by trust here, #5,008 by citations
• Applied Mathematics — 24 citations into it; #5,094 of 7,620 by trust here, #5,097 by citations
• Mathematical Physics — 6 citations into it

Whom Antoine Song trusts overall

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

1. F. C. Marques
2. A. Neves
3. Marco A. M. Guaraco
4. Misha Gromov
5. Larry Guth
6. B. Sharp
7. Xin Zhou
8. Daniel Ketover
9. M. Li
10. P. Gaspar

Who trusts Antoine Song overall

1. M. Li
2. F. C. Marques

Papers from Antoine Song's perspective

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

1. Isoperimetry of Waists and Concentration of Maps
2. Minimax Problems Related to Cup Powers and Steenrod Squares
3. Existence of infinitely many minimal hypersurfaces in positive Ricci curvature (Inventiones Mathematicae)
4. Min-Max theory and the Willmore conjecture
5. Min-max for phase transitions and the existence of embedded minimal hypersurfaces
6. Density of minimal hypersurfaces for generic metrics.
7. Weyl law for the volume spectrum
8. Equidistribution of minimal hypersurfaces for generic metrics (Inventiones Mathematicae)
9. The Allen–Cahn equation on closed manifolds (Calculus of Variations and Partial Differential Equations)
10. The catenoid estimate and its geometric applications (Journal of differential geometry)

Their papers

• Existence of infinitely many minimal hypersurfaces in closed manifolds (2018) — 126 citations
• Equidistribution of minimal hypersurfaces for generic metrics (2017) — 122 citations