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.