Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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".
I shall prove that a subpomonoid U of a pomonoid S is closed (in S) iff U is such as a monoid.
It is well known that sharp estimates on the number of rational
points near manifold can lead to solutions of some long standing
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.
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.
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.
In showing that finite idempotent algebras generating a congruence meet-semidistributive variety have bounded width, our first step is to reduce the consideration of arbitrary constraint networks to those where the constraints are at most binary.
“The local consistency algorithm and problems of bounded width”
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.