Joe Kramer-Miller

activity

20192021

F

-isocrystals on higher dimensional varieties

2 citations · 3 across the 4 of their papers we have counts for

collaborators

5 papers

math.NT2021

Newton Polygons of Sums on Curves II: Variation in $p$ -adic Families

Joe Kramer-Miller, James Upton

In this article we study the behavior of Newton polygons along $Z_{p}$ -towers of curves. Fix an ordinary curve $X$ over a finite field $F_{q}$ of characteristic $p$ .…

math.NT2021★ 1 cited

Newton Polygons of Sums on Curves I: Local-to-Global Theorems

Joe Kramer-Miller, James Upton

The purpose of this article is to study Newton polygons of certain abelian $L$ -functions on curves. Let $X$ be a smooth affine curve over a finite field $F_{q}$ and let $ρ:π…

math.NT2020

Some unlikely intersections between the Torelli locus and Newton strata in $A_{g}$

Joe Kramer-Miller

Let $p$ be an odd prime. What are the possible Newton polygons for a curve in characteristic $p$ ? Equivalently, which Newton strata intersect the Torelli locus in $A_{g}$ ?…

math.NT2019

$p$ -adic estimates of exponential sums on curves

Joe Kramer-Miller

The purpose of this article is to prove a ``Newton over Hodge'' result for exponential sums on curves. Let $X$ be a smooth proper curve over a finite field $F_{q}$ of charac…

math.NT2019★ 2 cited

Log-decay $F$ -isocrystals on higher dimensional varieties

Joe Kramer-Miller

Let $k$ be a perfect field of positive characteristic and let $X$ be a smooth irreducible quasi-compact scheme over $k$ . The Drinfeld-Kedlaya theorem states that for an irreducible…

Newton Polygons of Sums on Curves II: Variation in p-adic Families

Newton Polygons of Sums on Curves I: Local-to-Global Theorems

Some unlikely intersections between the Torelli locus and Newton strata in Ag​

p-adic estimates of exponential sums on curves

Log-decay F-isocrystals on higher dimensional varieties

Newton Polygons of Sums on Curves II: Variation in $p$ -adic Families

Some unlikely intersections between the Torelli locus and Newton strata in $A_{g}$

$p$ -adic estimates of exponential sums on curves

Log-decay $F$ -isocrystals on higher dimensional varieties