Bryden Cais

activity

20082026

most citedDieudonne crystals and Wach modules for p-divisible fgroups

6 citations · 16 across the 17 of their papers we have counts for

collaborators

20 papers

math.NT2026

Unramified Geometric Iwasawa theory of function fields

Bryden Cais, Daniel Lewis

For an algebraically closed field $k$ of characteristic $p > 0$ , we study unramified $Z_{p}$ -towers ${X_{n}}_{n \geq 0}$ of smooth, projective and connected curves over $k$ . Our…

math.NT2026

Minimal $a$ -numbers of Artin--Schreier covers of ordinary curves

Bryden Cais, Douglas Ulmer

Let $k$ be a perfect field of characteristic $p > 0$ , and let $d$ be a positive integer not divisible by $p$ . We define a non-empty Zariski open subset $U$ of the space of polynomial…

math.AG2025

Class field theory for function fields and finite abelian torsors

Bryden Cais, Shusuke Otabe

Let $U$ be a smooth and connected curve over an algebraically closed field of positive characteristic, with smooth compactification $X$ . We generalize classical Geometric Class Fie…

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.NT2023

$p$ -torsion for unramified Artin--Schreier covers of curves

Bryden Cais, Douglas Ulmer

Let $Y \to X$ be an unramified Galois cover of curves over a perfect field $k$ of characteristic $p > 0$ with $Gal (Y / X) ≅ Z / p Z$ , and let $J_{X}$ and $J_{Y}$ b…

math.NT2022

Iwasawa Dieudonné theory of function fields