## 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, August 18, 2021 — 3:00 PM EDT

**Dan Ursa, Department of Pure Mathematics, University of Waterloo**

"The Ideal Intersection Property for Essential Groupoid C*-Algebras"

Wednesday, August 18, 2021 — 11:00 AM EDT

**Spencer Whitehead, Department of Pure Mathematics, University of Waterloo**

"Symmetric Instantons"

Monday, August 16, 2021 — 1:30 PM EDT

**Andean Medjedovic, University of Waterloo**

"Exact Formulas for Averages of Secular Coefficients"

We present formulas for averages, over the classical compact groups, of the coefficients of powers of characteristic polynomials. The study of these coefficients was motivated by connections with analogous problems in number theory dealing with averages of divisor sums over short intervals.

Zoom meeting:

Monday, August 16, 2021 — 11:00 AM EDT

**Eric Boulter, Department of Pure Mathematics, University of Waterloo**

*"*Introducing Hilbert Schemes of Points"

Friday, August 13, 2021 — 9:00 AM EDT

**Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo**

"F-automatic sets"

Wednesday, August 11, 2021 — 3:00 PM EDT

**Jacob Campbell, Department of Pure Mathematics, University of Waterloo**

"Finite free convolutions"

Wednesday, August 11, 2021 — 10:00 AM EDT

**Brett Nasserden, Department of Pure Mathematics, University of Waterloo**

"Applications of the minimal model program in arithmetic dynamics"

Arithmetic dynamics is a rapidly growing field of mathematics that lies in the intersection of algebraic geometry, number theory and complex dynamics. Many interesting number theoretic problems admit a dynamical generalization. Understanding this dynamical generalization can shed new light on the original problem while also leading to new and interesting challenges in arithmetic and geometry.

Wednesday, August 11, 2021 — 9:00 AM EDT

**Spencer Gao, Department of Pure Mathematics, University of Waterloo**

"Classification of Simple Complex Lie Algebra"

Monday, August 9, 2021 — 11:00 AM EDT

**Nicholas Banks, Department of Pure Mathematics, University of Waterloo**

"Galois Actions on Surfaces of Small Picard Rank"

Monday, August 9, 2021 — 10:30 AM EDT

**Aasiamani (Mani) Thamizhazhagan, Department of Pure Mathematics, University of Waterloo**

"On the structure of invertible elements in certain Fourier-Stieltjes algebra"

Monday, August 9, 2021 — 10:00 AM EDT

**Patrick Naylor, Department of Pure Mathematics, University of Waterloo**

"Trisections of non-orientable 4—manifolds"

Wednesday, August 4, 2021 — 3:00 PM EDT

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

"Jensen's Inequality for separately convex noncommutative functions"

Wednesday, August 4, 2021 — 12:30 PM EDT

**Nicholas Kayban, Department of Pure Mathematics, University of Waterloo**

"Riemannian Submersions and the O'Neill Tensors"

Wednesday, August 4, 2021 — 11:00 AM EDT

**Caleb Suan, Department of Pure Mathematics, University of Waterloo**

"Monogenic Forms and Decomposition of Spinor-Valued Forms"

In this talk, we follow the text by Delanghe, Sommen, and Souček and demonstrate a splitting of the space of spinor-valued forms. We describe some important operators and their identities as well as properties of the exterior covariant derivative when restricted to certain subspaces of spinor-valued forms. Time permitting, we will define monogenic forms and some of their homological properties.

Zoom meeting:

Wednesday, August 4, 2021 — 9:00 AM EDT

**Nolan Pyott, Department of Pure Mathematics, University of Waterloo**

"How Prime Gaps Were Bounded"

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 Indigenous Initiatives Office.