Daniel Barake

collaborators

2 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 $V$ (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, $2$ -adically, to a Hauptmodul on $I^_{0} (2)$ by using a theorem of Serre. Then, we apply t…