J. Daniels-Holgate

activity

20212026

most citedApproximation of mean curvature flow with generic singularities by smooth flows with surgery

9 citations · 9 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.AP2025

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…

math.DG2025

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…