Undergraduate Research Projects
The Discrete Brachistochrone (Summer 2021 – Hillsdale College) – finding a direct proof for the equal time property. Advised by Dr. David Gaebler. Link to research write-up.
The Koopman Operator (Fall 2022 – Spring 2023 – Hillsdale College) – studying the Koopman Operator in simple applications. Advised by Dr. David Gaebler. Link to research write-up.
“Degrees of Arnn” (Fall 2022 – Hillsdale College) – using graph theory to survey social interconnectedness of a small college campus. Applied Math Club project. Link to research write-up.
Georg Cantor and the Actual Infinite (Fall 2021 – Spring 2023 – Hillsdale College) – an interdisciplinary thesis analyzing Georg Cantor’s philosophy in light of the Aristotelian tradition of the Actual Infinite. A Collegiate Scholars Program Thesis. Advised by Dr. David Murphy, Dr. Blake McAllister, Dr. Eric Hutchinson. Link to thesis.