## 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

Tuesday, February 28, 2023 — 2:30 PM EST

**Paul Cusson, Department of Pure Mathematics, University of Waterloo**

**"Holomorphic maps between Riemann surfaces"**

Tuesday, February 28, 2023 — 2:30 PM EST

**Amador Martin-Pizarro, University of Freiburg**

**"Simplicity of the automorphism group of fields with operators"**

Tuesday, February 28, 2023 — 1:30 PM EST

**Javier González Anaya, University of California at Riverside**

**"Blow-ups of weighted projective planes at a point: Exploring the parameter space of triangles and the MDS property"**

Monday, February 27, 2023 — 2:30 PM EST

**Matilde Lalin, University of Montreal**

**"Sums of the divisor function and random matrix distributions"**

The divisor function gives the number of positive divisors of a natural number. How can we go about understanding the behavior of this function when going over the natural numbers? In this talk we will discuss strategies to better understand this function, issues related to the distribution of these values, and connections to the Riemann zeta function and some groups of random matrices.

MC 5501

Thursday, February 16, 2023 — 4:00 PM EST

**Jason Crann, Carleton University**

**"Values of quantum non-local games"**

Thursday, February 16, 2023 — 2:30 PM EST

**Thomas Brazelton, University of Pennsylvania**

**"Equivariant enumerative geometry"**

Thursday, February 16, 2023 — 10:00 AM EST

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

The intent of this seminar is to cover some of the basic theory of elliptic curves. Our first objective is to cover chapters 2, 3 and 6 from *Joseph Silverman’s* book (*The Arithmetic of Elliptic Curves*). Later in the semester, we will switch our focus towards more specific topics in the theory of elliptic curves.

MC 5403

Wednesday, February 15, 2023 — 2:00 PM EST

**Robert Cornea, Department of Pure Mathematics, University of Waterloo**

**"A basic Introduction to Higgs Bundles and Vafa-Witten Bundles"**

Wednesday, February 15, 2023 — 1:00 PM EST

**Christine Eagles, Department of Pure Mathematics, University of Waterloo**

**"A Note on Geometric Theories of Fields, Part II"**

Will Johnson and Jinhe Ye have shown equivalence conditions on expansions of very slim fields, strongly geometric fields and algebraically bounded fields. As a consequence, we get a one-cardinal results for definable sets and positive dimensional interpretable set. We will work though this paper, entitled "A Note on Geometric Theories of Fields".

MC 5417

Wednesday, February 15, 2023 — 11:00 AM EST

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

**"The effective cone for projective horospherical varieties"**

I will start working through Brion’s paper “Variétés sphériques et théorie de Mori” on spherical MMP. Specifically, I plan to cover the first half of section 3, with emphasis on *horo*spherical varieties. We should at least see what the cone NE(X) looks like for any projective horospherical variety X.

This seminar will be held jointly online and in person:

Tuesday, February 14, 2023 — 2:30 PM EST

****THIS SEMINAR HAS BEEN POSTPONED TO FEBRUARY 28, 2023****

**Paul Cusson, Department of Pure Mathematics, University of Waterloo**

**"Holomorphic maps between Riemann surfaces"**

Tuesday, February 14, 2023 — 2:30 PM EST

**Rachael Alvir, Department of Pure Mathematics, University of Waterloo**

**"Scott Complexity"**

Tuesday, February 14, 2023 — 11:30 AM EST

**J.C. Saunders, Middle Tennessee State University**

**"The Euler Totient Function on Lucas Sequences"**

Tuesday, February 14, 2023 — 10:00 AM EST

**Yash Totani, Department of Pure Mathematics, University of Waterloo**

**"Binary quadratic forms of class number 3"**

Upon providing a historical overview of the theory of binary quadratic forms, we talk about the problem of representing positive integers by some specific binary quadratic forms. We will see how the theory of modular forms comes to our rescue.

MC 5403

Monday, February 13, 2023 — 2:30 PM EST

**Patrick Ingram, York University**

**"Variation of canonical heights in arithmetic dynamics"**

Thursday, February 9, 2023 — 4:00 PM EST

**Camila Sehnem, Department of Pure Mathematics, University of Waterloo**

**"C*-envelopes and semigroup C*-algebras"**

Thursday, February 9, 2023 — 2:30 PM EST

**Luke MacLean, Department of Pure Mathematics, University of Waterloo**

**"Effectively closed sets - Part V"**

An effectively closed set (or $\Pi^0_1$ class) in Baire space $\omega^\omega$ is the set $[T]$ of infinite branches through a computable tree $T$. This semester in the computability seminar, we will be studying $\Pi^0_1$ classes from Cenzer \& Remmel's textbook. This week we will continue proving basis theorems and take a brief detour into Martin-Lof randomness.

MC 5403

Thursday, February 9, 2023 — 2:30 PM EST

**Rasul Shafikov, Western University**

**"Lagrangian embeddings, rational convexity, and approximation"**

A celebrated theorem of Duval and Sibony characterizes rationally convex real submanifolds in complex Euclidean spaces as those isotropic with respect to a Kahler form. I will discuss how the results in symplectic geometry can be used to obtain some new results in the approximation theory.

MC 5417

Wednesday, February 8, 2023 — 3:00 PM EST

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

**"The geometry of G2 manifolds: a marriage of non-associative algebra and non-linear analysis"**

Wednesday, February 8, 2023 — 2:00 PM EST

**Keke Zhang, Department of Pure Mathematics, University of Waterloo**

**"An Introduction to Geometric Langlands"**

We will begin with a discussion of the origin of the Langlands program in number theory, which is class field theory. Then we will give an introduction to the geometric Langlands conjecture. We will show Deligne's proof of the simplest case, which is the statement for GL(1).

This seminar will be held both online and in person:

Wednesday, February 8, 2023 — 1:00 PM EST

**Christine Eagles, Department of Pure Mathematics, University of Waterloo**

**"A Note on Geometric Theories of Fields"**

Will Johnson and Jinhe Ye have shown equivalence conditions on expansions of very slim fields, strongly geometric fields and algebraically bounded fields. As a consequence, we get a one-cardinal results for definable sets and positive dimensional interpretable set. We will work though this paper, entitled "A Note on Geometric Theories of Fields".

MC 5417

Wednesday, February 8, 2023 — 11:00 AM EST

**Matthew Satriano, Department of Pure Mathematics, University of Waterloo**

**"Toric MMP"**

I will discuss the minimal model program for toric varieties.

This seminar will be held jointly online and in person:

Tuesday, February 7, 2023 — 2:30 PM EST

**Anton Iliashenko, Department of Pure Mathematics, University of Waterloo**

**"The third Betti number of nearly Kahler 6-manifolds"**

Tuesday, February 7, 2023 — 2:30 PM EST

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

**"Geometric triviality in differentially closed fields"**

Tuesday, February 7, 2023 — 11:30 AM EST

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

**"Differential equations related to averages of the k-th divisor function"**

Keating, Rodgers, Roditty-Gershon, and Rudnick have given a conjecture for the asymptotic behaviour of the mean square of sums of the $k$-th divisor numbers over short intervals, and have proven formulas for the analogous problem over $\mathbb{F}_q[t]$. I will discuss their work and describe determinantal and differential equations related to their formulas.

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.