I’m a fourth-year doctoral student working in algebra.

I’m interested in the various number theoretical properties that appear in the theory of Vertex Operator Algebras (VOAs). In particular, I am interested in “p-adic” VOAs which are VOA-like objects carrying interesting arithmetic. My research concerns:

  • Understanding p-adic VOAs from a geometric viewpoint, as vector bundles over non-archimedian curves
  • Classifying different kinds of p-adic VOAs.

I’m also interested in characters of VOAs which give rise to modular forms in surprising ways. In general, I’m always looking to study new and interesting connections between various algebraic objects!

Y(a,z)=∑n∈ℤa(n)bz−n−1Y(a,z) = \sum_{n \in \mathbb{Z}} a(n)b \hspace{1pt} z^{-n-1}

Feel free to contact me about anything mathematically-related, and check out the rest of this site! Also check out this side project.