Freedom is a powerful incentive to do the best we can. As I can attest from examples in my own work, it sometimes leads to dead ends, but that is a small price to pay.
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...
It has been said that the goals of modern mathematics are
reconstruction and development.1 The unifying conjectures between
number theory and representation theory that Robert Langlands,
Professor Emeritus in the School of Mathematics, articulated...
