Elie Studnia

activity

20192026

most citedQuantum Limits for Harmonic Oscillator

4 citations · 6 across the 6 of their papers we have counts for

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6 papers · 1 filter

math.NT2026

Arithmetic intersections on non-split Cartan modular curves

Jonathan Love, Elie Studnia, Jan Vonk

Let $p$ be a prime number, and let $Δ_{1}, Δ_{2} < 0$ be two coprime fundamental discriminants. When $p$ splits in $Q (Δ_{1})$ and $Q (Δ_{2})$ the height pairi…

math.NT2025

Congruences modulo $23$ to $y^{2} = x^{3} - 23$ are trivial

Elie Studnia

We say that two elliptic curves $E$ and $F$ over $Q$ are congruent modulo a prime $p$ if their $p$ -torsion Galois modules (over the algebraic closure of $Q$ ) are…

math.NT2025

Compactified moduli spaces and Hecke correspondences for elliptic curves with a prescribed $N$ -torsion scheme

Elie Studnia

Given an integer $N \geq 3$ , we prove that for any ring $R$ and any finite locally free commutative $R$ -group scheme $G$ whose geometric fibres are isomorphic to the $N$ -torsion su…

math.NT2025

L-functions and rational points for Galois twists of modular curves

Elie Studnia

Let $p$ be an odd prime and $E / Q$ be a rational elliptic curve. There is a smooth affine curve $Y_{E} (p)$ whose rational points parametrize elliptic curves $F / Q$ su…

math.NT2024

On obstructions to the Euler system method for Rankin-Selberg convolutions

Elie Studnia

To apply the Euler system method to a $p$ -adic Galois representation $T$ , one needs the existence of a $σ \in G_{Q (μ_{p^{\infty}})}$ such that $V / (σ - 1) V$ is free of rank on…

math.NT2021★ 2 cited

Refined Selmer equations for the thrice-punctured line in depth two

Alex J. Best, L. Alexander Betts, Theresa Kumpitsch +5

In [Kim05], Kim gave a new proof of Siegel's Theorem that there are only finitely many $S$ -integral points on $P_{Z}^{1} ∖ {0, 1, \infty}$ . One advantage of Kim…

Arithmetic intersections on non-split Cartan modular curves

Congruences modulo 23 to y2=x3−23 are trivial

Compactified moduli spaces and Hecke correspondences for elliptic curves with a prescribed N-torsion scheme

L-functions and rational points for Galois twists of modular curves

On obstructions to the Euler system method for Rankin-Selberg convolutions

Refined Selmer equations for the thrice-punctured line in depth two

Congruences modulo $23$ to $y^{2} = x^{3} - 23$ are trivial

Compactified moduli spaces and Hecke correspondences for elliptic curves with a prescribed $N$ -torsion scheme