3 papers
math.AP2025
Mean curvature flow near a peanut solution
Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum
It was shown by Angenent, Altschuler and Giga, and by Angenent and Velazquez that there exist closed mean curvature flow solutions that extinct to a point in finite time, without e…
math.DG2025
Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions
Sigurd B. Angenent, Dan Knopf
Regarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and…
math.DG2024
Which shapes can appear in a Curve Shortening Flow Singularity?
Sigurd Angenent, Evan Patrick Davis, Ellie DeCleene +7
We study possible tangles that can occur in singularities of solutions to plane Curve Shortening Flow. We exhibit solutions in which more complicated tangles with more than one sel…