Applied Mathematics

I work in numerical analysis, the numerical approximation of partial differential equations, and scientific machine learning. My research focuses on theory and algorithms for quadrature/sampling in Physics-Informed Neural Networks, with an emphasis on reliability and robustness. Most recently, this has led me to boundary layer problems, error estimation, and adaptive quadrature.

Before arriving at Brown in 2023, I earned a bachelor's degree in math from Purdue University. My hobbies include running, board games, and piano.

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Thesis Advisor: Mark Ainsworth