Doug Stryker dstryker at princeton dot edu

Research

• Index, intersections, and multiplicity of min-max geodesics - with Jared Marx-Kuo and Lorenzo Sarnataro - arXiv (2024)

• Min-max construction of prescribed mean curvature hypersurfaces in noncompact manifolds - arXiv (2024)

• Stable minimal hypersurfaces in R^5 - with Otis Chodosh, Chao Li, and Paul Minter - arXiv (2024)

• Localization of min-max minimal hypersurfaces - arXiv (2023)

• Existence of closed embedded curves of constant curvature via min-max - with Lorenzo Sarnataro - arXiv (2023)

• Optimal regularity for minimizers of the prescribed mean curvature functional over isotopies - with Lorenzo Sarnataro - arXiv (2023)

• Volume growth of 3-manifolds with scalar curvature lower bounds - with Otis Chodosh and Chao Li - arXiv (2022) - Proc. Amer. Math. Soc. (2023)

• Complete stable minimal hypersurfaces in positively curved 4-manifolds - with Otis Chodosh and Chao Li - arXiv (2022) - J. Eur. Math. Soc. (2024)

Talks

• Stanford University Geometry Seminar - November 2024 - Abstract

• BICMR Geometric Analysis Seminar (online) - October 2024 - Abstract

• Cornell University Analysis Seminar - September 2024 - Abstract

• Rutgers University Geometric Analysis Seminar - September 2024 - Abstract

• CHANGE Conference, ETH Zürich - June 2024 - Abstract

• University of Chicago Geometric Analysis Seminar - March 2024 - Abstract

• CUNY Geometric Analysis Seminar - March 2024 - Abstract

• NYU Courant Geometric Analysis and Topology Seminar - February 2024 - Abstract

• Rutgers-Newark Department of Mathematics and Computer Science Colloquium - February 2024 - Abstract

• Joint Mathematics Meeting Contributed Paper Session - January 2024 - Abstract

• University of Toronto Geometry and Topology Seminar - September 2023 - Abstract

• Johns Hopkins University Analysis and PDE Seminar - January 2023 - Abstract

• Columbia University Geometry and Analysis Seminar - November 2022 - Abstract

• Rutgers University Geometric Analysis Seminar - November 2022 - Abstract

• Chinese University of Hong Kong Geometric Analysis Seminar (online) - October 2022 - Abstract

Undergraduate Research

• Twisted traces and positive forms on quantized Kleinian singularities of type A - with Pavel Etingof, Daniil Klyuev, and Eric Rains - arXiv (2020) - SIGMA (2021)

• Short star-products for filtered quantizations, I - with Pavel Etingof - arXiv (2019) - SIGMA (2020)

• Codimension bounds and rigidity of ancient mean curvature flows by the tangent flow at minus infinity - with Ao Sun - arXiv (2019) - Commun. Contemp. Math. (2022)

• Construction of high codimension ancient mean curvature flows - with Ao Sun - arXiv (2019)