Brent Johnson graduated Villanova University in the spring of 2014 with a B.S. in Mathematics and he is currently pursuing his Master's degree at Villanova. This paper was completed at the end of a semester long study in elliptic curves. Brent had the opportunity to work with Dr. Robert Styer and Dr. Alice Deanin for two years before finally jumping into the research involved in this paper. The experience gained during those years was greatly influential to his mathematics career, and he is grateful for the mentorship he received. He currently enjoys studying elliptic curves and their application in cryptography, as well as new and exciting cryptographic schemes. Brent enjoys running and spending time with his dogs.


Faculty Sponsors:


Robert Styer, Professor, Department of Mathematics and Statistics, Villanova University


Alice Deanin, Assistant Professor, Department of Mathematics and Statistics, Villanova University