Authors · the people of the Ricci flow community
The people working on Ricci flow, the Poincaré conjecture and the flows around them. Everyone with a paper or other resource on this site has an NP number and a page: their papers here, the topics those papers cover, the people they write with most, and where the site recommends their work. Below them are the specialists, with what each is known for and good to ask about, the books, notes and talks that explain the subject best, and how to write to a mathematician.
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On this site
Who has the most papers on this site. The count covers only what is collected here, mostly arXiv papers since 2021 on these flows, so it reflects activity in this subject and nothing wider.
For this community only
An NP ID is this community's own identifier. arXiv and ORCID cover every researcher in every field; an NP ID exists only for Ricci flow, the Poincaré conjecture and the geometric flows around them. Holding one says where your work is.
Have a paper here? You already have an ID: search your name below. Studying or working on these topics, but not listed yet? Request one, and say what connects you to the field: a paper, a thesis, a seminar, a course, or what you are working through now.
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Search and filter
Find anyone by name, NP number or ORCID. Open an author and press Follow to see their new papers at the top of this page when you come back.
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Who to know
A way into the subject for newcomers, in alphabetical order: 33 researchers and expositors, chosen by hand for the reading they make possible. It is not a ranking, and many who have shaped the field are not on it. Each entry says what the person is known for and what they are good to ask about. Their newest papers appear here on their own, with the daily arXiv sync; the list itself was last reviewed on Oct 9, 2026. Behind every paper is a person who was once also stuck: if you write to one of them, do it carefully.
Pick a specialty to see who works on it. It combines with the search box.
Good to ask aboutThe sphere theorem by Ricci flow, and curvature flows of hypersurfaces.
Good to ask aboutNeckpinches and the fine structure of singularities.
Good to ask aboutThe modern theory of singularities, and Ricci flow beyond dimension 3.
Good to ask aboutRicci flow and Einstein metrics on homogeneous spaces.
Good to ask aboutSingularity models, solitons, and curvature pinching.
Good to ask aboutRicci solitons, and the Cao–Zhu exposition.
Good to ask aboutThe standard textbooks, and Harnack inequalities.
Good to ask aboutThe finite-extinction route to the Poincaré conjecture.
Good to ask aboutKähler–Ricci solitons and their classification.
Good to ask aboutAncient solutions and parabolic PDE methods.
Good to ask aboutWeak and singular flows, and links with mean curvature flow.
Good to ask aboutHow mean curvature flow parallels Ricci flow, pinching estimates and surgery.
Good to ask aboutNeckpinches, and connections to physics.
Good to ask aboutFollowing Perelman's arguments in detail.
Good to ask aboutMaterial from the Chow–Knopf textbook, and neckpinches.
Good to ask aboutUniqueness questions: backwards uniqueness, and rigidity of shrinking solitons.
Good to ask aboutWhen an Einstein metric is stable or unstable under Ricci flow.
Good to ask aboutRicci flow with symmetry, where the PDE becomes an ODE.
Good to ask aboutLaplacian flow and G₂ geometry.
Good to ask aboutPerelman's papers, geometrization, and synthetic notions of curvature.
Good to ask aboutThe full proof of the Poincaré conjecture, as written up in the Clay monograph.
Good to ask aboutThe geometry of Ricci shrinkers, especially in dimension four.
Good to ask aboutFlows from singular initial data.
Good to ask aboutHow singularities form and what they look like.
Good to ask aboutSmoothing rough metrics with Ricci flow.
Good to ask aboutThe complex-geometric side of the flow.
Good to ask aboutGeneralized Ricci flow and pluriclosed flow, the non-Kähler relatives.
Good to ask aboutThe complete proof of the Poincaré conjecture, and Kähler–Ricci flow.
Good to ask aboutAnything from his lecture notes, which makes him a natural first contact for a self-learner.
Good to ask aboutKähler–Ricci and Chern–Ricci flows.
Good to ask aboutAn accessible entry into Kähler–Ricci flow.
Good to ask aboutInvariant curvature conditions and sphere theorems.
Good to ask aboutHeat kernels, Sobolev inequalities and the analysis behind Perelman's estimates.
No one matches that filter.
Expositors
The expositions that make this material learnable, from first courses to the research frontier.
Before you write to anyone
Contact details are on each person's official homepage. They aren't copied here so they stay current and don't get scraped. Being listed here reflects published work, not an endorsement by the person. If you're listed and something is wrong, or you'd rather not be listed, write in and it will be changed — see how this site works.
Subject: Question about [specific result] in [paper/notes], [section/page] Dear Professor [Name], I'm teaching myself Ricci flow and have been working through [text], currently [chapter/section]. I'm stuck on [one precise point: an equation, a step in a proof]. Here is what I tried: [2–4 lines]. Could you point me to where my reasoning goes wrong, or to a reference that treats this step in more detail? Thank you for your time. I know it's limited. Best wishes, [Your name] [Link to your learning journal]
Stay current
These are the places new results turn up first.
Why this list exists
A field this small can know its own people. The number is how it keeps track of them.
Six digits that belong to one person here, written like NP-RC-482917. NP is Neckpinch, this site, named after the neckpinch, the singularity where Ricci flow squeezes a manifold's thin neck to a point. RC is the Ricci flow community it serves. The digits are drawn at random, so they carry no order, date or rank.
arXiv and ORCID are built for all of science, and they should be. Neither can say who works on this. An NP number can, because it is issued for nothing else. Today 1,676 people hold one, across 1,486 papers and 55 topics, and 583 of them had a paper here in the last twelve months.
Everyone whose paper, book or notes are on this site has one already, with nothing to apply for: Fields medalists and first-year PhD students, in one list on the same terms. Students and self-taught readers working through this material can request one, because the people learning it now are part of this community too.
It doesn't replace ORCID, which remains the record across every field, and is shown beside the NP number wherever it is confirmed. A number is never reissued or reassigned. It survives a change of name or job, and if two numbers turn out to be one person, they become one and the old link still works.
It is not a qualification, a rating or an endorsement. It costs nothing, asks for no account, and you can ask for yours to be changed or removed at any time. The one list here in any order is Most papers, and it counts only what is collected on this site.
A script builds it from the site's own papers, Library and Events and keeps it current; a few well-known mathematicians add short facts from Wikipedia. The details. Is something missing or wrong, about you or anyone else? Write in, and it will be fixed.
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