Authors · who works on what
Singularities researchers
Where curvature blows up — and how to understand or continue through it. On this site, 340 people have written on singularities, across 313 papers collected from arXiv. New to it? Read the singularities guide first.
A way in
Specialists
People whose work on singularities 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.
- 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.
- Panagiota DaskalopoulosTrained in nonlinear diffusion; with Hamilton, Šešum, Angenent and Brendle, classified compact ancient solutions of Ricci and curve shortening flows.
- Robert HaslhoferProved the mean convex neighbourhood conjecture at necks with collaborators, reworked mean convex flows with Kleiner, defined weak Ricci flow with Naber.
- 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.
- 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 singularities. 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.
- 11313 papers, 4 in 2021, 1 in 2022, 2 in 2023, 1 in 2024, 1 in 2025, 4 in 2026
- 21111 papers, 2 in 2021, 3 in 2022, 1 in 2023, 1 in 2024, 1 in 2025, 3 in 2026
- 31010 papers, 2 in 2022, 2 in 2023, 3 in 2025, 3 in 2026
- 499 papers, 1 in 2021, 2 in 2022, 1 in 2023, 1 in 2024, 2 in 2025, 2 in 2026
- 588 papers, 1 in 2017, 1 in 2020, 1 in 2021, 1 in 2022, 1 in 2023, 2 in 2025, 1 in 2026
- 588 papers, 1 in 2022, 3 in 2023, 4 in 2026
- 588 papers, 1 in 2023, 2 in 2025, 5 in 2026
- 588 papers, 2 in 2021, 2 in 2022, 1 in 2023, 1 in 2024, 2 in 2025
- 588 papers, 1 in 2022, 3 in 2023, 4 in 2026
- 1077 papers, 2 in 2021, 2 in 2022, 1 in 2023, 1 in 2024, 1 in 2026
- 1077 papers, 3 in 2022, 2 in 2023, 1 in 2025, 1 in 2026
- 1077 papers, 1 in 2023, 3 in 2024, 1 in 2025, 2 in 2026
- 1077 papers, 1 in 2022, 1 in 2024, 1 in 2025, 4 in 2026
- 1466 papers, 1 in 2021, 2 in 2022, 1 in 2025, 2 in 2026
- 1466 papers, 1 in 2023, 2 in 2024, 1 in 2025, 2 in 2026
- 1466 papers, 1 in 2022, 3 in 2023, 1 in 2024, 1 in 2026
- 1466 papers, 3 in 2022, 2 in 2023, 1 in 2026
- 1466 papers, 1 in 2021, 2 in 2022, 2 in 2025, 1 in 2026
Who writes together
Frequent collaborations
Pairs with several joint papers on singularities here, in alphabetical order.
- Pak-Yeung Chan and Zilu Ma 6 joint papers
- Pak-Yeung Chan and Yongjia Zhang 7 joint papers
- Shu-Cheng Chang and Chien Lin 5 joint papers
- Shu-Cheng Chang and Chin-Tung Wu 6 joint papers
- Charles Cifarelli and Ronan Conlon 4 joint papers
- Wangjian Jian and Jian Song 7 joint papers
- Zilu Ma and Yongjia Zhang 6 joint papers
- Ao Sun and Jinxin Xue 6 joint papers
Trace the chain between any two people with the connection finder.
A to Z
Everyone with several papers
124 people with two or more papers on singularities here. The full directory has everyone.
- Andoni Royo Abrego
- Sigurd Angenent
- Richard Bamler
- Yueheng Bao
- Alexander Bednarek
- Arunima Bhattacharya
- Theodora Bourni
- Simon Brendle
- Nathan Burns
- Reto Buzano
- Pak-Yeung Chan
- Shu-Cheng Chang
- Hongyu Chen
- Jingwen Chen
- Longteng Chen
- Otis Chodosh
- Beomjun Choi
- Kyeongsu Choi
- Bennett Chow
- Charles Cifarelli
- Tobias Colding
- Ronan Conlon
- Quang-Tuan Dang
- J. M. Daniels-Holgate
- Panagiota Daskalopoulos
- Davide De Biasio
- Yuxing Deng
- Alix Deruelle
- Wenkui Du
- Hanbing Fang
- Frederick Tsz-Ho Fong
- Naotoshi Fujihara
- David Garfinkle
- Sourav Ghosh
- Panagiotis Gianniotis
- Max Hallgren
- Yingbo Han
- Yongheng Han
- Robert Haslhofer
- Or Hershkovits
- David Hoffman
- Guangming Hu
- Yiqi Huang
- John Hughes
- Tom Ilmanen
- Jim Isenberg
- Wangjian Jian
- Vesa Julin
- Bruce Kleiner
- Dan Knopf
- Yi Lai
- Mat Langford
- Lucas Lavoyer
- Tang-Kai Lee
- Haozhao Li
- Yu Li
- Yuan Liao
- Chien Lin
- Jiawei Liu
- Jason Lotay
- M. J. Luo
- Tianci Luo
- Dieter Lust
- Stephen Lynch
- Li Ma
- Zilu Ma
- Christos Mantoulidis
- Francisco Martín
- William Minicozzi
- Keaton Naff
- Huy The Nguyen
- Matteo Novaga
- Goncalo Oliveira
- Tristan Ozuch
- Grigori Perelman
- Yi Qi
- Ziyang Qin
- Felix Schulze
- Nataša Šešum
- Li Sheng
- Henry Shin
- Jian Song
- Maxwell Stolarski
- Wei-Bo Su
- Ao Sun
- Jun Sun
- Qi Sun
- Gábor Székelyhidi
- Gang Tian
- Hung Tran
- Chung-Jun Tsai
- Artemis A. Vogiatzi
- Jeremy Wall
- Bing Wang
- Ganqi Wang
- Zhen Wang
- Zhihan Wang
- Yong Wei
- Brian White
- Markus Wolff
- Hosea Wondo
- Albert Wood
- Chin-Tung Wu
- Haotian Wu
- Kai Xu
- Tongxin Xu
- Xu Xu
- Jinxin Xue
- Junsheng Zhang
- Wenjia Zhang
- Xi Zhang
- Yongjia Zhang
- Zhenlei Zhang
- Zhou Zhang
- Kai-Wei Zhao
- Xinrui Zhao
- Ziyi Zhao
- Chao Zheng
- Kai Zheng
- Puchun Zhou
- Rong Zhou
- Jingze Zhu
- Jonathan J. Zhu
- Xiaohua Zhu
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