Research

Research

My research interests focus on understanding special metrics and their moduli spaces on manifolds, motivated by physics and topology. I am also interested in applying modern machine learning to mathematics (AI4Math).

The modern viewpoint of geometry is not “static” anymore. Instead, we can let the metrics on a manifold vary. See this . This page allows you to manually modify a “metric” on the sphere. After that, you can apply Ricci flow on the sphere to “smooth out” the metric and restore a round sphere.

For experts, this is the detailed overview of my research.

If you don’t mind the details and want to see some cool stuff, this is an intuitive, high-level introduction.

If you are interested in AI4Math, please take a look at my work in AI4Math.