Supersingular isogeny graphs and Hecke modules with level structure

TL;DR

This paper investigates supersingular isogeny graphs with level structure and their related Galois representations, advancing understanding in algebraic number theory and cryptography.

Contribution

It introduces new insights into the structure of supersingular isogeny graphs with level structure and their Galois representations.

Findings

Characterization of supersingular isogeny graphs with level structure

Analysis of associated Galois representations

New connections between graph structure and number theory

Abstract

We study supersingular isogeny graphs with level structure and their associated Galois representations.