Elie Studnia

collaborators

3 papers

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.SP2019

Quantum ergodicity for pseudo-Laplacians

Elie Studnia

We prove quantum ergodicity for the eigenfunctions of the pseudo-Laplacian on Riemannian surfaces with finitely many hyperbolic cusps and ergodic geodesic flow.

math.AP2019

Quantum Limits for Harmonic Oscillator

Elie Studnia

In this note we consider high energy eigenfunctions of the harmonic oscillator in $R^{d}$ and prove that any invariant measure on the energy surface can be written as a weak…