Research

Mathematics Honors Thesis, 2024

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

Advisors: Andreas Blass and Jamie Tappenden.

Carnegie Mellon University Summer Undergraduate Research Fellowship, 2023 [link]

The homeomorphisms of the Sierpinski carpet are not classifiable by countable structures [arXiv].

Advisor: Aristotelis Panagiotopoulos. 

Support: NSF Grant DMS-2154258.

University of Michigan Research Experience for Undergraduates, 2022 [link]

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

Advisor: Matthew Harrison-Trainor. 

Support: Math Chair's Discretionary Funds at the Michigan Math REU Program.