Samuel Velasco/Quanta Magazine
Mathematicians have long been interested in quantifying and classifying various properties of these curves. The most prominent result to date is Andrew Wilesâ famed 1994 proof of Fermatâs Last Theorem, a question about which equations have solutions that are whole numbers. The proof relied heavily on the study of elliptic curves. In general, mathematicians focus on elliptic curves because they occupy the sweet spot of inquiry: Theyâre not easy enough to be trivial and not so hard that theyâre impossible to study.
âElliptic curves are still mysterious enough that theyâre generating new math all the time,â said Matt Baker, a mathematician at the Georgia Institute of Technology.