4 papers
Revisiting generic mean curvature flow in
Otis Chodosh, Kyeongsu Choi, Christos Mantoulidis +1
Bamler--Kleiner recently proved a multiplicity-one theorem for mean curvature flow in R^3 and combined it with the authors' work on generic mean curvature flows to fully resolve Hu…
Generic regularity for minimizing hypersurfaces in dimension 11
Otis Chodosh, Christos Mantoulidis, Felix Schulze +1
We prove that area-minimizing hypersurfaces are generically smooth in ambient dimension in the context of the Plateau problem and of area minimization in integral homology. Fo…
Mean curvature flow with generic low-entropy initial data II
Otis Chodosh, Christos Mantoulidis, Felix Schulze
We prove that the mean curvature flow of a generic closed embedded hypersurface in or with entropy , or with entropy i…
Mean Curvature Flow from Conical Singularities
Otis Chodosh, J. M. Daniels-Holgate, Felix Schulze
We prove Ilmanen's resolution of point singularities conjecture by establishing short-time smoothness of the level set flow of a smooth hypersurface with isolated conical singulari…