4 papers · 1 filter
Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6
Nikola Adžaga, Vishal Arul, Lea Beneish +4
We use the method of quadratic Chabauty on the quotients of modular curves by their Fricke involutions to provably compute all the rational points of these curv…
Module constructions for certain subgroups of the largest Mathieu group
Lea Beneish
For certain subgroups of , we give vertex operator algebraic module constructions whose associated trace functions are meromorphic Jacobi forms. These meromorphic Jacobi fo…
On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras
Lea Beneish, Michael H. Mertens
Using techniques from the theory of mock modular forms and harmonic Maass forms, especially Weierstrass mock modular forms, we establish several dimension formulas for certain stro…
Quasimodular moonshine and arithmetic connections
Lea Beneish
We prove the existence of a module for the largest Mathieu group, whose trace functions are weight two quasimodular forms. Restricting to the subgroup fixing a point, we see that t…