Richard Taylor, Robert and Luisa Fernholz Professor in the School of Mathematics, first came to the Institute as a Member in 2010 and joined the Faculty in 2012. Taylor is a leader in number theory who, with his collaborators, has developed powerful new techniques that they have used to solve important longstanding problems.
Modular arithmetic has been a major concern of mathematicians
for at least 250 years, and is still a very active topic of current
research. In this article, I will explain what modular arithmetic
is, illustrate why it is of importance for...
One of the oldest subjects in mathematics is the study of
Diophantine equations, i.e., the study of whole number (or
fractional) solutions to polynomial equations. It remains one of
the most active areas of mathematics today. Perhaps the most