Ben Lowe

I'm a Dickson Instructor and NSF Postdoc at the University of Chicago.
Before that I was a graduate student at Princeton where my advisor was Fernando Coda Marques.

My office is Eckhart 408B.

Email: loweb24 {at} uchicago.edu

Research interests: Geometric Analysis, Hyperbolic Geometry, Minimal Surfaces, Scalar Curvature, Rigidity and Gap Theorems, the Besson-Courtois-Gallot Natural Maps,
Minimal Submanifolds of Locally Symmetric Spaces, using tools from dynamics to prove rigidity statements in differential geometry.

Here is a short description of some of my work

Papers:

Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms (With Amina Abdurrahman, Anshul Adve, Vikram Giri, and Jonathan Zung), pdf
Uniqueness and Non-Uniqueness for the Asymptotic Plateau Problem in Hyperbolic Space (with Zeno Huang and Andrea Seppi), pdf
Rigidity of Totally Geodesic Hypersurfaces in Negative Curvature, pdf
Foliated Plateau Problems and Asymptotic Counting of Surface Subgroups (with Sebastien Alvarez and Graham Smith), Arxiv version
Minimal Surface Entropy and Average Area Ratio (with André Neves), to appear in Journal of Differential Geometry. Arxiv version
Beyond Almost Fuchsian Space (with Zeno Huang), Arxiv version , pdf
Area, Scalar Curvature, and Hyperbolic 3-Manifolds, Arxiv version (Superseded by "Minimal Surface Entropy and Average Area Ratio." It gives simpler proofs of some of the results of that paper in a special case. Not for publication.)
Deformations of Totally Geodesic Foliations and Minimal Surfaces in Negatively Curved 3-Manifolds, Geometric and Functional Analysis volume 31, pages 895–929 (2021). Journal Version, Arxiv version

Miscellaneous
- Gabriel Aguilar Perez Comparison and Rigidity Statements in Geometry
- Annie Wei Nash Moser Iteration
- Richard Ye Bourgain’s Embedding Theorem, Johnson-Lindenstrauss Lemma, and the Sparsest Cut Problem
- Alex Hummels Topological Equivalence of Linear Ordinary Differential Equations

Ben Lowe

Papers:

Miscellaneous