My broad area of research is topological dynamics. Mostly, I am interested in studying problems related to the periodicity.
Majority of my publications mainly comprise results on characterizing the sets of periods and sets of periodic points of various families of dynamical systems on a given space like linear transformations on finite dimensional vector spaces as well as Hilbert spaces, homeomorphisms of certain compact metric spaces and homeomorphisms on certain solenoids.
I am also interested in considering problems related to chaos, entropy and ergodic theory.