Currently I am studying monopole Floer homology, contact geometry, and exotic R4's

My research interests are broad, and include topology, geometry, and analysis. In particular, 

My statistics research is about random graphs and theoretical statistics. In particular, we've addressed the theoretical statistics problem "given several random graph models for our network, how should we choose one in a principled way?" We derive a new method, present theoretical background, and perform a simulation study; simulations demonstrate good performance for reasonably sized graphs.