4 papers
math.DG2026
Lectures on Mean Curvature Flow and Related Equations
Tom Ilmanen
The aim in these lectures is to study singularity formation, nonuniqueness, and topological change in motion by mean curvature.
math.DG2026
Singularities of Mean Curvature Flow of Surfaces
Tom Ilmanen
This paper proves that, at the first singular time for a smoothly immersed surface moving by mean curvature flow in a n-manifold, each tangent flow is given by a smooth, branched s…
math.DG2025
Graphical Translators for Mean Curvature Flow
David Hoffman, Tom Ilmanen, Francisco Martin +1
In this paper we provide a full classification of complete translating graphs in . We also construct two -parameter families of new examples of translating gra…
math.DG2025
Fattening in mean curvature flow
Tom Ilmanen, Brian White
For each , we prove existence of a compact, connected, smoothly embedded, genus- surface with the following property: under mean curvature flow, there is exactly o…