research

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:

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; Special issue of invited papers from the 38th Symposium on Computational Geometry. Extended abstract appeared in the proceedings of SoCG.

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