Michigan State University

Department of Mathematics

I am interested in low-dimensional topology. More specifically, I use tools from symplectic topology and gauge theory to study 3 and 4 dimensional manifolds. Most recently, I have been working on using involutive Heegaard Floer homology and lattice cohomology to obstruct certain 3-manifolds from being obtained by zero surgery on a knot in the three sphere. I have also been exploring connections between lattice cohomology, Heegaard Floer homology, and the $$\widehat{Z}$$ invariant.