Jeffrey Hatley

activity

20092026

most cited

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-invariant stability in families of modular Galois representations

1 citations · 1 across the 8 of their papers we have counts for

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3 papers · 1 filter

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…

math.NT2024

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…

Iwasawa theory and ranks of elliptic curves in quadratic twist families

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

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