T. Ilmanen

Applied Mathematics · 2001–2018

A researcher in the Science corpus: 8 papers; trusts 9 researchers and is trusted by 39 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 30 citations into it; #454 of 7,620 by trust here, #407 by citations
• Geometry and Topology — 21 citations into it; #1,149 of 7,422 by trust here, #653 by citations
• Astronomy and Astrophysics — 9 citations into it; #1,710 of 10,964 by trust here, #4,839 by citations

Whom T. Ilmanen trusts overall

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

1. A. Neves
2. H. Bray
3. G. Tian
4. T. Colding
5. G. Perelman
6. B. White
7. Klaus H. Ecker
8. W. Minicozzi
9. Binglong Chen
10. F. Schulze

Who trusts T. Ilmanen overall

1. Huaihuo Cao
2. Roger Moser
3. F. Schulze
4. H. Bray
5. Yu Li
6. Jian Song
7. B. Weinkove
8. Dan A. Lee
9. Qiang Du
10. T. Colding

Papers from T. Ilmanen's perspective

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

1. Regularity Theory for Mean Curvature Flow
2. PROOF OF THE RIEMANNIAN PENROSE INEQUALITY USING THE POSITIVE MASS THEOREM
3. The entropy formula for the Ricci flow and its geometric applications
4. Uniqueness and pseudolocality theorems of the mean curvature flow
5. Translating solutions to Lagrangian mean curvature flow
6. Rotationally symmetric shrinking and ex - panding gradient Kahler - Ricci solitons
7. Boundary conditions at spatial infinity from a Hamiltonian point of view
8. Stability of the Ricci flow at Ricci-flat metrics
9. Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman
10. The size of the singular set in mean curvature flow of mean-convex sets

Their papers

• Graphical translators for mean curvature flow (2018) — 104 citations
• On short time existence for the planar network flow (2014) — 77 citations
• Rigidity of generic singularities of mean curvature flow (2013) — 89 citations
• The round sphere minimizes entropy among closed self-shrinkers (2012) — 109 citations
• Higher regularity of the inverse mean curvature flow (2008) — 106 citations
• Gaussian densities and stability for some Ricci solitons (2004) — 138 citations
• Rotationally symmetric shrinking and ex - panding gradient Kahler - Ricci solitons (2003) — 339 citations
• The inverse mean curvature flow and the Riemannian Penrose Inequality (2001) — 965 citations