SURF

Yuming Huang

Developing Analytic Tools for PDEs with Ideas from Geometric Flows

 

Geometric flows, such as the Ricci flow, Yang-Mills flow, and harmonic map flow, are natural ways to smooth out geometric objects (metric, connection, and maps, respectively). In this project, we will explore the idea of using geometric flows to develop new analytic tools for studying geometric objects. A possible goal of this project is to use geometric flows to solve problems in dispersive PDEs that involve geometric objects.

Message to Sponsor

I wish to thank the donor for the generous stipend. Undergraduate research in Math is rare chance, and I am truly grateful for this opportunity. I will do my best to contribute to this area.
  • Major: Math
  • Sponsor: Math Team Fund
  • Mentor: Sung-Jin Oh