Christopher Davis

activity

20032023

most citedMagnifying superlens in the visible frequency range

732 citations · 1.1k across the 18 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

3 papers · 2 filters

math.NT2014★ 1 cited

Explicit points on $y^{2} + x y - t^{d} y = x^{3}$ and related character sums

Christopher Davis, Tommy Occhipinti

Let $F_{q}$ denote a finite field of characteristic $p \geq 5$ and let $d = q + 1$ . Let $E_{d}$ denote the elliptic curve over the function field $F_{q^{2}} (t)$ defined b…

math.NT2014

A characterization of strictly APF extensions

Bryden Cais, Christopher Davis, Jonathan Lubin

Let K denote a finite extension of Qp. We give necessary and sufficient conditions for an infinite totally wildly ramified extension L/K to be strictly APF in the sense of Fontaine…

math.NT2014

Almost purity and overconvergent Witt vectors

Christopher Davis, Kiran S. Kedlaya

In a previous paper, we stated a general almost purity theorem in the style of Faltings: if R is a ring for which the Frobenius maps on finite p-typical Witt vectors over R are sur…

Explicit points on y2+xy−tdy=x3 and related character sums

A characterization of strictly APF extensions

Almost purity and overconvergent Witt vectors

Explicit points on $y^{2} + x y - t^{d} y = x^{3}$ and related character sums