70 citations · 514 across the 53 of their papers we have counts for
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Minimal surfaces and comparison geometry
Otis Chodosh
We discuss applications of minimal surfaces to comparison geometry.
Generic regularity for minimizing hypersurfaces in dimension 11
Otis Chodosh, Christos Mantoulidis, Felix Schulze +1
We prove that area-minimizing hypersurfaces are generically smooth in ambient dimension in the context of the Plateau problem and of area minimization in integral homology. Fo…
Weiss monotonicity and capillary hypersurfaces
Otis Chodosh, Nick Edelen, Chao Li
Previous work of the authors established the rigorous limiting behavior of minimizing capillary surfaces to minimizers of the Alt--Caffarelli functional as the capillary angle tend…
The p-widths of a polygon
Otis Chodosh, Sithipont Cholsaipant
The -widths are a nonlinear analogue of the spectrum of the Laplacian. We prove that each -width of a polygon in is achieved by a union of billiard trajectorie…
3-Manifolds with positive scalar curvature and bounded geometry
Otis Chodosh, Yi Lai, Kai Xu
We show that a complete contractible 3-manifold with positive scalar curvature and bounded geometry must be . We also show that an open handlebody of genus larger than…