1 citations · 2 across the 3 of their papers we have counts for
8 papers
The unbounded denominator conjecture for the noncongruence subgroups of index
Andrew Fiori, Cameron Franc
We study modular forms for the minimal index noncongruence subgroups of the modular group. Our main theorem is a proof of the unbounded denominator conjecture for these groups, and…
Classification of some vertex operator algebras of rank 3
Cameron Franc, Geoffrey Mason
We discuss the classification of strongly regular vertex operator algebras (VOAs) with exactly three simple modules whose character vector satisfies a monic modular linear differen…
Nonabelian Hodge theory and vector valued modular forms
Cameron Franc, Steven Rayan
We examine the relationship between nonabelian Hodge theory for Riemann surfaces and the theory of vector valued modular forms. In particular, we explain how one might use this rel…
Constructions of vector-valued modular forms of rank four and level one
Cameron Franc, Geoff Mason
This paper studies modular forms of rank four and level one. There are two possiblities for the isomorphism type of the space of modular forms that can arise from an irreducible re…
Densities of bounded primes for hypergeometric series with rational parameters
Cameron Franc, Brandon Gill, Jason Goertzen +2
The set of primes where a hypergeomeric series with rational parameters is -adically bounded is known by [10] to have a Dirichlet density. We establish a formula for this Dirich…
On unbounded denominators and hypergeometric series
Cameron Franc, Terry Gannon, Geoffrey Mason
We study the question of when the coefficients of a hypergeometric series are p-adically unbounded for a given rational prime p. Our first main result is a necessary and sufficient…