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

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Showing 2021 · math.NTShow all

2 papers · 2 filters

math.NT2021★ 5 cited

Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves

Jeffrey Hatley, Debanjana Kundu, Anwesh Ray

We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves, considered over anticyclotomic $Z_{p}$ -extensions in both the definite and ind…

math.NT2021

Two infinite families of elliptic curves with rank greater than one

Jeffrey Hatley, Jason Stack

We prove, using elementary methods, that each member of the infinite families of elliptic curves given by $E_{m} : y^{2} = x^{3} - x + m^{6}$ and $E_{m}^{'} : y^{2} = x^{3} + x - m^{6}$ have ra…