70 citations · 514 across the 53 of their papers we have counts for
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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…
Mean curvature flow with generic low-entropy initial data II
Otis Chodosh, Christos Mantoulidis, Felix Schulze
We prove that the mean curvature flow of a generic closed embedded hypersurface in or with entropy , or with entropy if…
Improved generic regularity of codimension-1 minimizing integral currents
Otis Chodosh, Christos Mantoulidis, Felix Schulze
Let be a smooth, closed, oriented, -dimensional submanifold of . We show that there exist arbitrarily small perturbations of with the property…
On the Minkowski inequality near the sphere
Otis Chodosh, Michael Eichmair, Thomas Koerber
We construct a sequence of closed, axially symmetric surfaces that converges to the unit sphere in for e…
Mean curvature flow with generic initial data II
Otis Chodosh, Kyeongsu Choi, Felix Schulze
We show that the mean curvature flow of a generic closed surface in avoids multiplicity one tangent flows that are not round spheres/cylinders. In particular, we sho…
Generic regularity for minimizing hypersurfaces in dimensions 9 and 10
Otis Chodosh, Christos Mantoulidis, Felix Schulze
We prove that singularities of area minimizing hypersurfaces can be perturbed away in ambient dimensions 9 and 10.