Most of my work is in quantum mechanics and covers a range of subjects from non-relativistic quantum electrodynamics to the Laplacian on non-compact manifolds. Outside this mold a recent paper concerns the Navier-Stokes equations. My objective has been to choose problems with some relation to physics, but with the overriding factor to make sure that the mathematical content is interesting and challenging.

My research interests in mathematical physics include quantum mechanics (Schrödinger operators, semi-classical and high-energy limit problems) and statistical physics (classical and quantum lattice spin systems). Most recently I have been working in non-equilibrium statistical mechanics.

- Bachelor of Science (BS), University of Michigan, Ann Arbor
- Master of Science (MS), Yale University
- Doctor of Philosophy (PhD), Yale University

My research interests include the following list of topics: Constructive quantum field theory; rigorous renormalization group methods; mathematical statistical mechanics; combinatorics related to Feynman diagrams and cluster expansions; classical invariant theory, and applications of the classical symbolic method to problems in algebraic geometry and representation theory.