Our research spans a number of topics in quantum theory, including spin- and superconducting circuit-based quantum computation, quantum control, quantum communication, quantum simulation, many-body localization, time crystals and driven non-equilibrium spin dynamics, non-equilibrium physics in 2D materials, and novel topological materials such as topological insulators and Weyl semimetals. There is a particular emphasis on bridging formal, mathematical constructs with research closely connected to experiment.