Rylan Gajek-Leonard

activity

20242026

collaborators

4 papers

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

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.NT2024

A bound on the $μ$ -invariants of supersingular elliptic curves

Rylan Gajek-Leonard

Let $E / Q$ be an elliptic curve and let $p$ be a prime of good supersingular reduction. Attached to $E$ are pairs of Iwasawa invariants $μ_{p}^{\pm}$ and $λ_{p}^{\pm}$ which encode…

math.NT2024

Stretching Newton polygons using pure polynomials

Rylan Gajek-Leonard, Uri Tomer

The $p$ -adic Newton polygon is a visual tool that encodes information about the roots and factorization of a polynomial relative to a prime $p$ . In this article, we investigate how…

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

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

A bound on the μ-invariants of supersingular elliptic curves

Stretching Newton polygons using pure polynomials

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

A bound on the $μ$ -invariants of supersingular elliptic curves