Irving Calder'on

activity

20222024

collaborators

3 papers

math.SP2024

Spectral gap for random Schottky surfaces

Irving Calderón, Michael Magee, Frédéric Naud

We establish a spectral gap for resonances of the Laplacian of random Schottky surfaces, which is optimal according to a conjecture of Jakobson and Naud.

math.SP2023

Explicit spectral gap for Schottky subgroups of $SL (2, Z)$

Irving Calderón, Michael Magee

Let $Γ$ be a Schottky subgroup of $SL (2, Z)$ . We establish a uniform and explicit lower bound of the second eigenvalue of the Laplace-Beltrami operator of congrue…

math.NT2022

$S$ -integral quadratic forms and homogeneous dynamics

Irving Calderón

Let $S = {\infty} \cup S_{f}$ be a finite set of places of $Q$ . Using homogeneous dynamics, we establish two new quantitative and explicit results about integral quadrat…

Spectral gap for random Schottky surfaces

Explicit spectral gap for Schottky subgroups of SL(2,Z)

S-integral quadratic forms and homogeneous dynamics

Explicit spectral gap for Schottky subgroups of $SL (2, Z)$

$S$ -integral quadratic forms and homogeneous dynamics