Mentors from a distance

People

The people whose work I read, and whose books and notes I'm learning from. I keep this list partly to follow what they publish, and partly as a reminder that behind every paper is a person who was once also stuck. If you ever write to one of them, do it carefully — here's how I'd go about it.

Before you write to anyone

How I'd write to a mathematician

  1. Be specific. Name the text, section and line (“section 3 of the notes, the inequality after equation (3.4)”), not “I don't understand surgery”.
  2. Show your attempt in a few lines. It shows respect for their time and usually halves the answer.
  3. Ask one question. Keep the email short enough to answer between meetings.
  4. Pick the right person. Choose the author of the text you're reading, or the expert on that exact topic (see “Good to ask about”).
  5. Be patient. Researchers get a lot of email. Wait two weeks before one polite follow-up, and don't take silence personally.
  6. Close the loop. If someone helps, thank them and say what you learned. Writing it up in your journal is a nice way to do that.

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.

A template that respects their time
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]

Researchers

21 specialists

Their newest papers show up here on their own, pulled in with the daily arXiv sync. I last went through the list on Sep 22, 2026.

Richard Bamler

UC Berkeley

Good to ask aboutThe modern theory of singularities, and Ricci flow beyond dimension 3.

Dan Knopf

University of Texas at Austin

  • With Chow: The Ricci Flow: An Introduction (AMS textbook)
  • Neckpinch singularities and stability of Ricci flow solutions

Good to ask aboutMaterial from the Chow–Knopf textbook, and neckpinches.

Gang Tian

Peking University

Good to ask aboutThe complete proof of the Poincaré conjecture, and Kähler–Ricci flow.

Huai-Dong Cao

Lehigh University

Good to ask aboutRicci solitons, and the Cao–Zhu exposition.

Content creators & expositors

Learn from them

The notes, talks and books that made something click for me, or that I'm saving for when I get there.