Jeffrey Hatley

activity

20092026

most citedComparing anticyclotomic Selmer groups of positive coranks for congruent modular forms -- Part II

10 citations · 33 across the 18 of their papers we have counts for

collaborators

19 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.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…

math.NT2022★ 1 cited

$λ$ -invariant stability in families of modular Galois representations

Jeffrey Hatley, Debanjana Kundu

Consider a family of modular forms of weight 2, all of whose residual $(mod p)$ Galois representations are isomorphic. It is well-known that their corresponding Iwasawa $λ$ -invari…

math.NT2022

Polynomials in $F_{p} [x]$ which commute under composition

Jeffrey Hatley, Mayah Teplitskiy

Let $F$ be a finite field and let $f$ be a linear polynomial in $F [x]$ . We investigate the number of polynomials of degree $d$ which commute with $f$ under compos…

Distinguishing elliptic curves modulo p and identifying images of product representations

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

λ-invariant stability in families of modular Galois representations

Polynomials in Fp​[x] which commute under composition

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

$λ$ -invariant stability in families of modular Galois representations

Polynomials in $F_{p} [x]$ which commute under composition