## 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

Wednesday, July 22, 2020 — 4:30 PM EDT

**Adam Humeniuk, Department of Pure Mathematics, University of Waterloo**

"Generatingfunctionology: basics and approximation"

A generating function is a device for studying a sequence by trapping it in the coefficients of a power series. I'll give a brief crash course on "generatingfunctionology", and show you how to write down the generating function of Fibonacci numbers. This gives, for instance, an exact formula for the nth Fibonacci number. We don’t usually care whether the series converges, and work in the setting of “formal” power series.

Tuesday, July 21, 2020 — 10:00 AM EDT

**Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo**

"Recurrence in Algebraic Dynamics"

Let $\varphi:X\dashrightarrow X$ is a rational mapping of an algebraic variety $X$ defined over $\C$. The *orbit* of a point $x\in X$ is the sequence $\{x,\varphi(x),\varphi^2(x),\ldots\}$. Our basic question is: how often does this orbit intersect a given closed set $C$? Thus we are interested in the *return set*

\[ E := \{n\geq 0 : \varphi^n(x)\in C\}. \]

Wednesday, July 15, 2020 — 9:30 AM EDT

**Ertan Elma, Department of Pure Mathematics, University of Waterloo**

"Some Problems in Multiplicative and Additive Number Theory"

Online

Tuesday, July 14, 2020 — 1:00 PM EDT

**Sam Kim, Department of Pure Mathematics, University of Waterloo**

"Operator Systems, Crossed Products, and Correlation Sets"

Friday, July 10, 2020 — 2:30 PM EDT

**Jason Lotay, University of Oxford**

"Lagrangian mean curvature flow and the Gibbons-Hawking ansatz"

University 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

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

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.