Our research is concerned with the investigation of statistical properties of complex and/or chaotic systems. The study covers topics as varied as quantum conductance in mesoscopic devices, entanglement in random pure states, transmission properties in microwave resonators, and performance of multiple antenna communication systems. The mathematical tools used for this purpose include Random Matrix Theory and Supersymmetry, which are extremely rich subjects in themselves. Consequently, development of novel tools and techniques in these and related areas is also of interest.