I am a 4th year PhD candidate in Mathematics. My thesis advisor is Eugene Lerman.
My main research interests lie in the intersection of dynamical systems, differential geometry, and category theory. In particular, I like to apply the latter two areas to understand dynamics. Broadly speaking, my thesis project consists of studying equivariant dynamical systems on a manifold in this way. I also study applications of these ideas to Hamiltonian systems on symplectic manifolds.