I am working in the area of topological data analysis (TDA) which is a new approach to the analysis of datasets using techniques from topology. My research program applies the machinery of category theory and algebraic topology to the development of new methods for TDA and further unify existing methods. 

My Thesis work provides a generalized framework for the interleaving distance—a tool which is used as a dissimilarity measure for datasets—and a bridge for integrating more applied concepts such as dynamics, metrizability and stability with more pure areas such as algebra and sheaf theory. 

Currently I am a Post Doc Fellow with a joint appointment with TGDA-TRIPODS group and the Mathematical Biosciences Institute (MBI) of the Ohio State University. My current research work employs the machinery of algebraic topology and category theory for modeling: biological systems, such as phylogenetic networks, their comparative methods. and more broadly developing new mathematical methods for topological data analysis.