## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Friday, February 14, 2014 — 3:30 PM EST

Thursday, February 13, 2014 — 4:30 PM EST

This talk is a homage to the late Professor Herbert Wilf's book of the same title. We will discuss several elementary counting problems and solve them using generating functional techniques. I will also include several identities that have appeared in my own work as well as in some prominent papers in number theory.

Thursday, February 13, 2014 — 1:30 PM EST

The study of periods of automorphic forms using the theta correspondence

Wednesday, February 12, 2014 — 2:30 PM EST

In the second talk, we'll discuss Skolem's method and the analytic arc theorem as a means of studying the action of the automorphism group on a variety. If time remains, we'll apply this method to show that if X is a surface defined over a number field and X has an automorphism that does not preserve a non-constant fibration then there is a number field K such that the K-points of X are Zariski dense.

Tuesday, February 11, 2014 — 2:30 PM EST

Monday, February 10, 2014 — 4:00 PM EST

Friday, February 7, 2014 — 3:30 PM EST

Friday, February 7, 2014 — 2:30 PM EST

Thursday, February 6, 2014 — 1:30 PM EST

Wednesday, February 5, 2014 — 4:00 PM EST

Wednesday, February 5, 2014 — 2:30 PM EST

Tuesday, February 4, 2014 — 2:30 PM EST

Monday, February 3, 2014 — 4:00 PM EST

Friday, January 31, 2014 — 3:30 PM EST

Friday, January 31, 2014 — 2:30 PM EST

Thursday, January 30, 2014 — 1:30 PM EST

Wednesday, January 29, 2014 — 4:00 PM EST

Tuesday, January 28, 2014 — 4:30 PM EST

We show how basic representation theory can be used to count the fixed points of a set under the action of a cyclic group. This basic representation theory has deep combinatorial applications only recently described as the "cyclic sieving phenomena".

Tuesday, January 28, 2014 — 2:30 PM EST

Friday, January 24, 2014 — 3:30 PM EST

Thursday, January 23, 2014 — 3:30 PM EST

I shall prove that a subpomonoid U of a pomonoid S is closed (in S) iff U is such as a monoid.

Thursday, January 23, 2014 — 1:30 PM EST

It is well known that sharp estimates on the number of rational

points near manifold can lead to solutions of some long standing

Wednesday, January 22, 2014 — 2:30 PM EST

This talk will begin with an introduction to abelian varieties, which are projective varieties having the structure of an abelian group. Abelian varieties of dimension 1 are elliptic curves. Our focus will be on abelian varieties of dimension 2.

Wednesday, January 22, 2014 — 10:30 AM EST

Continuing our discussion of solvable Lie algebras. The intention is to work through a proof of Engel's Theorem on nilpotent algebras. If you weren't there last week, no worries! You didn't miss much.

Monday, January 20, 2014 — 4:00 PM EST

A law is a universally quantified equation, such as the associative law or the commutative law. I intend to talk about the problem of determining which algebras have a finite basis for their laws. Most of my talk will be about the laws of finite algebras.

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1