Complex many-body systems can display qualitatively new physics. The search for such emergent phenomena is a central goal of condensed matter physics. My research is focused on the search for new emergent phenomena in quantum many body systems with strong interactions and/or strong randomness. I work on systems both in and out of equilbrium. Particular topics of interest include (but are not limited to): non-equilibrium quantum statistical mechanics, many body localization and thermalization, field theory of correlated systems, Dirac fermions, unconventional superconductors, and the interplay of disorder and interactions.