Joe Kramer-Miller

activity

20242026

collaborators

4 papers

math.NT2026

Ekedahl-Oort types of $Z /2 Z$ -covers in characteristic $2$

Jeremy Booher, Steven R. Groen, Joe Kramer-Miller

In this article we study the Ekedahl-Oort types of $Z /2 Z$ -Galois covers $I ¨ : Y \to X$ in characteristic two. When the base curve $X$ is ordinary, we show that the…

math.CO2025

The diagonal and Hadamard grade of hypergeometric functions

Andrew Harder, Joe Kramer-Miller

Diagonals of rational functions are an important class of functions arising in number theory, algebraic geometry, combinatorics, and physics. In this paper we study the diagonal gr…

math.NT2024

Iwasawa theory of Frobenius-torsion class group schemes

Jeremy Booher, Bryden Cais, Joe Kramer-Miller +1

We establish a new Iwasawa theory for the kernel of Frobenius on Jacobians of curves in geometric $Z_{p}$ -towers over the projective line in characteristic $p$ , thereby prov…

math.NT2024

Transcendence properties of the Artin-Hasse exponential modulo $p$

Joe Kramer-Miller

Let $E_{p} (x)$ denote the Artin-Hasse exponential and let $E_{p} (x)$ denote its reduction modulo $p$ in $F_{p} [[x]]$ . In this article we study transcendence propertie…

Ekedahl-Oort types of Z/2Z-covers in characteristic 2

The diagonal and Hadamard grade of hypergeometric functions

Iwasawa theory of Frobenius-torsion class group schemes

Transcendence properties of the Artin-Hasse exponential modulo p

Ekedahl-Oort types of $Z /2 Z$ -covers in characteristic $2$

Transcendence properties of the Artin-Hasse exponential modulo $p$