Elliptic Curves are Everywhere

Alice Silverberg
Department of Mathematics, Ohio State University

Abstract: Elliptic curves can be used to factor integers, and to test whether integers are prime. They were also used in the proof of Fermat's Last Theorem. There are elliptic curves in cell phones, wireless modems, handheld computers, internet microbrowsers, pagers, and smart cards. Some recent new applications of elliptic curves allow 3 parties to share a secret. What are elliptic curves, and why are they so powerful? Find out at this talk.