Research

My research focuses on links, spatial graphs, and surfaces in 4-manifolds. In particular, my work focuses on obtaining information about surfaces bounded by links by means of the Heegaard Floer homology package and related invariants.

Papers and preprints

A ribbon partial order for links and minimality detection via Heegaard Floer

(arXiv:2606.20802, Submitted)

We prove that strong ribbon concordance induces a partial order on links in the 3-sphere, extending a result of Agol. We also leverage technical results from Heegaard Floer homology to prove that a handful of knots and several infinite families of links are minimal with respect to this partial order.