Authors · who works on what
3-manifolds researchers
The dimension where Ricci flow solved the classification problem. On this site, 179 people have written on 3-manifolds, across 123 papers collected from arXiv. New to it? Read the 3-manifolds guide first.
A way in
Specialists
People whose work on 3-manifolds is a good place to start, in alphabetical order. No one left off is slighted: it is a way in, not a ranking.
Written by hand
Longer profiles
- Richard BamlerBuilt a compactness and structure theory for Ricci flow in all dimensions; with Bruce Kleiner, proved Perelman's conjecture on flow through singularities.
- 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.
- Robert HaslhoferProved the mean convex neighbourhood conjecture at necks with collaborators, reworked mean convex flows with Kleiner, defined weak Ricci flow with Naber.
- 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.
- Gang TianIntroduced K-stability for Kähler–Einstein metrics, wrote a detailed proof of the Poincaré conjecture with Morgan, and studied Kähler–Ricci flow.
- 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.
On this site
Most papers
Who has the most papers here tagged 3-manifolds. 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.
- 166 papers, 2 in 2022, 2 in 2023, 1 in 2025, 1 in 2026
- 255 papers, 3 in 2021, 1 in 2023, 1 in 2024
- 333 papers, 3 in 2025
- 333 papers, 1 in 2006, 1 in 2014, 1 in 2017
- 333 papers, 2 in 2022, 1 in 2025
- 333 papers, 1 in 2006, 1 in 2014, 1 in 2026
- 333 papers, 1 in 2022, 1 in 2023, 1 in 2024
- 333 papers, 1 in 2022, 2 in 2023
- 333 papers, 1 in 2002, 2 in 2003
- 333 papers, 2 in 2022, 1 in 2026
- 333 papers, 1 in 2023, 2 in 2024
Who writes together
Frequent collaborations
Pairs with several joint papers on 3-manifolds here, in alphabetical order.
- Rafael Belli and Rafael López 2 joint papers
- Bennett Chow and Yuan Liao 2 joint papers
- Bennett Chow and Ziyang Qin 2 joint papers
- Alix Deruelle and Felix Schulze 2 joint papers
- Alix Deruelle and Miles Simon 2 joint papers
- Bruce Kleiner and John Lott 2 joint papers
- Man-Chun Lee and Peter Topping 3 joint papers
- Yuan Liao and Ziyang Qin 2 joint papers
Trace the chain between any two people with the connection finder.
A to Z
Everyone with several papers
49 people with two or more papers on 3-manifolds here. The full directory has everyone.
- Romina M. Arroyo
- Richard Bamler
- Rafael Belli
- Simon Brendle
- Huai-Dong Cao
- Pak-Yeung Chan
- Shu-Cheng Chang
- Kyeongsu Choi
- Bennett Chow
- Fábio Nunes da Silva
- Krishnendu De
- Uday Chand De
- Burcu Bektaş Demirci
- Alix Deruelle
- Ke Feng
- Huabin Ge
- Yingbo Han
- Robert Haslhofer
- Ruojing Jiang
- Bruce Kleiner
- Yi Lai
- Man-Chun Lee
- Yu Li
- Yuan Liao
- Rafael López
- John Lott
- M. J. Luo
- Zilu Ma
- Minghao Miao
- Ángel J. Murcia
- Gregório Silva Neto
- Gabriela P. Ovando
- Franco Vargas Pallete
- Grigori Perelman
- Sébastien Picard
- Ziyang Qin
- Mariel Sáez
- Felix Schulze
- Nataša Šešum
- C. S. Shahbazi
- Vanessa Silva
- Miles Simon
- Caleb Suan
- Gang Tian
- Peter Topping
- Linsheng Wang
- Chin-Tung Wu
- Kai Xu
- Xu Xu
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