Office Hours
Tuesday 1:00-2:00pm, Wednesday 12:30-1:30pm in Math and Physics 025 (in person). Virtual office hours are available by appointment. Please email me for the zoom link.
Current Appointments & Affiliations
Professor of Mathematics
·
2019 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Quadratically enriched binomial coefficients over a finite field
Conference Contemporary Mathematics · January 1, 2026 We compute an analogue of Pascal’s triangle enriched in bilinear forms over a finite field. This gives an arithmetically meaningful count of the ways to choose j ring homomorphisms into an algebraic closure from an étale extension of degree n. We also comp ... Full text CiteQuadratically enriched binomial coefficients over a finite field
Preprint · December 23, 2025 CiteA relative orientation for the moduli space of stable maps to a del Pezzo surface
Preprint · December 21, 2025 CiteRecent Grants
RTG: Linked via L-functions: training versatile researchers across number theory
Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2023 - 2028Motivic homotopy theory and applications
ResearchPrincipal Investigator · Awarded by Simons Foundation · 2026 - 2027A1-Homotopy Theory and Applications to Enumerative Geometry and Number Theory
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2024 - 2027View All Grants
Education
Stanford University ·
2009
Ph.D.