My mathematical interests lie in the field of Applied Topology. In a broad sense, my research has been motivated by problems originating in dynamical systems. I can vaguely classify it into the following categories:

  • The development of persistent homology

  • Dynamical systems and time series analysis

  • Manifold Reconstruction and Dimensionality Reduction

  • Applications to Data

Here are my research statements from 2021 and 2019, and my Ph.D. dissertation (This might be a preview. If you would like a full version, just send me an email.)

A list of useful links