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.

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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.