C. Franc

activity

20122026

most citedFourier coefficients of vector-valued modular forms of dimension 2

17 citations · 44 across the 20 of their papers we have counts for

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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 $Γ_{0} (2)$ by using a theorem of Serre. Then, we apply th…

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…

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​

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