The homeomorphisms of the Sierpinski carpet are not classifiable by countable structures [arXiv | DOI].
Journal of Topology and Analysis, to appear. Joint work with Aristotelis Panagiotopoulos.
Part of this work was done at the Carnegie Mellon University SURF program in 2023.
Annals of Pure and Applied Logic, 176(4), 2025. Joint work with Matthew Harrison-Trainor.
Part of this work was done at the University of Michigan Mathematics REU program in 2022.
A Gentle Introduction to the Axiom of Choice [arXiv].
Submitted, 2025. Joint work with Andreas Blass.
A Reverse Mathematical Analysis of Hilbert's Nullstellensatz and Basis Theorem [arXiv].
Submitted, 2024. This is based on my Math Honors Thesis advised by Andreas Blass and Jamie Tappenden.
Cardinal Well-foundedness and Choice [arXiv].
Submitted, 2024. Joint work with Andreas Blass.
A Gentle Introduction to Ultraproducts [link].
First version prepared for GSI lecture at Phil 414 (Mathematical Logic), Fall 2024. Second (and current) version prepared for Student Model Theory Reading Seminar, Winter 2025.
Dual Spaces Handbook [link].
A gentle introduction to dual spaces for Honors Math students at the University of Michigan. Joint work with Maxwell Natonson.
On Ultraproducts in Commutative Algebra [link].
Final project for Math 614 (Commutative Algebra), Fall 2023, taught by Andrew Snowden.