My research interests lie broadly in the field of Applied Topology. In particular, I am interested in the development of persistent homology, topological time series analysis, non linear dimensionality reduction, and persistent homotopy theory.

Here is my research statement from 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

Here is a very helpful guide/checklist/instructions by MIT Mathematics regarding NSF grant proposals.

Here is the homepage of MAA's Project NExT.