Mathematical theory of diffraction, scattering and wave propagation, asymptotic technique, quantum scattering, non-linear waves, numerical approaches and computer modeling.
Main publications:
V. M. Babich, M. A. Lyalinov, V. E. Grikurov. "Diffraction Theory:The Sommerfeld–Malyuzhinets Technique" Alpha Science Series on Wave Phenomena, 2008.