3 papers
math.NT2026
Vertex operator algebra bundles on modular curves and their associated modular forms
Daniel Barake, Owen Chuchman, Cameron Franc +2
This paper describes the vector bundle on the elliptic modular curve that is associated to a vertex operator algebra (VOA) or more generally a quasi-vertex operator algebra (QV…
math.NT2025
An Improved Lower Bound on the Image of the 2-adic Character Map for the Heisenberg Algebra via Modular Linear Differential Equations
Daniel Barake, Cameron Franc
We describe families of MLDEs whose solutions are modular forms of level one that converge, -adically, to a Hauptmodul on by using a theorem of Serre. Then, we apply th…
math.NT2023
Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras
Daniel Barake, Cameron Franc
We study characters of states in -adic vertex operator algebras. In particular, we show that the image of the character map for both the -adic Heisenberg and -adic lattice…