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
In my talk I present results from the joint paper [1]. We prove that the intersection G ∩ A of an infinite geometric progression
“Semisimple Lie Algebras”
We will discuss a technique which allows one to approximate singular varieties by smooth spaces called stacks. As an application, we will address the following question, as well as some generalizations: given a linear action of a group G on complex n-space C^n, when is the quotient C^n/G a singular variety? We will also mention some applications to Hodge theory and to derived equivalences.
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.
The study of periods of automorphic forms using the theta correspondence
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.
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.