Jeffrey Hatley

activity

20242026

collaborators

4 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

Elliptic curves of conductor $2^{m} p$ , quadratic twists, and Watkins' conjecture

Jeffrey Hatley, Debanjana Kundu

Let $E / Q$ be an elliptic curve. By the modularity theorem, it admits a surjection from a modular curve $X_{0} (N) \to E$ , and the minimal degree among such…

math.NT2024

On a conjecture of Mazur predicting the growth of Mordell--Weil ranks in $Z_{p}$ -extensions

Rylan Gajek-Leonard, Jeffrey Hatley, Debanjana Kundu +1

Let $p$ be an odd prime. We study Mazur's conjecture on the growth of the Mordell--Weil ranks of an elliptic curve $E / Q$ over $Z_{p}$ -extensions of an imaginary qua…

math.NT2024

Iwasawa theory and ranks of elliptic curves in quadratic twist families

Jeffrey Hatley, Anwesh Ray

We study the distribution of ranks of elliptic curves in quadratic twist families using Iwasawa-theoretic methods, contributing to the understanding of Goldfeld's conjecture. Given…

Distinguishing elliptic curves modulo p and identifying images of product representations

Elliptic curves of conductor 2mp, quadratic twists, and Watkins' conjecture

On a conjecture of Mazur predicting the growth of Mordell--Weil ranks in Zp​-extensions

Iwasawa theory and ranks of elliptic curves in quadratic twist families

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

Elliptic curves of conductor $2^{m} p$ , quadratic twists, and Watkins' conjecture

On a conjecture of Mazur predicting the growth of Mordell--Weil ranks in $Z_{p}$ -extensions