Zachary Porat

collaborators

3 papers

math.NT2026

Distinguishing elliptic curves modulo $p$ and identifying images of product representations

Jessica Bennett, Jeffrey Hatley, Sasha Kononova +3

Given two elliptic curves defined over $Q$ and a rational prime $p$ , we study the product of their residual Galois representations. Using Goursat's lemma, we explicitly en…

math.NT2025

Computations directly on the cuspidal cohomology of congruence subgroups of $SL (3, Z)$

Zachary Porat

Ash, Grayson, and Green [J. Number Theory 19 (1984), pp. 412-436] compute the action of Hecke operators on a certain subspace of the cohomology of low-level congruence subgroups of…

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 $\…

Distinguishing elliptic curves modulo p and identifying images of product representations

Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,Z)

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

Distinguishing elliptic curves modulo $p$ and identifying images of product representations

Computations directly on the cuspidal cohomology of congruence subgroups of $SL (3, Z)$

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