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A Survey of Diophantine Equations (Edray Goins, Pomona College)

March 27 @ 4:15 pm - 5:30 pm

Title: A Survey of Diophantine Equations

Speaker: ​Edray Herber Goins, Professor of Mathematics and Statistics, Pomona College

Abstract: There are many beautiful identities involving positive integers. For example, Pythagoras knew $3^2 + 4^2 = 5^2$ while Plato knew $3^3 + 4^3 + 5^3 = 6^3$. Euler discovered $59^4 + 158^4 = 133^4 + 134^4$, and even a famous story involving G.~H.~Hardy and Srinivasa Ramanujan involves $1^3 + 12^3 = 9^3 + 10^3$. But how does one find such identities?  Around the third century, the Greek mathematician Diophantus of Alexandria introduced a systematic study of integer solutions to polynomial equations. In this talk, we’ll focus on various types of so-called Diophantine Equations, discussing such topics as Pythagorean Triples, Pell’s Equations, Elliptic Curves, and Fermat’s Last Theorem.

Edray Herber Goins is Professor of Mathematics and Statistics at Pomona College. He has worked as a researcher at both Harvard and the National Security Agency; and has taught at both Caltech and Purdue. Professor Goins has published over 25 journal articles in areas such as applied mathematics, graph theory, number theory, and representation theory; and on topics such as Diophantine equations, elliptic curves, and African Americans in mathematics. He has given nearly 300 invited addresses on his research, acted as a referee for nearly 20 different journals in mathematics, served on dozens of panels for the National Science Foundation (NSF), and been awarded more than $1,370,000 in external funding.  Goins currently maintains the website “Mathematicians of the African Diaspora (MAD Pages)”, and runs a federally-funded Research Experience for Undergraduates (REU) titled Pomona Research in Mathematics Experience (PRiME).


March 27
4:15 pm - 5:30 pm
Event Category:


Edray Goins
Bahar Acu


Argue Auditorium, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
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