Erik Davis

collaborators

4 papers

math.NT2025

Hecke $L$ -series for Sinha modules

Erik Davis, Matthew Papanikolas

We investigate Goss $L$ -functions associated to Anderson $t$ -modules defined by Sinha having complex multiplication by Carlitz cyclotomic fields. We show that these $t$ -modules are…

math.AG2025

Heuristics for (ir)reducibility of $p$ -rank strata of the moduli space of hyperelliptic curves

Thomas Bouchet, Erik Davis, Steven R. Groen +2

Let $H_{g}$ denote the moduli space of smooth hyperelliptic curves of genus $g$ in characteristic $p \geq 3$ , and let $H_{g}^{f}$ denote the $p$ -rank $f$ stratum of $\…

math.PR2017

Approximating geodesics via random points

Erik Davis, Sunder Sethuraman

Given a `cost' functional $F$ on paths $γ$ in a domain $D \subset R^{d}$ , in the form $F (γ) = \int_{0}^{1} f (γ (t), γ ˙ (t)) d t$ , it is of interest to approximate its minimum cost a…

math.PR2016

Consistency of modularity clustering on random geometric graphs

Erik Davis, Sunder Sethuraman

We consider a large class of random geometric graphs constructed from samples $X_{n} = {X_{1}, X_{2}, \dots, X_{n}}$ of independent, identically distributed observations of an un…

Hecke L-series for Sinha modules

Heuristics for (ir)reducibility of p-rank strata of the moduli space of hyperelliptic curves

Approximating geodesics via random points

Consistency of modularity clustering on random geometric graphs

Hecke $L$ -series for Sinha modules

Heuristics for (ir)reducibility of $p$ -rank strata of the moduli space of hyperelliptic curves