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 2022 · math.NTShow all

3 papers · 2 filters

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…

math.NT2022

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

Jeffrey Hatley, Debanjana Kundu, Antonio Lei +1

Let $O$ be the ring of integers of a finite extension of $Q_{p}$ . We prove two control theorems for fine Selmer groups of general cofinitely generated modules over…

λ-invariant stability in families of modular Galois representations

Polynomials in Fp​[x] which commute under composition

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

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

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