My research is devoted to the theory of interacting electrons in low dimensional and nanoscale structures. My early work was focused on the two-dimensional (2D) electron gas under the quantum Hall effect conditions and also on interaction and disorder phenomena in nanowires. Since 2008 I concentrated on physics of graphene and other 2D crystals. I am interested in electronic, excitonic, nanomechanic, and plasmonic properties of such materials. I also study excitons in semiconductor quantum wells. I collaborate with a number of experimentalists, both at UCSD and at large.