7 papers · 1 filter
Free boundary flow through cylindrical singularities
Yueheng Bao, Robert Haslhofer
We consider mean curvature flow with free boundary through cylindrical or half-cylindrical singularities, namely singularities of the types , $\mathbb{R…
Mean curvature flow through singularities
Robert Haslhofer
We first give a general introduction to the mean curvature flow, and then discuss fundamental results established over the last 10 years that yield a precise theory for the flow th…
The linearized translator equation and applications
Kyeongsu Choi, Robert Haslhofer, Or Hershkovits
In this paper, we consider the linearized translator equation , around entire convex translators , i.e. in the first dimension whe…
Revisiting ancient noncollapsed flows in
Kyeongsu Choi, Robert Haslhofer
In this short paper, we give a new proof of the classification theorem for noncompact ancient noncollapsed flows in originally due to Brendle-Choi (Inventiones 2019)…
Classification of ancient noncollapsed flows in
Kyeongsu Choi, Robert Haslhofer
In this paper, we classify all noncollapsed singularities of the mean curvature flow in . Specifically, we prove that any ancient noncollapsed solution either is one…
Lectures on mean curvature flow of surfaces
Robert Haslhofer
Mean curvature flow is the most natural evolution equation in extrinsic geometry, and shares many features with Hamilton's Ricci flow from intrinsic geometry. In this lecture serie…