## 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

Monday, January 30, 2023 — 2:30 PM EST

**Ian Hambleton, McMaster University**

**"Euler Characteristics and 4-manifolds"**

The topology and total curvature of a Riemann surface is determined by a single integer, the Euler characteristic (Leonhard Euler, 1707-1783). In dimension four and higher, the Euler characteristic gives an interesting invariant for finitely presented groups. The talk will survey some recent joint work with Alejandro Adem on this theme.

MC 5501

Tuesday, January 31, 2023 — 10:00 AM EST

**Jeremy Champagne, Department of Pure Mathematics, University of Waterloo**

**"Geometry of numbers as a tool for Diophantine approximation"**

Anybody who has taken a course on algebraic number theory, has probably seen *Minkowski's convex body theorem* as a mean to prove the finiteness of class groups. However, less people know about *Minkowski's second convex body theorem*, which gives much more insight into this problem of finding integer points with certain properties.

Tuesday, January 31, 2023 — 2:30 PM EST

**Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo**

**"Nearly Kahler 6-manifolds have SU(3)-structures"**

Tuesday, January 31, 2023 — 2:30 PM EST

**Elliot Kaplan, McMaster University**

**"Hilbert polynomials for finitary matroids"**

Tuesday, January 31, 2023 — 3:30 PM EST

**David McKinnon, Department of Pure Mathematics, University of Waterloo**

**"Gaussian integers and gcds"**

Wednesday, February 1, 2023 — 11:00 AM EST

**Changho Han, Department of Pure Mathematics, University of Waterloo**

**"A Brief Introduction to the General MMP Part 2"**

Continuing from where we left off last time, I will discuss singularities of the MMP. Then, I will give a brief explanation of how the higher-dimensional MMP works; note that there will be some key differences from the surface case, including flips.

This seminar will be held jointly online and in person:

Wednesday, February 1, 2023 — 1:00 PM EST

**Leo Jimenez, Department of Pure Mathematics, University of Waterloo**

**"Not pfaffian, Part II"**

James Freitag has shown that the j-function is not Pfaffian using the model theory of differentially closed fields. We will work though his paper, entitled "Not pfaffian".

MC 5417

Thursday, February 2, 2023 — 10:00 AM EST

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

**"Dual Isogenies, the Weil Pairing, and the Structure of Endomorphism Rings"**

We conclude our review of the geometry of elliptic curves by studying dual isogenies. This allows us to prove important results on torsion elements on elliptic curves, culminating in the construction of the Weil pairing and the algebraic structure of rings of isogenies.

MC 5403

Thursday, February 2, 2023 — 2:30 PM EST

**Michael Albanese, Department of Pure Mathematics, University of Waterloo**

**"Spin^h and further generalisations of spin"**

Friday, February 3, 2023 — 3:00 PM EST

**Robert Martin, University of Manitoba**

**"Non-commutative measure theory"**

Friday, February 3, 2023 — 4:30 PM EST

**Sean Monahan, Department of Pure Mathematics, University of Waterloo**

**" Spot it! and why it! (works)"**

Do you like to play games? Can you easily distinguish different shapes? Are you at least 6 years old? Well then I've got the perfect game for you! It's called *Spot it! *(or *Dobble* if you're not from 'Merica). Fundamentally, the game is about quickly spotting the common symbol displayed on a given pair of cards. In this talk we will see the math behind why this game works. Spoiler: it's projective geometry!

Monday, February 6, 2023 — 2:30 PM EST

**Ronnie Nagloo, University of Illinois at Chicago**

**"Applications of model theory to functional transcendence"**

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.