My work is in the area of harmonic analysis and its applications to partial differential equations and signal analysis. I am interested in the study of linear and multilinear singular integrals, linear and multilinear pseudodifferential operators, function spaces, discrete decompositions, the well-posedness of nonlinear dispersive equations, and some connections between time-frequency analysis and probability theory. Classical (Euclidean) geometry and other topics from ``elementary mathematics'' still capture my attention from time to time.