Professor Bagci's research interests include various aspects of applied and theoretical computational electromagnetics with emphasis on time-domain integral-equations and their fast marching-on-in-time-based solutions; application of time-domain integral-equations-based solvers to the characterization of wave interactions on complex integrated and electrically large system of photonics and optics; development of fast hybrid methods for analyzing electromagnetic wave interactions on complex platforms loaded with cables and circuits; statistical characterization of wave interactions on complex platforms; well-conditioned integral equation formulations; and solution of electromagnetic inverse scattering problems using signal processing techniques.