research

My interests generally lie in geometric topology and hyperbolic geometry. I like surfaces in hyperbolic 3-manifolds and am trying to understand their geometry and how things like stable commutator length relate to various mysterious facets of hyperbolic 3-manifold topology (homological torsion, taut foliations...). I am also interested in practical and theoretical aspects of computational topology.  Feel free to hit me up over email me about any of these things.


You can find links to arXiv preprints of recent work below.


"research"

Preprints:

Computing a link diagram from its exterior, with Nathan Dunfield and Malik Obeidin, to appear in Discrete & Computational Geometry special issue for SoCG 2022.

Stable isoperimetric ratios and the Hodge Laplacian of hyperbolic manifolds, Journal of Topology, 16: 588-633, 2023.