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My mathematical interests lie in the field of Applied Topology. I can vaguely classify it into the following categories:
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The development of persistent homology
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Dynamical systems and time series analysis
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Manifold Reconstruction and Dimensionality Reduction
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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
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Kaden Schaberg, January 2023 - May 2023
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Anishka Peter, March 2022 - December 2022
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Mark Ramirez, February 2021 - May 2022
A list of useful links
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Applied Algebraic Topology Research Network's YouTube Channel
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If you would like a short introduction to persistent homology, check out this tutorial by Matthew Wright.
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