Date of Graduation
Master of Science in Mathematics
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.
elliptic curves, Fermat's last theorem, elliptic curve cryptography, congruent number problem, Hardy-Ramanujan number, elliptic curve factoring
Algebraic Geometry | Geometry and Topology | Number Theory | Other Mathematics
© Henry H. Hayden IV
Hayden, Henry H. IV, "Elliptic curves and their Practical Applications" (2021). MSU Graduate Theses. 3656.