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

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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.)