Chris Hall

activity

20062026

most citedAn open image theorem for a general class of abelian varieties

49 citations · 127 across the 18 of their papers we have counts for

collaborators

18 papers

math.NT2026

Hasse-Weil Zeta Functions Modulo a Prime

Chris Hall

Let $F_{q}$ be a finite field of characteristic $p$ and $π : Y \to X$ be a finite $F_{q}$ -morphism of separated $F_{q}$ -schemes of finite type. Suppose $π$ …

math.NT2022

Class Field Theory and Arithmetic of Abelian Varieties over Local Fields

Christopher Stephen Hall

We use knowledge of local fields to adapt Jonathan Lubin and Michael Rosen's proof of Mazur's Proposition 4.39. This changes the result about abelian varieties from only working ov…

math.NT2018★ 3 cited

Variance of sums in arithmetic progressions of divisor functions associated with higher degree l-functions in $F_{q} (t)$

Chris Hall, Jonathan P. Keating, Edva Roditty-Gershon

We compute the variances of sums in arithmetic progressions of generalised k-divisor functions related to certain L-functions in $F_{q} (t)$ , in the limit as $q \to \infty$ . Th…

math.GR2017

Coproducts of Finite Groups

Chris Hall

We show that for any pair of non-trivial finite groups, their coproduct in the category of finite groups is not representable.

math.NT2017★ 3 cited

Variance of sums in arithmetic progressions of arithmetic functions associated with higher degree $L$ -functions in $F_{q} [t]$

Chris Hall, Jonathan P. Keating, Edva Roditty-Gershon

We compute the variances of sums in arithmetic progressions of arithmetic functions associated with certain $L$ -functions of degree two and higher in $F_{q} [t]$ , in the limi…

math.CO2015★ 19 cited

Ramanujan Coverings of Graphs

Chris Hall, Doron Puder, William F. Sawin

Let $G$ be a finite connected graph, and let $ρ$ be the spectral radius of its universal cover. For example, if $G$ is $k$ -regular then $ρ = 2 k - 1$ . We show that for every $r$ ,…

Hasse-Weil Zeta Functions Modulo a Prime

Class Field Theory and Arithmetic of Abelian Varieties over Local Fields

Variance of sums in arithmetic progressions of divisor functions associated with higher degree l-functions in Fq​(t)

Coproducts of Finite Groups

Variance of sums in arithmetic progressions of arithmetic functions associated with higher degree L-functions in Fq​[t]

Ramanujan Coverings of Graphs

Variance of sums in arithmetic progressions of divisor functions associated with higher degree l-functions in $F_{q} (t)$

Variance of sums in arithmetic progressions of arithmetic functions associated with higher degree $L$ -functions in $F_{q} [t]$