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My interests lie in and around geometric topology and hyperbolic geometry. I particularly like hyperbolic 3-manifolds and am interested in quantitative refinements of the correspondence between their topology and geometry. I am also interested in various aspects of computational topology and geometric group theory.
"applied topology"
Preprints:
Stable systoles and regulator growth, preprint.
Boundary expansion, systolic growth, and torsion growth preprint.
A short note on harmonic fibrations, note.
Stretch laminations and hyperbolic Dehn surgery, preprint.
Publications:
Computing a link diagram from its exterior, with Nathan Dunfield and Malik Obeidin, Discrete & Computational Geometry, 71: 121–159, 2024.
An extended abstract for this paper also appeared in the proceedings of the Symposium on Computational Geometry (SoCG).
Stable isoperimetric ratios and the Hodge Laplacian of hyperbolic manifolds, Journal of Topology, 16: 588-633, 2023.
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