Date of Graduation
Summer 2021
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Les Reid
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.
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
Copyright
© Henry H. Hayden IV
Recommended Citation
Hayden, Henry H. IV, "Elliptic curves and their Practical Applications" (2021). MSU Graduate Theses. 3656.
https://bearworks.missouristate.edu/theses/3656
Open Access
Included in
Algebraic Geometry Commons, Geometry and Topology Commons, Number Theory Commons, Other Mathematics Commons
