research

My interests generally lie in geometric topology and hyperbolic geometry. You can find my research statement here, but the gist of it is that 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 computational topology.


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, arXiv preprint, December 2021.

Stable Isoperimetric Ratios and the Hodge Laplacian of Hyperbolic Manifolds, arXiv preprint, January 2021.