J. Booher

activity

20242026

collaborators

7 papers

math.NT2026

Higher a-numbers in $Z_{p}$ -towers via Counting Lattice Points

Jeremy Booher, Jack Hsieh, Rakesh Rivera +3

Booher, Cais, Kramer-Miller and Upton study a class of $Z_{p}$ -tower of curves in characteristic $p$ with ramification controlled by an integer $d$ . In the special case that…

math.NT2026

Doubly isogenous curves of genus two with a rational action of $D_{6}$

Jeremy Booher, Everett W. Howe, Andrew V. Sutherland +1

Let $C$ and $C^{'}$ be curves over a finite field $K$ , provided with embeddings $I^^{1}$ and $Î¹'$ into their Jacobian varieties. Let $D \to C$ and $D^{'} \to C^{'}$ be the pullbacks (via these e…

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.NT2026

Computing Crystalline Cohomology and p-Divisible Groups for Curves over Finite Fields

Jeremy Booher

Let $X$ be a smooth projective curve over a finite field of characteristic $p$ . We describe and implement a practical algorithm for computing the $p$ -divisible group $Jac(X)[p^\inf…

math.NT2025

Producing supersingular curves of genus five

Jeremy Booher, Rachel Pries

For a prime $p$ congruent to three modulo four, we prove that there exists a smooth curve of genus five in characteristic $p$ that is supersingular. We produce this curve as an unr…

math.NT2025

Supersingular curves via the Shimura--Taniyama method

Jeremy Booher, Rachel Pries

For a curve which admits an abelian cover of the projective line branched at three points, we study when its reduction to positive characteristic is supersingular. Using the method…

Higher a-numbers in Zp​-towers via Counting Lattice Points

Doubly isogenous curves of genus two with a rational action of D6​

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

Computing Crystalline Cohomology and p-Divisible Groups for Curves over Finite Fields

Producing supersingular curves of genus five

Supersingular curves via the Shimura--Taniyama method

Higher a-numbers in $Z_{p}$ -towers via Counting Lattice Points

Doubly isogenous curves of genus two with a rational action of $D_{6}$

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