Douglas Stryker

activity

20242026

collaborators

5 papers

math.DG2026

Stable 2-systole bounds in positive scalar curvature

Douglas Stryker

We prove that the stable 2-systole is uniformly bounded on the space of Riemannian metrics with scalar curvature at least one for closed spin 2-essential manifolds, which includes…

math.DG2026

A spinor proof of the classification of stable minimal surfaces in $R^{3}$

Douglas Stryker

We give a proof that every complete two-sided stable minimal surface in $R^{3}$ is flat using the index theory for Dirac operators on twisted spinor bundles.

math.DG2025

Stable minimal hypersurfaces in $R^{5}$

Otis Chodosh, Chao Li, Paul Minter +1

We show that a complete, two-sided, stable minimal hypersurface in $R^{5}$ is flat.

math.DG2025

Optimal regularity for minimizers of the prescribed mean curvature functional over isotopies

Lorenzo Sarnataro, Douglas Stryker

We prove the optimal $C^{1, 1}$ regularity for minimizers of the prescribed mean curvature functional over isotopy classes. As an application, we find an embedded sphere of prescrib…

math.DG2024

Index, Intersections, and Multiplicity of Min-Max Geodesics

Jared Marx-Kuo, Lorenzo Sarnataro, Douglas Stryker

We prove upper bounds for the Morse index and number of intersections of min-max geodesics achieving the $p$ -widths of a closed surface. A key tool in our analysis is a proof that…

Stable 2-systole bounds in positive scalar curvature

A spinor proof of the classification of stable minimal surfaces in R3

Stable minimal hypersurfaces in R5

Optimal regularity for minimizers of the prescribed mean curvature functional over isotopies

Index, Intersections, and Multiplicity of Min-Max Geodesics

A spinor proof of the classification of stable minimal surfaces in $R^{3}$

Stable minimal hypersurfaces in $R^{5}$