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My mathematical interests lie in the field of Applied Topology. 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.)

Undergraduate Mentees

  • Kaden Schaberg, January 2023 - May 2023

  • Anishka Peter, March 2022 - December 2022

  • Mark Ramirez, February 2021 - May 2022

A list of useful links

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