Undergraduate Research & Scholarships

Alexander Richardson L&S Sciences

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 research 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

Thank you for your incredible generosity! The SURF Math Team greatly appreciates your donation and your sacrifice. Your support helps the team members dedicate their focus to this fascinating problem, which would not be possible without your support.