Research

My research focuses on links, spatial graphs, and surfaces in 4-manifolds. I am particularly interested in converting statements about the complexity of a slice surface into algebraic constraints using invariants from the Heegaard Floer homology package.

Papers and preprints

A ribbon partial order for links and minimality detection via Heegaard Floer (arXiv:2606.20802, Submitted)

We prove that 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.

Talks