7 papers
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…
Lectures on curve shortening flow
Robert Haslhofer
The curve shortening flow is a geometric heat equation for curves and provides an accessible setting to illustrate many important concepts from nonlinear partial differential equat…
A gradient estimate for the linearized translator equation
Kyeongsu Choi, Robert Haslhofer, Or Hershkovits
In this paper, we develop some analytic foundations for the linearized translator equation in , i.e. in the first dimension where the Bernstein property fails. This e…
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)…