MSB 318: Mathematical Sciences Building, Room 318

The UCF [Mathematics Colloquium](https://sciences.ucf.edu/math/colloquium/), held every Monday from 3:30-4:30 p.m. in MSB 318, offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across various areas of mathematics.

[Sarah Arpin](https://math.vt.edu/people/faculty/arpin-sarah.html), Virginia Tech Department of Mathematics assistant professor, will speak at this week's colloquium on supersingular elliptic curve isogeny graphs.

Abstract: Underlying the security of isogeny-based cryptography are supersingular elliptic curve isogeny graphs. These expansive, well-mixing graphs encode rich geometric information about supersingular elliptic curves over finite fields. In this talk, we take an arithmetic-geometric perspective to explore various graph variants. Along the way, we will uncover how supersingular elliptic curves and their isogeny graphs naturally lend themselves to cryptographic applications.