Millennium Research
June 2026 – July 2026
Research Assistant
- Audited Lean 4/Mathlib formalizations against natural-language mathematical statements
for a large-scale autoformalization dataset, verifying logical faithfulness across
combinatorics, algebra, analysis, and number theory.
- Identified subtle semantic gaps between natural mathematical language and formal code,
including missing domain restrictions, weakened existential quantifiers, and unstated type
generalizations.
- Performed clause-by-clause verification requiring fluency across many advanced
subfields of mathematics to determine faithfulness of formal statements to natural
language.
University at Albany
December 2024 – May 2025
Undergraduate Research Assistant · Albany, NY
- Investigated a potential link between group representation theory and Diophantine
analysis.
- Designed Python programs to compute 50,000+ integer solutions for multivariable
polynomials and analyze the properties of and patterns within those solutions.
- Created a poster summarizing the research and presented it about 20 times to UAlbany
community members.