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Snowmass White Paper: Moonshine
Sarah M. Harrison, Jeffrey A. Harvey, Natalie M. Paquette
We present a brief overview of Moonshine with an emphasis on connections to physics. Moonshine collectively refers to a set of phenomena connecting group theory, analytic number th…
Modular Products and Modules for Finite Groups
John F. R. Duncan, Jeffrey A. Harvey, Brandon C. Rayhaun
Motivated by the appearance of penumbral moonshine, and by evidence that penumbral moonshine enjoys an extensive relationship to generalized monstrous moonshine via infinite produc…
Two New Avatars of Moonshine for the Thompson Group
John F. R. Duncan, Jeffrey A. Harvey, Brandon C. Rayhaun
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 Thompson…