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
Andrej Vukovic, Carleton University
“Enumerative Combinatorics and the Geometry of Number”
In the early 1900s, a versatile class of problem-solving technqiues known as the ”geometry of numbers” (or in a recent reincarnation, ”arithmetic geometry”) emerged that has proved essential to research in analytic number theory, algebraic geometry, and enumerative combinatorics. I will explain some elementary but nontrivial tricks of this sort, motivating them by their application to counting things. On the way, we will touch on a few modern areas of research, such as the theory of elliptic curves and string theory. If you like (asymptotically) finding the number of lattice points inside a circle, or counting the number of elements of some space of matrices (mod p), this is the talk for you!
MC 5403
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.