Otis Chodosh

activity

20112026

most citedMinimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates

70 citations · 514 across the 53 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.DG2020★ 24 cited

Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Otis Chodosh, Chao Li

We prove that for $n \in {4, 5}$ , a closed aspherical $n$ -manifold does not admit a Riemannian metric with positive scalar curvature. Additionally, we show that for $n \leq 7$ , the…

math.DG2020★ 3 cited

Singular behavior and generic regularity of min-max minimal hypersurfaces

Otis Chodosh, Yevgeny Liokumovich, Luca Spolaor

We show that for a generic $8$ -dimensional Riemannian manifold with positive Ricci curvature, there exists a smooth minimal hypersurface. Without the curvature condition, we show t…

math.DG2020★ 7 cited

Mean curvature flow with generic initial data

Otis Chodosh, Kyeongsu Choi, Christos Mantoulidis +1

We show that the mean curvature flow of generic closed surfaces in $R^{3}$ avoids asymptotically conical and non-spherical compact singularities. We also show that the mea…