- Professor Gurarie’s research is focused on studying the emergent properties of the interacting quantum many body systems. These can be electrons in solids or cold atomic gases. Of particular interest are many body systems which form topological states of matter, the states whose collective excitations behave like particles which are fundamentally different from the underlying electrons or atoms. Other interesting states under investigation are interacting topological insulators, the states created in cold atomic gases by the artificial gauge fields, quantum gases in low dimensions and out of equilibrium. Mathematical aspects of the theory of these phenomena are also studied.