Sphere theorems researchers

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

• Ben Andrews
• Christoph Böhm
• Simon Brendle
• Burkhard Wilking

• SBSimon BrendleWith Schoen proved the differentiable sphere theorem; also solved the Lawson conjecture and classified three-dimensional Ricci flow singularity models.
• 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.
• MLMan-Chun LeeBuilds Ricci flows from rough or pinched data: Hamilton's pinching conjecture, collapsing Kähler–Ricci flows and scalar curvature rigidity.
• PTPeter 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.
• YWYong WeiUses curvature flows to prove Alexandrov–Fenchel inequalities in hyperbolic space and the sphere, and proved stability for the G2 Laplacian flow.

Who has the most papers here tagged sphere theorems. 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
   Man-Chun LeeNPNP-RC-097140iDRicci flow · 3-manifolds
   44 papers, 1 in 2022, 1 in 2023, 1 in 2024, 1 in 2026
2. 2
   Huai-Dong CaoNPNP-RC-062340iD4-manifolds · Ricci solitons
   33 papers, 1 in 2022, 1 in 2024, 1 in 2025
3. 2
   Alix DeruelleNPNP-RC-916012Kähler–Ricci solitons · Kähler geometry
   33 papers, 2 in 2024, 1 in 2026
4. 2
   David González-ÁlvaroNPNP-RC-798641iDSphere theorems · Homogeneous spaces
   33 papers, 1 in 2023, 1 in 2024, 1 in 2026
5. 2
   Peter ToppingNPNP-RC-464650iDSphere theorems · Ricci flow
   33 papers, 1 in 2022, 1 in 2023, 1 in 2026
6. 2
   Junming XieNPNP-RC-479678iD4-manifolds · Sphere theorems
   33 papers, 1 in 2022, 1 in 2024, 1 in 2025
7. 2
   Masoumeh ZareiNPNP-RC-988588Sphere theorems · Homogeneous spaces
   33 papers, 1 in 2023, 1 in 2024, 1 in 2026

Pairs with several joint papers on sphere theorems here, in alphabetical order.

• Nirabhra Basu and Bidhan Mondal 2 joint papers
• Huai-Dong Cao and Junming Xie 3 joint papers
• Alix Deruelle and Felix Schulze 2 joint papers
• Alix Deruelle and Miles Simon 2 joint papers
• David González-Álvaro and Masoumeh Zarei 3 joint papers
• Tianci Luo and Yong Wei 2 joint papers
• Tianci Luo and Rong Zhou 2 joint papers
• Yong Wei and Rong Zhou 2 joint papers

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

23 people with two or more papers on sphere theorems here. The full directory has everyone.

• Nurlan Abiev
• Nirabhra Basu
• Simon Brendle
• Esther Cabezas-Rivas
• Huai-Dong Cao
• Pak-Yeung Chan
• Alix Deruelle
• David González-Álvaro
• Hong Huang
• Man-Chun Lee
• Tianci Luo
• Bidhan Mondal
• Luke T. Peachey
• Giovanni Placini
• Felix Schulze
• Miles Simon
• Peter Topping
• Jingbo Wan
• Yong Wei
• Junming Xie
• Masoumeh Zarei
• Ziyi Zhao
• Rong Zhou

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