I have a broad range of theoretical interests covering many disciplines, using an even balance of analytical and numerical methods, and often work closely with experimentalists. Subjects I have worked on include entangled quantum dynamics, quantum phase transitions, and ultracold quantum gases; artificial lattice systems, from optical lattices to graphene to millimeter waves; solitons, vortices, chaos, fractals, and other nonlinear phenomena in nonlinear Schrodinger and nonlinear Dirac equations as realized in Bose-Einstein condensates, spin waves in ferromagnetic films, and optics; the quark-gluon plasma at CERN and RHIC; and a variety of topics in mathematical physics and the physics of complex systems. I am honored to mentor an intense, active, diverse research group averaging 15 persons and including undergraduates, MS and PhD graduate students, and post-docs.