J. Daniels-Holgate

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20242026

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math.DG2026

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 $M_{t}^{1}$ and $M_{t}^{2}$ encounter only isolated, multiplicity one, asymptotically conical singula…

math.DG2025

How close is too close for singular mean curvature flows?

Joshua Daniels-Holgate, Or Hershkovits

Suppose $(M_{t}^{i})_{t \in [0, T)}$ , $i = 1, 2$ , are two mean curvature flows in $R^{n + 1}$ encountering a multiplicity one compact singularity at time $T$ , in such a manner that f…

math.DG2024

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…