Geometry and analysis of locally symmetric spaces associated to finite-dimensional Lie groups and affine Kac–Moody (loop) groups
I am particularly interested in:
Scattering geodesics and higher-dimensional analogs on locally symmetric spaces
Compactification techniques for locally symmetric spaces
Arithmetic quotients of semisimple Lie groups and affine Kac–Moody (loop) groups
Trace formulas and spectral theory in noncompact settings