Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the
last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so …

Abstract The Umbral Moonshine Conjectures assert that there are infinite-dimensional
graded modules, for prescribed finite groups, whose McKay–Thompson series are certain …

As Mathieu moonshine is a special case of umbral moonshine, Thompson moonshine (in
half-integral weight) is a special case of a family of similar relationships between finite …

A bstract Special conformal field theories can have symmetry groups which are interesting
sporadic finite simple groups. Famous examples include the Monster symmetry group of ac …

The Monster group, the biggest of the sporadic groups, is equipped with the highest known
number of dimensions and symmetries. Taking into account variants of the Borsuk–Ulam …

A bstract We determine the generating functions of 1/4 BPS dyons in a class of 4d\(\mathcal
{N}\)= 4 string vacua arising as CHL orbifolds of K3× T 2, a classification of which has been …

The denominator formula for the Monster Lie algebra is the product expansion for the
modular function J (z)− J (τ) given in terms of the Hecke system of SL 2 (Z)-modular functions …

We use the unique canonically twisted module over a certain distinguished super vertex
operator algebra—the moonshine module for Conway's group—to attach a weak Jacobi …

The word moonshine refers to unexpected relations between the two distinct mathematical
structures: finite group representations and modular objects. It is believed that the key to …

We construct super vertex operator algebras which lead to modules for moonshine relations
connecting the four smaller sporadic simple Mathieu groups with distinguished mock …