Invited Speaker
Andrew Granville
Department of Mathematics
University of Georgia
Athens, GA

The Arithmetic Properties of Binomial Coefficients
Properties of Binomial Coefficients
(QuickTime movie - 1.5M)
Many great mathematicians of the nineteenth century considered problems involving binomial coefficients modulo a prime power (for instance Babbage, Cauchy, Cayley, Gauss, Hensel, Hermite, Kummer, Legendre, Lucas and Stickelberger -- see Dickson). They discovered a variety of elegant and surprising Theorems which are often easy to prove. In this article we shall exhibit most of these results, and extend them in a variety of ways.

About Myself

Born: England
1980-84 Cambridge U , BA & CASM. 1984-87 Queens U, Ph D -- Paulo Ribenboim advisor. 1987-89 U of Toronto, Postdoc. 1989-91 IAS Princeton, Postdoc.
Inspirations: Geoffrey Boycott, Sun Yat-Sen, Gerald Depardieu and Sharon Stone.
What if?...: My undergraduate years were spent enjoying many of the things that one misses out on in a single sex boarding school. Besides that I played a lot of representative rugby, hockey, soccer and cricket. Thus I have no real math history from those days (in fact I only achieved a `second-class' degree). Indeed, Richard Taylor (now famous for his part in the proof of FLT) was my classmate as an undergraduate yet we did not meet, as far as either of us recall, even once during those four years, since he did math then, and I didn't. Maybe if I'd done some math then ...
Comments: Success: doing well, but not taking yourself too seriously (i.e. not me).