470 citations · 1.3k across the 62 of their papers we have counts for
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Decompositions of index one Jacobi forms into characters and formulas for mock modular forms
Matthew Krauel, Geoffrey Mason, Michael Tuite +1
It is shown that every weak Jacobi form of weight zero and index one on a congruence subgroup of the full Jacobi group can be decomposed into superconformal characters. Addit…
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…
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…
On the structure of modules of vector valued modular forms
Cameron Franc, Geoffrey Mason
If denotes a finite dimensional complex representation of , then it is known that the module of vector valued modular forms for is free an…
Three-dimensional imprimitive representations of the modular group and their associated modular forms
Cameron Franc, Geoffrey Mason
This paper uses previous results of the authors on vector-valued modular forms to study certain non-congruence modular forms. We prove that these forms have unbounded denominators,…
Hypergeometric series, modular linear differential equations, and vector-valued modular forms
Cameron Franc, Geoffrey Mason
We survey the theory of vector-valued modular forms and their connections with modular differential equations and Fuchsian equations over the three-punctured sphere. We present a n…