Speaker: R. Andrew Cabezas
Candidate for Bachelor of Science in Mathematics
Time: 3:15 PM
Place: Trustee Hall 203
Supervisor: Dr. Michael Saclolo
Title: The Search for a Perfect Rational Cuboid: An Algebro-Geometric Approach

Abstract: It has been proved that rational cuboids — rectangular parallelepipeds with all sides and face diagonals of integer-valued lengths — exist. However, the problem of finding or disproving the existence of a Perfect Rational Cuboid, which is a rational cuboid with the added feature that the body diagonal is also an integer value, is currently an unsolved problem in mathematics. In this study a more algebraic approach to the problem is presented by adapting an algorithm developed by Garrity and Warren for finding the space curve formed by the intersection of two algebraic surfaces.