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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.
I will be on the tenure track job market in the fall of 2025.
CV
Email: loweb24 {at} uchicago.edu
Office: Eckhart 408B.
Research interests:
Differential Geometry, Minimal Surfaces, Hyperbolic Geometry, Dynamical Systems, Scalar Curvature, k-Surfaces, Locally Symmetric Spaces.
Much of my work is focused on rigidity phenomena, in a variety of different geometric situations.
Here are some surveys/notes that might be helpful if you want to learn more.
Papers:
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Asymptotically Geodesic Surfaces (with Fernando Al Assal ),
pdf
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Existence of Minimal Surfaces in Infinite Volume Hyperbolic 3-manifolds (with Baris Coskunuzer Zeno Huang, and Franco Vargas Pallete), Arxiv version.
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Rigidity of the hyperbolic marked energy spectrum and entropy for k-surfaces (with Sebastien Alvarez and Graham Smith), Arxiv version.
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Minimal Submanifolds and Waists of Locally Symmetric Spaces (with Mikolaj Fraczyk ),
pdf
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Finiteness of Totally Geodesic Hypersurfaces (with Simion Filip and
David Fisher ),
pdf
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Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
(With Amina Abdurrahman, Anshul Adve, Vikram Giri, and Jonathan Zung),
pdf
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Uniqueness and Non-Uniqueness for the Asymptotic Plateau Problem in Hyperbolic Space (with
Zeno Huang and
Andrea Seppi),
pdf
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Rigidity of Totally Geodesic Hypersurfaces in Negative Curvature, to appear in Commentarii Mathematici Helvetici.
pdf
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Foliated Plateau Problems and Asymptotic Counting of Surface Subgroups (with Sebastien Alvarez and Graham Smith),
to appear in Annales scientifiques de l'École normale supérieure. Arxiv version
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Minimal Surface Entropy and Average Area Ratio (with André Neves), to appear in Journal of Differential Geometry.
pdf
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Beyond Almost Fuchsian Space (with Zeno Huang), American Journal of Mathematics, Volume 147, Number 2, April 2025,
pp. 329-353.
Arxiv version , pdf
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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.)
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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, pdf
Miscellaneous
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