P. Topping

Applied Mathematics · 2002–2017

A researcher in the Science corpus: 11 papers; trusts 18 researchers and is trusted by 12 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 44 citations into it; #1,319 of 7,620 by trust here, #1,447 by citations
• Geometry and Topology — 34 citations into it; #1,691 of 7,422 by trust here, #1,531 by citations
• Astronomy and Astrophysics — 23 citations into it; #3,429 of 10,964 by trust here, #7,439 by citations

Whom P. Topping trusts overall

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

1. G. Perelman
2. S. Brendle
3. T. Rivière
4. Binglong Chen
5. Bennett Chow
6. Christoph E. Boehm
7. A. Naber
8. Gregor Giesen
9. Jeff Cheeger
10. T. Colding

Who trusts P. Topping overall

1. Miaomiao Zhu
2. S. Brendle
3. Valentino Tosatti
4. Esther Cabezas-Rivas
5. Burkhard Wilking
6. José Antonio Carrillo
7. Reto Muller
8. Huaihuo Cao
9. Huiling Gu
10. Bruce Kleiner

Papers from P. Topping's perspective

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

1. Uniqueness of the Ricci flow on complete noncompact manifolds
2. The entropy formula for the Ricci flow and its geometric applications
3. On the completeness of gradient Ricci solitons
4. A local regularity theorem for mean curvature flow
5. On the structure of spaces with Ricci curvature bounded below. II
6. Harmonic Maps, Conservation Laws, And Moving Frames
7. Conservation laws for conformally invariant variational problems
8. Manifolds with positive curvature operators are space forms
9. On the singularities of spaces with bounded Ricci curvature
10. Existence of Ricci Flows of Incomplete Surfaces

Their papers

• Winding behaviour of finite-time singularities of the harmonic map heat flow* (2004) — 59 citations
• Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow (2004) — 68 citations
• Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces (2017) — 78 citations
• Decay estimates for Rivière’s equation, with applications to regularity and compactness (2011) — 60 citations
• Almost-Schur lemma (2010) — 56 citations
• Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics (2010) — 83 citations
• On type-I singularities in Ricci flow (2010) — 181 citations
• Existence of Ricci Flows of Incomplete Surfaces (2010) — 106 citations
• Relating diameter and mean curvature for submanifolds of Euclidean space (2008) — 84 citations
• Lectures on the Ricci Flow (2006) — 335 citations
• Reverse Bubbling and Nonuniqueness in the Harmonic Map Flow (2002) — 73 citations