Sean Howe

collaborators

6 papers

math.NT2026

$p$ -adic Maass--Shimura operators on $I^¼$ -ordinary Igusa varieties

Andrew Graham, Pol van Hoften, Sean Howe

For Shimura varieties of Hodge type, we optimally extend algebraic Maass--Shimura differential operators on $p$ -integral nearly holomorphic automorphic forms to differential operat…

math.NT2026

The relativistic $p$ -adic sunscreen conjecture

Sean Howe

We formulate a conjecture about intersections between the Banach-Colmez space $BC (1/2)$ and germs of smooth rigid analytic curves at the origin in $\mathbb{A}^2_{\mathbb{C…

math.NT2026

Admissible pairs and $p$ -adic Hodge structures III: Variation and unlikely intersection

Sean Howe, Christian Klevdal

We extend the relative theory of admissible pairs and $p$ -adic Hodge structures introduced in Part II to allow variation in the underlying local systems of $Q_{p}$ -vector sp…

math.NT2026

Inscription, twistors, and $p$ -adic periods

Sean Howe

We introduce the theory of inscribed $v$ -sheaves, a differentiable extension of the theory of diamonds and $v$ -sheaves with internal tangent bundles that are often relative inscrib…

math.NT2025

$p$ -adic Fourier theory in families

Andrew Graham, Pol van Hoften, Sean Howe

We construct Fourier transforms relating functions and distributions on finite height $p$ -divisible rigid analytic groups and objects in a dual category of $Z_{p}$ -local sys…

math.NT2025

Characterizing perfectoid covers of abelian varieties

Rebecca Bellovin, Hanlin Cai, Sean Howe +1

We give a simple characterization of all perfectoid profinite Ã©tale covers of abelian varieties in terms of the Hodge-Tate filtration on the $p$ -adic Tate module. We also compute…

p-adic Maass--Shimura operators on I^¼-ordinary Igusa varieties

The relativistic p-adic sunscreen conjecture

Admissible pairs and p-adic Hodge structures III: Variation and unlikely intersection

Inscription, twistors, and p-adic periods

p-adic Fourier theory in families

Characterizing perfectoid covers of abelian varieties

$p$ -adic Maass--Shimura operators on $I^¼$ -ordinary Igusa varieties

The relativistic $p$ -adic sunscreen conjecture

Admissible pairs and $p$ -adic Hodge structures III: Variation and unlikely intersection

Inscription, twistors, and $p$ -adic periods

$p$ -adic Fourier theory in families