I work in low-dimensional topology. My main research is in applying knot Floer theory to studying knots and immersed surfaces in four manifolds. I am interested in applying versions of knot Floer homology to create bounds on unknotting numbers and 4-genus. In particular, I am interested in trading genus for double points in a slice surface, and understanding the restrictions to doing this.

I am also interested in contact topology, knot concordance, and knot Floer theory.

Papers:

My Master's thesis - Smooth Structures on Spheres.

My undergraduate research project - Symmetry Methods in Differential Equations.