I received a Bachelor of Science degree from the University of Michigan and the Ph.D. degree from Yale University. In addition to having been a faculty member at the University for 25 years, I have held research and visiting positions at Penn State University, UCLA, Princeton University, the University of Geneva, and the Eigenössiche Technische Hochschule, Zurich.
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.
Some recent articles include:
(with Luc Rey-Bellet) Exponential convergence to non-equilibrium stationary states in classical statistical mechanics. Commun. Math. Phys. 225 (2002) 305-329. reprint.
(with Luc Rey-Bellet) Fluctuations of the entropy production in anharmonic chains. Ann. Henri Poincare 3 (2002), 483-502. reprint.
(with Almut Burchard) On the Cauchy problem for a dynamical Euler's elastica, Commun Partial Diff. Equations 28 (1 & 2) (2003) 271-300. reprint.
(with Luc Rey-Bellet) Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics, Stochastic Processes and their Applications 115 1041-1059 (2005) reprint
(with Almut Burchard) On an isoperimetric inequality for a Schrödinger operator depending on the curvature of a loop, J. Geometric Analysis 15, 543-563 (2005). reprint.
(with Y. Wang) On a linear stochastic wave equation modeling heat flow, Contemporary Mathematics 447, Adventures in Mathematical Physics, ed. F. Germinet and P.D. Hislop, p. 237-248, (2007). reprint.
(with R.L. Frank, E.H. Lieb, R. Seiringer) Bi-polaron and N-polaron binding energies (2010). arXiv:1004.1196