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. Some have a longer profile: who trained them, what they proved and why it mattered.
Are you on this list? Tools for authors shows how your page reads in search results, writes the links that tie your homepage, your ORCID and this page together, and traces how you connect to anyone in the field through co-authorship and doctoral lineage. Studying the field instead? Start from who works on what, the specialists, the books, notes and talks that explain the subject best, and how to write to a mathematician.
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Written by hand
More than a list of papers: who taught them, what was open, what they proved and where it led. Alphabetical, and not a ranking. Each lists its sources and can be corrected by the person it describes.
Would you like one? If you work in this field, you can ask for a longer profile of yourself. There is no fee and no account. Someone reads every request, and a profile is written where public sources can support it, to the same rules as the others.
For the people on this list
A page here is yours to use. These work on any author here and run in your browser, with no account and nothing sent anywhere.
The exact title and description of your page in a results list, and the identifiers, topics and prizes it publishes as structured data.
Ready-made links for your homepage, CV, ORCID record and email signature, and structured data for your own site, so your name resolves to one person everywhere.
The chain of joint papers between you and anyone in the field, every link a real work, and how many steps you are from Richard S. Hamilton.
Doctoral advisors up the line and students down it, as far as the checked records go, with a way to add your own.
Who works on what
One page per topic: its specialists, longer profiles, who has written most on it here, frequent collaborations and the newest papers. A plain way in if you are looking for a supervisor, a speaker, a referee or a co-author.
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.
Only the name and links you ask to show are published. Your email address is not. You can ask for your page to be changed or removed at any time.
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.
No author matches that. Try clearing a filter.
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.
On this site
What the papers collected here say about the field as a whole. They cover these flows on arXiv since 2021, with older work the site recommends, so this describes this subject and nothing wider.
1,884 people hold an NP number, across 1,498 papers and 55 topics. Between them they make up 2,861 collaborations: pairs of people who share at least one work here.
This is a field of joint work and close ties. 688 people are linked to one another, and to Richard S. Hamilton, by an unbroken chain of co-authors, and you can trace the chain between any two of them. In the last twelve months 586 people here had a new paper. The rest of the list is smaller groups of collaborators and 166 people whose work here has one author.
Follow the work itself on the Papers page, the topic guides and the Library, and the people on the Events page, where seminars and meetings are listed.
Quick answers
Everyone whose paper, book, notes or talk is on this site: 1,884 people so far, from Fields medalists to first-year PhD students, on the same terms. There is nothing to apply for. A page builds itself from the arXiv feed, the Library and the Events page.
Search your name, NP number or ORCID in Every author, or use the picker on Tools for authors, which also shows what your page tells search engines. Different spellings of a name are joined where an identifier or a shared co-author shows they are one person.
Every page has a button for that. Send a preferred spelling, an ORCID, a homepage, a line about your work, or ask for the page to be removed. Someone reads every message, and nothing asks for an account.
Use one form of your name everywhere, confirm your ORCID, and link your homepage, your ORCID record and your page here to each other. Tools for authors writes the links for you, and shows how your page reads in search results. No one can promise a search ranking; consistent, linked records are what search engines can act on.
A permanent number that belongs to one person in this community, written like NP-RC-482917. It is random, so it carries no order or rank, and it stays the same through any change of name or job. If two numbers turn out to be one person, they are merged: the person keeps one, and the other is retired and never given to anyone else. It sits beside ORCID, which remains the record across every field.
The profiles began with the people with the most works on the site and are written by hand from the sources listed under each one: papers, prize citations, the person's own pages. Each can be corrected or removed by the person it describes. Researchers can also ask for one with the “Request a longer profile” button; it is written if public sources can support it, and it follows the same rules.
No. They count what is collected on this site, which is one narrow field and mostly papers since 2021. The one list in order of size is Most papers, and it says what it counts.
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 1,884 people hold one, across 1,498 papers and 55 topics, and 586 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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