Authors · who works on what
Ancient solutions researchers
Flows that exist for all negative time — blow-up limits of singularities. On this site, 122 people have written on ancient solutions, across 105 papers collected from arXiv. New to it? Read the ancient solutions guide first.
A way in
Specialists
People whose work on ancient solutions 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.
- 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.
- Nataša ŠešumClassified compact ancient solutions of Ricci flow and curve shortening with Daskalopoulos, Hamilton, Angenent and Brendle; shared the 2023 Satter Prize.
- 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 ancient solutions. 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.
- 199 papers, 1 in 2023, 4 in 2024, 2 in 2025, 2 in 2026
- 199 papers, 2 in 2021, 2 in 2022, 2 in 2023, 1 in 2024, 2 in 2026
- 388 papers, 1 in 2021, 3 in 2022, 1 in 2025, 3 in 2026
- 477 papers, 1 in 2021, 2 in 2022, 2 in 2023, 1 in 2024, 1 in 2026
- 566 papers, 1 in 2022, 2 in 2023, 1 in 2025, 2 in 2026
- 655 papers, 1 in 2021, 1 in 2022, 2 in 2025, 1 in 2026
- 655 papers, 1 in 2022, 1 in 2024, 3 in 2025
- 655 papers, 1 in 2021, 1 in 2022, 2 in 2023, 1 in 2024
- 944 papers, 2 in 2021, 2 in 2025
- 944 papers, 1 in 2022, 1 in 2023, 1 in 2025, 1 in 2026
- 944 papers, 3 in 2024, 1 in 2026
- 944 papers, 2 in 2021, 2 in 2026
- 944 papers, 2 in 2024, 2 in 2026
- 944 papers, 1 in 2021, 1 in 2022, 2 in 2025
Who writes together
Frequent collaborations
Pairs with several joint papers on ancient solutions here, in alphabetical order.
- Theodora Bourni and Mat Langford 3 joint papers
- Beomjun Choi and Wenkui Du 3 joint papers
- Kyeongsu Choi and Robert Haslhofer 3 joint papers
- Panagiota Daskalopoulos and Nataša Šešum 4 joint papers
- Wenkui Du and Robert Haslhofer 3 joint papers
- Debora Impera and Michele Rimoldi 2 joint papers
- Debora Impera and Francesco Ruatta 2 joint papers
- Wei-Bo Su and Kai-Wei Zhao 3 joint papers
Trace the chain between any two people with the connection finder.
A to Z
Everyone with several papers
43 people with two or more papers on ancient solutions here. The full directory has everyone.
- Sigurd Angenent
- Richard Bamler
- Theodora Bourni
- Simon Brendle
- Huai-Dong Cao
- Xiangzhi Cao
- Pak-Yeung Chan
- Beomjun Choi
- Kyeongsu Choi
- Panagiota Daskalopoulos
- Yuxing Deng
- Wenkui Du
- Robert Haslhofer
- Aprameya Girish Hebbar
- Debora Impera
- Anusha M. Krishnan
- Yi Lai
- Mat Langford
- Taehun Lee
- Isaac M. Lopez
- Stephen Lynch
- Zilu Ma
- Alexander Mramor
- Tristan Ozuch
- Junyoung Park
- Francesco Pediconi
- Hongbing Qiu
- Michele Rimoldi
- Francesco Ruatta
- Sammy Sbiti
- Felix Schulze
- Dong-Hwi Seo
- Nataša Šešum
- Wei-Bo Su
- Keti Tenenblat
- Raphael Tsiamis
- Ganqi Wang
- Junming Xie
- Yongjia Zhang
- Kai-Wei Zhao
- Ziyi Zhao
- Jingze Zhu
- Xiaohua Zhu
If you follow the research
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