4 papers
Backwards uniqueness for Mean curvature flow with asymptotically conical singularities
J. M. Daniels-Holgate, Or Hershkovits
In this paper we demonstrate that if two mean curvature flows of compact hypersurfaces and encounter only isolated, multiplicity one, asymptotically conical singula…
Non-uniqueness in Mean Curvature Flow: Non-canonical solutions via the parabolic Allen--Cahn
J. M. Daniels-Holgate
When mean curvature flow evolves non-uniquely, the flow is said to fatten. The work of Ilmanen shows that any weak MCF is supported inside the fattening, and work of Hershkovits--W…
How close is too close for singular mean curvature flows?
Joshua Daniels-Holgate, Or Hershkovits
Suppose , , are two mean curvature flows in encountering a multiplicity one compact singularity at time , in such a manner that f…
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…