My research is in mathematical philosophy (broadly construed). This includes philosophical questions that arise from mathematics, the application of mathematics to philosophy, and the history of these investigations.
Recently I’ve been focusing on philosophical topics related to the Axiom of Choice, such as the notion of constructivity and the axiom’s applications in analysis and probability theory. I also have interests in the philosophy of science.
My philosophy advisor is Joel David Hamkins and my math advisor is Nick Ramsey.
Research Papers
Recent and Upcoming Talks
- Mar 28, 2026, On Finite Additivity, 25th Pitt-CMU Graduate Conference in Philosophy
- Mar 27, 2026, Bayesian Convergence with Finite Additivity, Pittsburgh Formal Epistemology Workshop
- Dec 10, 2025, Finite Additivity, Axiom of Choice, and Bayesian Convergence, IU Bloomington Logic Seminar
- Jul 7, 2025, Poincaré’s Chalk and Lebesgue’s Measure, BISFORM 2025, Peking University
- Jun 17, 2025, Rigor, Formalizability, and Values in Mathematics, APPSA-LMPST Taiwan Conference, National Yang Ming Chiao Tung University
- Jul 11, 2024, The Number of Models of Unstable Theories without Choice, Poster Session of “120 Years of Choice” Conference, University of Leeds
- Feb 29, 2024, Poincaré’s Dilemma and the Notion of Rigor, “Rigor and the Growth of Knowledge” Conference, Laboratoire SPHere, Université Paris Cité
- Feb 2, 2024, Poincaré’s Chalk and Lebesgue’s Measure, UC Irvine Graduate Conference in Philosophy
Notes
- My note on the Borel conjecture. The note contains a writeup for a proof of the independence of the Borel conjecture from ZFC. It follows the first proof of this result due to Laver.