Samuel Marks

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-adic Properties of Hauptmoduln with Applications to Moonshine

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math.NT2023

Prismatic $F$ -crystals and Lubin-Tate $(φ_{q}, Γ)$ -modules

Samuel Marks

Let $L / Q_{p}$ be a finite extension. We introduce $L$ -typical prisms, a mild generalization of prisms. Following ideas of Bhatt, Scholze, and Wu, we show that certain vector…

math.NT2018★ 1 cited

$p$ -adic Properties of Hauptmoduln with Applications to Moonshine

Ryan C. Chen, Samuel Marks, Matthew Tyler

The theory of monstrous moonshine asserts that the coefficients of Hauptmoduln, including the $j$ -function, coincide precisely with the graded characters of the monster module, an…

Prismatic F-crystals and Lubin-Tate (φq​,Γ)-modules

p-adic Properties of Hauptmoduln with Applications to Moonshine

Prismatic $F$ -crystals and Lubin-Tate $(φ_{q}, Γ)$ -modules

$p$ -adic Properties of Hauptmoduln with Applications to Moonshine