R. Schoen

Applied Mathematics · with Fraser · 2000–2017

A researcher in the Science corpus: 9 papers; trusts 16 researchers and is trusted by 58 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 30 citations into it; #201 of 7,620 by trust here, #355 by citations
• Mathematical Physics — 15 citations into it; #7,262 of 8,562 by trust here, #5,088 by citations
• Geometry and Topology — 11 citations into it; #292 of 7,422 by trust here, #472 by citations
• Computational Theory and Mathematics — 8 citations into it; #3,083 of 12,182 by trust here, #3,796 by citations
• Astronomy and Astrophysics — 6 citations into it

Whom R. Schoen trusts overall

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

1. S. Brendle
2. A. Fraser
3. G. Kokarev
4. D. Joyce
5. Christoph E. Boehm
6. P. Chruściel
7. G. Perelman
8. Ahmad El Soufi
9. A. Girouard
10. Burkhard Wilking

Who trusts R. Schoen overall

1. Hong-wei Xu
2. S. Brendle
3. M. Li
4. Burkhard Wilking
5. J. Gu
6. Weiyong He
7. Daniel Ketover
8. T. Colding
9. Jingyi Chen
10. Hung Tran

Papers from R. Schoen's perspective

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

1. Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations
2. Compact Manifolds with Special Holonomy
3. Ricci flow with surgery on three-manifolds
4. Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature
5. Blow-up phenomena for the Yamabe equation II
6. Blow-up phenomena for the Yamabe equation
7. Manifolds with 1/4-pinched curvature are space forms
8. Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary
9. Variational aspects of Laplace eigenvalues on Riemannian surfaces
10. EIGENFUNCTIONS AND NODAL SETS

Their papers

• A Compactness Theorem for the Yamabe Problem (2009) — 206 citations
• Minimal surfaces and eigenvalue problems (2013) — 84 citations
• On the Asymptotics for the Vacuum Einstein Constraint Equations (2003) — 298 citations
• Positive scalar curvature and minimal hypersurface singularities (2017) — 218 citations
• Sharp eigenvalue bounds and minimal surfaces in the ball (2012) — 289 citations
• The first Steklov eigenvalue, conformal geometry, and minimal surfaces (2009) — 288 citations
• Manifolds with 1/4-pinched curvature are space forms (2007) — 394 citations
• Classification of manifolds with weakly 1/4-pinched curvatures (2007) — 166 citations
• Minimizing area among Lagrangian surfaces: The mapping problem (2000) — 166 citations