Authors · who works on what

Boundaries & non-compact researchers

Flows on manifolds with boundary or infinite extent. On this site, 297 people have written on boundaries & non-compact, across 225 papers collected from arXiv. New to it? Read the boundaries & non-compact guide first.

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Written by hand

Longer profiles

Simon BrendleWith Schoen proved the differentiable sphere theorem; also solved the Lawson conjecture and classified three-dimensional Ricci flow singularity models.
Huai-Dong CaoProved long-time existence of the Kähler–Ricci flow in 1985, found Harnack estimates for it, and studied the geometry and stability of Ricci solitons.
Pak-Yeung ChanStudies Ricci solitons and the singularities they model: volume growth, curvature decay, unique tangent flows and Kähler flying wings.
Kyeongsu ChoiStudies singularities of curvature flows: ancient solutions, the mean convex neighbourhood conjecture in R^3, and roundness under Gauss curvature flow.
Man-Chun LeeBuilds Ricci flows from rough or pinched data: Hamilton's pinching conjecture, collapsing Kähler–Ricci flows and scalar curvature rigidity.
Yu LiClassified Kähler Ricci shrinker surfaces with Bing Wang and, with Hanbing Fang, built a Gromov–Hausdorff structure theory for Ricci flow limits.
Nataša ŠešumClassified compact ancient solutions of Ricci flow and curve shortening with Daskalopoulos, Hamilton, Angenent and Brendle; shared the 2023 Satter Prize.
Peter ToppingWrote Lectures on the Ricci Flow, studied Ricci flow from rough surfaces, and with Man-Chun Lee built the flow behind Hamilton's pinching conjecture.
Yong WeiUses curvature flows to prove Alexandrov–Fenchel inequalities in hyperbolic space and the sphere, and proved stability for the G2 Laplacian flow.
Yongjia ZhangEstablished Perelman's link between bounded entropy and noncollapsing for ancient Ricci flows, and studies their limits as metric solitons.

On this site

Most papers

Who has the most papers here tagged boundaries & non-compact. The count covers only what is collected on this site, mostly since 2021, and tags are assigned automatically, so it reflects activity here and nothing wider.

1
Man-Chun LeeNP-RC-097140iDRicci flow · 3-manifolds
77 papers, 2 in 2022, 1 in 2023, 2 in 2025, 2 in 2026
2
Alix DeruelleNP-RC-916012Kähler–Ricci solitons · Kähler geometry
55 papers, 1 in 2022, 1 in 2024, 1 in 2025, 2 in 2026
2
Zhizhang WangNP-RC-344835Self-shrinkers & translators · Other curvature flows
55 papers, 2 in 2022, 1 in 2024, 1 in 2025, 1 in 2026
2
Junming XieNP-RC-479678iD4-manifolds · Sphere theorems
55 papers, 1 in 2022, 2 in 2025, 2 in 2026
5
Pak-Yeung ChanNP-RC-058034iDRicci solitons · (Non)collapsing
44 papers, 1 in 2021, 1 in 2023, 2 in 2025
5
Longteng ChenNP-RC-790292Kähler–Ricci flow · Kähler geometry
44 papers, 2 in 2025, 2 in 2026
5
Charles CifarelliNP-RC-740982iDKähler–Ricci solitons · Kähler geometry
44 papers, 1 in 2022, 1 in 2023, 1 in 2024, 1 in 2025
5
Ronan ConlonNP-RC-260648iDKähler–Ricci solitons · Kähler geometry
44 papers, 1 in 2022, 1 in 2025, 2 in 2026
5
Miles SimonNP-RC-015846iDScalar curvature · Weak & singular flows
44 papers, 1 in 2021, 1 in 2024, 2 in 2026
5
Peter ToppingNP-RC-464650iDSphere theorems · Ricci flow
44 papers, 1 in 2021, 2 in 2022, 1 in 2026