Publication Year

2002

Keywords

Mathematics, cryptography, elliptic curves, geometry

Disciplines

Applied Mathematics | Mathematics

Abstract

Elliptic curves, not to be confused with ellipses, were given their name because of their relationship with integrals used to calculate the arc length of ellipses...and which are called elliptic integrals. Elliptic curves have been studied extensively over the past 150 years in the areas of number theory and algebraic geometry. Although elliptic curves were initially studied because of their curious attributes, they have recently been applied to various areas within mathematics, such as the devising of algorithms for factoring integers, proving primality, and in Andrew Wiles' recent proof of Fermat's Last Theorem. In addition to these areas, a application of elliptic curves in cryptography has also developed.

Department 1 Awarding Honors Status

Mathematics

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