C. Franc

activity

20242026

collaborators

4 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…

math.NT2025

The moduli space of representations of the modular group into $G_{2}$

Angelica Babei, Andrew Fiori, Cameron Franc

In this paper we construct a large four-dimensional family of representations of the modular group into $G_{2}$ . Precisely, this family is an etale cover of degree $96$ of an open su…

math.NT2024

Density formulas for $p$ -adically bounded primes for hypergeometric series with rational and quadratic irrational parameters

Cameron Franc, Nathan Heisz, Hannah Nardone

We study densities of $p$ -adically bounded primes for hypergeometric series in two cases: the case of generalized hypergeometric series with rational parameters, and the case of $_…

Vertex operator algebra bundles on modular curves and their associated modular forms

An Improved Lower Bound on the Image of the 2-adic Character Map for the Heisenberg Algebra via Modular Linear Differential Equations

The moduli space of representations of the modular group into G2​

Density formulas for p-adically bounded primes for hypergeometric series with rational and quadratic irrational parameters

The moduli space of representations of the modular group into $G_{2}$

Density formulas for $p$ -adically bounded primes for hypergeometric series with rational and quadratic irrational parameters