My research lies in the area of algebraic topology, specifically in the branch called stable homotopy theory. In the past, I have been interested in calculating central powers of self-maps of finite p-local spectra. Currently, I am interested in studying the ring of stably invertible modules over sub-Hopf algebras of the Steenrod Algebra, with the ultimate goal of understanding \( BP \langle n \rangle \wedge BP \langle n \rangle \) and the Tate spectrum of \( BP \langle n \rangle \) for all n.