Papers

1. The homeomorphisms of the Sierpiński carpet are not classifiable by countable structures [arXiv | DOI]. 

Journal of Topology and Analysis, 18(3): 989–1005, 2026. Joint work with Aristotelis Panagiotopoulos.

Part of this work was done at the Carnegie Mellon University SURF program.

2. The Logic of Cardinality Comparison Without the Axiom of Choice [arXiv | DOI].

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.

3. A Gentle Introduction to the Axiom of Choice [arXiv].

Submitted. Joint work with Andreas Blass.

4. A Reverse Mathematical Analysis of Hilbert's Nullstellensatz and Basis Theorem [arXiv]. 

Based on: My Mathematics Honors Thesis  with the same title, advised by Andreas Blass and Jamie Tappenden.

5. Cardinal Well-foundedness and Choice [arXiv]. 

Submitted. Joint work with Andreas Blass.