The UCF Mathematics 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, 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.
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