Skip to primary navigation Skip to main content I am a tenure-track assistant professor at UC Irvine, math department. I am interested in geometric analysis and partial differential equations, especially Ricci flow. 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 . This is my CV . My email is ylai25 at uci dot edu. My office is Rowland Hall 510D. I am an organizer of the UCI differential geometry seminar . I am currently supported by NSF grants DMS-2506832, DMS-2543311 (CAREER), and a Simons travel award. “Classification of ancient cylindrical mean curvature flows and the Mean Convex Neighborhood Conjecture”, with R. Bamler , arXiv:2512.24524 , submitted. “The PDE-ODI principle and cylindrical mean curvature flows”, with R. Bamler , arXiv:2512.25050 , submitted. “High-dimensional flying wing steady Ricci solitons”, with P.-Y. Chan and M.-C. Lee , arXiv:2510.23005 , submitted . “Convergence of Ricci flow and long-time existence of Harmonic map heat flow”, with K. Choi , arXiv:2504.02804 , accepted by Cambridge J. Math. “3-Manifolds with positive scalar curvature and bounded geometry”, with O. Chodosh and K. Xu , arXiv:2502.09727 , Comm. Pure Appl. Math. 79(5) (2026), 1299-1314 ( article ) “A family of Kähler flying wing steady Ricci solitons”, with P.-Y. Chan and R. Conlon , arXiv:2403.04089 , accepted by J. Differential Geom. “3D flying wings for any asymptotic cones”, Surv. Differ. Geom. Vol. 27, No. 1 (2022), 235-248 ( article )

“3D flying wings for any asymptotic cones”, arXiv:2207.02714 , J. Differential Geom. 130(3) (2025), 677-695 ( article ) “O(2)-symmetry of 3D steady gradient Ricci solitons”, arXiv:2205.01146 , Geom. Topol. 29-2 (2025), 687-789 ( article ) “A family of 3d steady gradient solitons that are flying wings”, arXiv:2010.07272 , J. Differential Geom. 126(1) (2024), 297-328 ( article ) “Producing 3d Ricci flows with non-negative Ricci curvature via singular Ricci flows”, arxiv:2004.05291 , Geom. Topol. 25-7 (2021), 3629-3690 ( article ) “Ricci flow under local almost non-negative curvature conditions”, arXiv:1804.08073v3 , Adv. Math. 343(2019), 353-392 ( article ) Oberwolfach Report ( mfo , July 2025) Convergence of Ricci flow and long-time existence of Harmonic map heat flow (Princeton, April 2025) 3-Manifolds with positive scalar curvature and bounded geometry (UC Berkeley, April 2025) Riemannian and Kähler flying wing steady Ricci solitons (SLmath Berkeley, Sep 2024) Oberwolfach Report ( mfo , 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)