4-manifolds researchers

People whose work on 4-manifolds is a good place to start, in alphabetical order. No one left off is slighted: it is a way in, not a ranking.

• Ovidiu Munteanu

• HCHuai-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.
• PCPak-Yeung ChanStudies Ricci solitons and the singularities they model: volume growth, curvature decay, unique tangent flows and Kähler flying wings.
• YLYu LiClassified Kähler Ricci shrinker surfaces with Bing Wang and, with Hanbing Fang, built a Gromov–Hausdorff structure theory for Ricci flow limits.
• NŠNataša ŠešumClassified compact ancient solutions of Ricci flow and curve shortening with Daskalopoulos, Hamilton, Angenent and Brendle; shared the 2023 Satter Prize.
• JSJeffrey StreetsIntroduced pluriclosed flow with Gang Tian and developed generalized Ricci flow, carrying Hamilton's and Perelman's methods into non-Kähler geometry.
• YZYongjia ZhangEstablished Perelman's link between bounded entropy and noncollapsing for ancient Ricci flows, and studies their limits as metric solitons.

Who has the most papers here tagged 4-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.

1. 1
   Huai-Dong CaoNPNP-RC-062340iD4-manifolds · Ricci solitons
   66 papers, 1 in 2021, 1 in 2022, 1 in 2024, 2 in 2025, 1 in 2026
2. 2
   Hung TranNPNP-RC-932231iD4-manifolds · Kähler geometry
   55 papers, 1 in 2022, 1 in 2023, 2 in 2024, 1 in 2026
3. 2
   Junming XieNPNP-RC-479678iD4-manifolds · Sphere theorems
   55 papers, 1 in 2022, 1 in 2024, 1 in 2025, 2 in 2026
4. 4
   Ernani RibeiroNPNP-RC-662900iD4-manifolds · Kähler–Ricci solitons
   44 papers, 2 in 2022, 1 in 2025, 1 in 2026
5. 5
   Xiaodong CaoNPNP-RC-0584904-manifolds · Scalar curvature
   33 papers, 1 in 2022, 1 in 2024, 1 in 2025
6. 5
   Zilu MaNPNP-RC-648634iDRicci solitons · Singularities
   33 papers, 2 in 2023, 1 in 2025
7. 5
   Nataša ŠešumNPNP-RC-751514Ancient solutions · 4-manifolds
   33 papers, 1 in 2023, 1 in 2025, 1 in 2026
8. 5
   Miles SimonNPNP-RC-015846iDScalar curvature · Weak & singular flows
   33 papers, 1 in 2021, 2 in 2024

Pairs with several joint papers on 4-manifolds here, in alphabetical order.

• Huai-Dong Cao and Junming Xie 4 joint papers
• Xiaodong Cao and Ernani Ribeiro 2 joint papers
• Xiaodong Cao and Hung Tran 2 joint papers
• Jiawei Liu and Miles Simon 2 joint papers
• Zilu Ma and Nataša Šešum 2 joint papers
• Ernani Ribeiro and Hung Tran 2 joint papers
• Chen Wang and Guoqiang Wu 2 joint papers

Trace the chain between any two people with the connection finder.

25 people with two or more papers on 4-manifolds here. The full directory has everyone.

• Youssef Ayad
• Huai-Dong Cao
• Xiaodong Cao
• Pak-Yeung Chan
• João Paulo dos Santos
• Hanbing Fang
• Steven Gindi
• Matheus Andrade Ribeiro de Moura Horácio
• Yu Li
• Jiawei Liu
• Zilu Ma
• Tristan Ozuch
• Ernani Ribeiro
• Nataša Šešum
• Henry Shin
• James Siene
• Miles Simon
• Jeffrey Streets
• Hung Tran
• Chen Wang
• Guoqiang Wu
• Junming Xie
• Yongjia Zhang
• Bo Zhu
• Xiaohua Zhu

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