J. Booher

activity

20162026

most citedMinimally Ramified Deformations when

ℓ \neq = p

10 citations · 31 across the 20 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.NT2024

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.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

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.NT2024

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 $ι$ and $ι^{'}$ into their Jacobian varieties. Let $D \to C$ and $D^{'} \to C^{'}$ be the pullbacks (via these emb…

Producing supersingular curves of genus five

Iwasawa theory of Frobenius-torsion class group schemes

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

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

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

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