Monstrous moonshine relates distinguished modular functions to the representation theory
of the Monster. The celebrated observations that 1= 1, 196884= 1+ 196883, 21493760= 1+ …

We exhibit an action of Conway's group–the automorphism group of the Leech lattice–on a
distinguished super vertex operator algebra, and we prove that the associated graded trace …

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 …

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

We classify the optimal mock Jacobi forms of weight one with rational coefficients. The space
they span is thirty-four-dimensional, and admits a distinguished basis parameterized by …

We describe a relationship between the representation theory of the Thompson sporadic
group and a weakly holomorphic modular form of weight one-half that appears in work of …

A bstract Recent developments in the study of the moonshine phenomenon, including
umbral and Conway moonshine, suggest that it may play an important role in encoding the …

The Thompson sporadic group admits special relationships to modular forms of two kinds.
On the one hand, last century's generalized moonshine for the monster equipped the …

Motivated by the appearance of penumbral moonshine, and by evidence that penumbral
moonshine enjoys an extensive relationship to generalized monstrous moonshine via …

The commencement of monstrous moonshine is a connection between the largest sporadic
simple group---the monster---and complex elliptic curves. Here we explain how a closer look …