I am particularly interested in Curve Shortening Flow in higher codimensions. I have been working on understanding curve shortening flow with convex projections.
I am particularly interested in Curve Shortening Flow in higher codimensions. I have been working on understanding curve shortening flow with convex projections.
Curve Shortening Flow of Space Curves with Convex Projections (arxiv:2410.08399)
Huisken's Distance Comparison Principle in Higher Codimension (arxiv:2509.16823)
Singularities of Curve Shortening Flow with Convex Projections (arxiv:2510.14863)
A simulation of a curve shortening flow with a one-to-one convex projection. The blue curves are space CSF and the red curves are projection curves on the horizontal plane.
Singularities of Curve Shortening Flow with Convex Projections
Yale Geometric Analysis Seminar, Yale University, March 23, 2026
Analysis and Geometric Analysis Seminar, Cornell University, March 16, 2026
Lehigh Geometry seminar, Lehigh University, Feb 9, 2026
Geometric Analysis seminar, University of Tennessee, Knoxville, Jan 28, 2026
Geometric Analysis seminar, Columbia University, Jan 23, 2026
Geometry and Topology seminar, Duke University, Nov 17, 2025
Informal Geometric Analysis seminar, Northwestern University, Nov 6, 2025
Curve Shortening Flow of Space Curves with Convex Projections
AMS Special Session on Frontiers in Nonlinear PDEs and Applied Mathematical Challenges I, University of Kansas, March 29, 2025
PDE Geometric Analysis seminar, UW Madison, Jan 27, 2025
Mitake-Tran PDE reading seminar, Online, Nov 20, 2024