266 citations · 784 across the 39 of their papers we have counts for
4 papers · 1 filter
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…
A short proof of Allard's and Brakke's regularity theorems
Guido De Philippis, Carlo Gasparetto, Felix Schulze
We give new short proofs of Allard's regularity theorem for varifolds with bounded first variation and Brakke's regularity theorem for integral Brakke flows with bounded forcing. T…
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.