Symmetries and Dualities in Physics
Sati's research is interdisciplinary and lies in the intersection of geometry and mathematical/theoretical physics. Symmetries and various dualities (T-duality, S-duality, U-duality, Pontrjagin duality, Langlands duality) play an important role in his work. Sati has been interested in the appearance of Kac-Moody symmetries, both affine and hyperbolic, in physics. Recent and current projects involve the realization of modular forms in string theory and M-theory, studying Weyl group orbits for discrete forms of exceptional Lie groups, as well as using Bruhat-Tits buildings to describe certain moduli spaces of physical fields.