Date of Graduation

Summer 2021

Degree

Master of Science in Mathematics

Department

Mathematics

Committee Chair

Les Reid

Keywords

elliptic curves, Fermat's last theorem, elliptic curve cryptography, congruent number problem, Hardy-Ramanujan number, elliptic curve factoring

Subject Categories

Algebraic Geometry | Geometry and Topology | Number Theory | Other Mathematics

Abstract

Finding rational points that satisfy functions known as elliptic curves induces a finitely-generated abelian group. Such functions are powerful tools that were used to solve Fermat's Last Theorem and are used in cryptography to send private keys over public systems. Elliptic curves are also useful in factoring and determining primality.

Copyright

© Henry H. Hayden IV

Open Access

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