We solve problems in condensed matter physics, mainly in the area of strongly correlated electron systems using tools of quantum many-body theory and mathematical physics. We use some open-source codes and develop other required codes using Python and Fortran. Some of the research areas we are currently interested in are quantum criticality, nonequilibrium quantum systems, Mott-Anderson localization in disordered, interacting systems, non-hermitian quantum systems, and predictive modeling of correlated electron systems.