An extensive study was conducted on pulsed optical injection steering in VCSEL arrays to guide the system toward desired equilibrium points.

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Published on April 20, 2026

Path optimization with persistent homology to encourage desired dynamics through topologically defined cost functions.

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Published on May 01, 2025

I successfully defended my thesis on March 25th 2025.

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Published on March 25, 2025

We introduce a new data assimilation algorithm leveraging the differentiability of persistence diagrams. The method is also generalized to other forecast methods and applied to high-dimensional Hal...

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Published on November 12, 2024

We introduce new methods for determining the optimal embedding delay for time series data leveraging sublevel persistent homology from topological data analysis.

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Published on June 10, 2024

I passed my comprehensive examination on 4/11/24 and I am officially a Ph.D. candidate!

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Published on April 11, 2024

A time delay model is introduced for modeling metabolic oscillations in yeast cells. We explore the system parameter spaces using numerical approaches to search for limit cycles in the system traje...

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Published on May 16, 2023

A mini tutorial presentation given at SIAM-DS in May of 2023. We presented applications of topological data analysis to timeseries data and dynamical systems.

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Published on May 15, 2023

We compute persistent homology of coarse-grained state space networks for various dynamical systems to classify between periodic and chaotic timeseries data. This method is also compared to the ord...

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Published on March 02, 2023

Topological data analysis applied to surface texture data for quantifying features such as depth and roundness of the motifs.

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Published on January 06, 2023