Research

I am currently exploring Geometric flows. Some of my current interests include

• four dimensional Ricci solitons
• four dimensional ancient solutions to the Ricci flow
• singularity formation in mean curvature flows
• long time behavior of curve shortening flow

Preprints

1. Immortal Curve Shortening Flow on Analytic Surfaces
   (with Guanhua Shao and Qi Sun), arXiv preprint, arXiv:2609.10197 (submitted).

2. κ-solutions with the round cylinder as an asymptotic shrinker arXiv preprint, arXiv:2605.14905 (submitted).

3. “Asymptotic Geometry of Four-Dimensional Steady Solitons” (with Natasa Sesum) arXiv preprint, arXiv:2603.21397 (submitted).