I am primarily interested in Analysis, especially Harmonic Analysis, though I can be easily distracted by an interesting problem in any field. In particular, I am quite fond of Group Theory and Mathematical Music Theory.
My previous research includes my Honors Project at Oberlin College; I worked on topics in analysis related to maximal functions/maximal inequalities under the supervision of Chris Marx.
I have also recently completed an REU at UWashington-Seattle, studying the HRT Conjecture. In short, the conjecture is about the linear independance of time-frequency shifts of \(L^2\) functions.
Presentations
- Oberlin Pizza Talk, April 30, 2026. Almost-Everywhere Convergence and the Magic of Maximal Functions. [slides]
- Nebraska Conference for Undergraduate Wisdom in Mathematics, Jan. 31, 2026. Costello Divisibility: Explorations of a Comedic Division Algorithm. [slides]
- Oberlin Undergraduate Research Symposium, Apr. 25, 2025. Costello Divisibility: Explorations of a Comedic Division Algorithm. [poster]
Publications and preprints
- Maximal Functions and Almost-Everywhere Convergence, Honors Thesis in Mathematics, defended April 23, 2026. [pdf, slides]
- Costello Divisibility: Explorations of a Comedic Division Algorithm (with Alexander N. Wilson), The College Mathematics Journal, Volume 57, Issue 4, pg. 287-293. [online, pdf]