We are a research group focused on studying how collective and cooperative states of matter emerge in quantum many-body systems. We employ the tools of theoretical physics to study phase transitions, dimensional crossover and entanglement in quantum fluids, ultra-cold bosonic gases, superconductors and topological states of matter. This includes using quantum field theory in tandem with the development of novel high-performance Monte Carlo algorithms for the study of strongly interacting quantum matter. We specialize in the low dimensional spatial continuum, where strong fluctuations preclude any long range ordered phases, and instead a type of universal liquid description is appropriate. Ultimately, we hope to learn how to harness the unique correlations present in all quantum-mechanical phases for high-precision measurement, secure long-distance communication and non-classical computation.