Antonio Lei

activity

20232026

most citedOn towers of Isogeny graphs with full level structure

2 citations · 3 across the 12 of their papers we have counts for

collaborators

13 papers

math.NT2026

Kolyvagin's conjecture at non-ordinary primes

Antonio Lei, Luochen Zhao

Let $K$ be an imaginary quadratic field and let $p \geq 5$ be a prime that is unramified in $K$ . Let $A_{f} / Q$ be an abelian variety of $GL_{2}$ -type associa…

math.NT2026

A canonical construction of signed $p$ -adic $L$ -functions for non-ordinary modular forms of weight $\leq p + 1$

Rylan Gajek-Leonard, Antonio Lei

Fix an odd prime $p$ and let $f$ be a $p$ -non-ordinary cuspidal eigen-newform of weight $2 \leq k \leq p + 1$ . We construct a pair of bounded $p$ -adic $L$ -functions associated to $f$ b…

math.NT2025

On the maximality of the $λ$ -invariants of Mazur--Tate elements

Antonio Lei, Robert Pollack, Naman Pratap

Let $E$ be an elliptic curve with good ordinary reduction at an odd prime $p$ . Assuming that Greenberg's $μ = 0$ conjecture holds, we show that the $λ$ -invariants of the Mazur--Tate…

math.NT2025

On the growth of Tate-Shafarevich groups of $p$ -supersingular abelian varieties of $GL_{2}$ -type over $Z_{p}$ -extensions of number fields

Erman Isik, Antonio Lei

We study the boundedness of the Mordell-Weil rank and the growth of the $v$ -primary part of the Tate-Shafarevich group of $p$ -supersingular abelian varieties of $GL_{2}$ -type w…

math.NT2025

Mazur-Tate elements of non-ordinary modular forms with Serre weight larger than two

Rylan Gajek-Leonard, Antonio Lei

Fix an odd prime $p$ and let $f$ be a non-ordinary eigen-cuspform of weight $k$ and level coprime to $p$ . Assuming $p > k - 1$ , we compute asymptotic formulas for the Iwasawa invariant…

math.NT2025

Congruences of $p$ -adic $L$ -functions of modular forms at non-ordinary primes

Raiza Corpuz, Antonio Lei

We present an analogue of Greenberg-Vatsal's and Emerton-Pollack-Weston's results on congruences of $p$ -adic $L$ -functions for $p$ -non-ordinary cuspidal eigenforms $f$ and $g$ of e…

math.NT2025

Mazur's Growth Number Conjecture in the Rank One Case

Debanjana Kundu, Antonio Lei

Let $p \geq 5$ be a prime number. Let $E / Q$ be an elliptic curve with good ordinary reduction at $p$ . Let $K$ be an imaginary quadratic field where $p$ splits, and…

math.NT2024★ 1 cited

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic $Z_{p}$ -towers

Antonio Lei, Luca Mastella, Luochen Zhao

Let $p$ be an odd prime number and let $K$ be an imaginary quadratic field in which $p$ is split. Let $f$ be a modular form with good reduction at $p$ . We study the variation of th…

math.NT2024

The growth of Tate-Shafarevich groups of $p$ -supersingular elliptic curves over anticyclotomic $Z_{p}$ -extensions at inert primes

Erman Isik, Antonio Lei

Let $E$ be an elliptic curve defined over $Q$ , and let $K$ be an imaginary quadratic field. Consider an odd prime $p$ at which $E$ has good supersingular reduction with $a…

math.NT2024

Artin formalism for $p$ -adic $L$ -functions of modular forms at non-ordinary primes

Antonio Lei

Let $p$ be an odd prime number. Let $f$ be a normalized Hecke eigen-cuspform that is non-ordinary at $p$ . Let $K$ be an imaginary quadratic field in which $p$ splits. We study the…

math.NT2023

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes II

Ashay Burungale, Kâzım Büyükboduk, Antonio Lei

Let $E / Q$ an elliptic curve with good supersingular reduction at a prime $p \geq 5$ , and $K$ an imaginary quadratic field such that the root number of $E$ over $K$ equals $…

math.NT2023★ 2 cited

On towers of Isogeny graphs with full level structure

Antonio Lei, Katharina Müller

Let $p, q, l$ be three distinct prime numbers and let $N$ be a positive integer coprime to $pq l$ . For an integer $n \geq 0$ , we define the directed graph $X_{l}^{q} (p^{n} N)$ whose vertices a…

math.NT2023

Non-vanishing modulo $p$ of Hecke $L$ -values over imaginary quadratic fields

Debanjana Kundu, Antonio Lei

Let $p$ and $q$ be two distinct odd primes. Let $K$ be an imaginary quadratic field over which $p$ and $q$ are both split. Let $Ψ$ be a Hecke character over $K$ of infinity type $(…

Kolyvagin's conjecture at non-ordinary primes

A canonical construction of signed p-adic L-functions for non-ordinary modular forms of weight ≤p+1

On the maximality of the λ-invariants of Mazur--Tate elements

On the growth of Tate-Shafarevich groups of p-supersingular abelian varieties of GL2​-type over Zp​-extensions of number fields

Mazur-Tate elements of non-ordinary modular forms with Serre weight larger than two

Congruences of p-adic L-functions of modular forms at non-ordinary primes

Mazur's Growth Number Conjecture in the Rank One Case

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic Zp​-towers

The growth of Tate-Shafarevich groups of p-supersingular elliptic curves over anticyclotomic Zp​-extensions at inert primes

Artin formalism for p-adic L-functions of modular forms at non-ordinary primes

Anticyclotomic Iwasawa theory of abelian varieties of GL2​-type at non-ordinary primes II

On towers of Isogeny graphs with full level structure

Non-vanishing modulo p of Hecke L-values over imaginary quadratic fields

A canonical construction of signed $p$ -adic $L$ -functions for non-ordinary modular forms of weight $\leq p + 1$

On the maximality of the $λ$ -invariants of Mazur--Tate elements

On the growth of Tate-Shafarevich groups of $p$ -supersingular abelian varieties of $GL_{2}$ -type over $Z_{p}$ -extensions of number fields

Congruences of $p$ -adic $L$ -functions of modular forms at non-ordinary primes

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic $Z_{p}$ -towers

The growth of Tate-Shafarevich groups of $p$ -supersingular elliptic curves over anticyclotomic $Z_{p}$ -extensions at inert primes

Artin formalism for $p$ -adic $L$ -functions of modular forms at non-ordinary primes

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes II

Non-vanishing modulo $p$ of Hecke $L$ -values over imaginary quadratic fields