I am an assistant professor at UC Irvine, math department. I graduated from UC Berkeley in 2021 advised by Richard Bamler. I was a Szego assistant professor at Stanford 2021-2024 mentored by Otis Chodosh.
My research interest is in geometric analysis, especially Ricci flows. This is my CV.
Contact Details
- Office: Rowland Hall 510D.
- E-mail: ylai25 at uci dot edu.
Research
- “3-Manifolds with positive scalar curvature and bounded geometry”, with O. Chodosh and K. Xu, arXiv:2502.09727.
- “A family of Kähler flying wing steady Ricci solitons”, with P.-Y. Chan and R. Conlon, arXiv:2403.04089, submitted.
- “3D flying wings for any asymptotic cones”, Surveys in Differential Geometry, Vol. 27, No. 1 (2022), pp. 235-248 (article).
- “3D flying wings for any asymptotic cones”,
arXiv:2207.02714, to appear in J. Differential Geom. - “O(2)-symmetry of 3D steady gradient Ricci solitons”,
arXiv:2205.01146, to appear in Geometry & Topology. - “A family of 3d steady gradient solitons that are flying wings”,
arXiv:2010.07272, J. Differential Geom. 126(1): 297-328 (1 January 2024) (article). - “Producing 3d Ricci flows with non-negative Ricci curvature via singular Ricci flows”,
arxiv:2004.05291, Geometry & Topology 25-7 (2021), 3629–3690 (article). - “Ricci flow under local almost non-negative curvature conditions”,
arXiv:1804.08073v3, Advances in Mathematics 343(2019),353-392 (article).
Teaching
- Math 121A, linear algebra, winter 2024
Talk Slides
- Riemannian and Kähler flying wing steady Ricci solitons (SLmath Berkeley, Sep 2024)
- Oberwolfach Report, O(2)-symmetry of 3D steady gradient Ricci solitons (Germany, July 2023)
- O(2)-symmetry of 3D steady gradient Ricci solitons (May 2022)
- A family of 3d steady gradient solitons that are flying wings (Oct 2021)
- Producing 3d Ricci flows with non-negative Ricci curvature via singular Ricci flows (PKU, June 2020)