Writing
Academic Papers and Preprints
A Reverse Mathematical Analysis of Hilbert's Nullstellensatz and Basis Theorem [arXiv].
Submitted, 2024. Based on Mathematics Honors Thesis advised by Andreas Blass and Jamie Tappenden.
The homeomorphisms of the Sierpinski carpet are not classifiable by countable structures [arXiv].
Submitted, 2024. Joint work with Aristotelis Panagiotopoulos.
Cardinal Well-foundedness and Choice [arXiv].
Submitted, 2024. Joint work with Andreas Blass.
The Logic of Cardinality Comparison Without the Axiom of Choice [arXiv].
Submitted, 2023. Joint work with Matthew Harrison-Trainor.
Expository
On Ultraproducts in Commutative Algebra [link].
Final project for Math 614 (Commutative Algebra), Fall 2023, taught by Andrew Snowden.