My research lies primarily in the field of geometric topology with a particular focus on low-dimensional topology and the study of embedded and immersed submanifolds and their applications.
Recent projects have been targeted at finding useful surfaces which yield constructions of "interesting structures" on 4 dimensional manifolds, with the two main foci being exotic smooth structures and symplectic structures.
I am also very interested in algebraic and combinatorial geometry and their countless connections to the construction of non-smooth manifolds and fibration structures with prescribed singularities.