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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, 2025.
Stretch laminations and hyperbolic Dehn surgery, arXiv preprint, submitted, 2023.
Publications:
Computing a link diagram from its exterior, with Nathan Dunfield and Malik Obeidin, Discrete & Computational Geometry, 71: 121–159, 2024. Extended abstract 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.
In preparation:
Almost cycles, torsion, and Heegaard genus -- draft coming here soon.
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