## Speaker:

Sarah Arpin

## Speaker Link:

## Institution:

University of Colorado

## Time:

Thursday, October 14, 2021 - 10:00am to 11:00am

## Location:

Zoom: https://uci.zoom.us/j/91257486031

Supersingular elliptic curves have seen a resurgence in the past decade with new post-quantum cryptographic applications. In this talk, we will discover why and how these curves are used in new cryptographic protocol. Supersingular elliptic curve isogeny graphs can be endowed with additional level structure. We will look at the level structure graphs and the corresponding picture in a quaternion algebra.