My research interest lies in Topological Data Analysis (TDA). The goal
of my research is to recover the original system from sampled data using
TDA and Machine Learning (ML). Specifically, this involves recovering a
dynamical system from time-series data, as well as addressing
optimization problems arising from it. Naturally, my research is related
to Hamiltonian dynamics, dimension reduction and related topological
optimization: nonconvex, nonsmooth optimization problems.