## 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

Thursday, December 15, 2022 — 2:30 PM EST

**Hongyi Liu, University of California, Berkeley**

**"A compactness theorem for hyperkähler 4-manifolds with boundary"**

Thursday, December 8, 2022 — 4:30 PM EST

**Rian Neogi, Combinatorics & Optimization, University of Waterloo**

**"The Birth of Computation"**

In 1928, Hilbert posed the Entscheidungsproblem, which is informally stated as follows: "Given a mathematical statement, is there a well-defined procedure by which one can decide whether the statement is true or false?". This is a natural question for mathematicians to ask. Essentially the question asks whether one can solve mathematical problems in some automatic and structured manner, or must we rely on human insight, wit and intuition?

Thursday, December 8, 2022 — 2:30 PM EST

**Adrian Zahariuc, University of Windsor**

**"Configurations of points modulo translation"**

Tuesday, December 6, 2022 — 4:00 PM EST

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

**"Galois theory and the Jugendtraum"**

The talk will be a gentle introduction to Galois theory and the problem of abelian extensions of number fields known as Kronecker's Jugendtraum. We also focus on a particular case of this problem which will showcase a remarkable connection with elliptic curves.

MC 5501

Tuesday, December 6, 2022 — 2:00 PM EST

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

**"A proof of the Newlander-Nirenberg Theorem"**

Thursday, December 1, 2022 — 2:30 PM EST

**Eric Riedl, University of Notre Dame**

**"Plane curves, log tangent sheaves and the Geometric Lang-Vojta Conjecture"**

Thursday, December 1, 2022 — 1:00 PM EST

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

**Local structure results and toroidal horospherical varieties**

I plan to talk about some local structure results for horospherical varieties, and look at the special case of so-called “toroidal” horospherical varieties. As of right now, this should be the last talk of the semester; we plan to continue next term (possibly at a new time/location).

This seminar will be held jointly online and in person:

Thursday, December 1, 2022 — 10:30 AM EST

**Xinyue (Cynthia) Xie & Layth Al-Hellawi, Department of Pure Mathematics, University of Waterloo **

**"Effectiveness properties of the Walker's Cancellation Theorem - Part IV"**

Tuesday, November 29, 2022 — 2:00 PM EST

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

**"Almost Complex Four-Manifolds with no Complex Structure"**

Tuesday, November 29, 2022 — 12:30 PM EST

**Dongshu Dai, Department of Pure Mathematics, University of Waterloo**

**"Tropical Curves and Where to Find Them"**

Tuesday, November 29, 2022 — 10:00 AM EST

**James Houle, Department of Pure Mathematics, University of Waterloo**

**"Brun's Sieve and it's applications to the Twin Prime Conjecture"**

For hundreds, if not thousands of years, people have been trying to work out whether or not the Twin Prime Conjecture is true. However, it wasn't until the early 1900s when Viggo Brun introduced his sieve that real progress towards the conjecture was made. This talk will introduce Brun's Sieve and use it to show some of the earliest steps that were made towards proving the Twin Prime Conjecture.

Monday, November 28, 2022 — 2:30 PM EST

**Catherine Pfaff, Queen's University**

**"Deformation Spaces, R-Trees, & What Happens When You Iterate a Free Group Automorphism"**

Thursday, November 24, 2022 — 4:30 PM EST

**Brady Ali Medina, Department of Pure Mathematics, University of Waterloo**

**"Sidon Sets"**

Thursday, November 24, 2022 — 2:30 PM EST

**Daniel Alvarez, University of Toronto**

**"On generalized Kähler structures and Lie brackets"**

Thursday, November 24, 2022 — 1:00 PM EST

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

**"The canonical divisor and properties of Cartier divisors for horospherical varieties"**

We will discuss criteria for Cartier divisors to be base point free or ample. We will also give a formula for the canonical divisor. We will include many examples.

This seminar will be held jointly online and in person:

Thursday, November 24, 2022 — 10:30 AM EST

**Xinyue (Cynthia) Xie & Layth Al-Hellawi, Department of Pure Mathematics, University of Waterloo**

**"Effectiveness properties of the Walker's Cancellation Theorem - Part III"**

Tuesday, November 22, 2022 — 2:30 PM EST

**Julie Desjardins, University of Toronto Mississauga**

**"Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one"**

The blow up of the anticanonical base point on X, a del Pezzo surface of degree 1, gives rise to a rational elliptic surface E with only irreducible fibers. The sections of minimal height of E are in correspondence with the 240 exceptional curves on X. A natural question arises when studying the configuration of those curves :

Tuesday, November 22, 2022 — 2:00 PM EST

**Brady Ali Medina, Department of Pure Mathematics, University of Waterloo**

**"Lifting a co-Higgs field to a Poisson structure"**

Tuesday, November 22, 2022 — 12:30 PM EST

**Aiden Suter, Department of Pure Mathematics, University of Waterloo**

**"A brief overview of algebraic Fedosov quantization"**

Monday, November 21, 2022 — 2:30 PM EST

**Jenna Rajchgot, McMaster University**

**"Symmetric quivers and symmetric varieties"**

Friday, November 18, 2022 — 10:30 AM EST

**Patrick Speissegger, McMaster University**

**"The real Gamma and Zeta functions are jointly o-minimal"**

Thursday, November 17, 2022 — 2:30 PM EST

**Sung Gi Park, Harvard University**

**"Kodaira dimension and hyperbolicity for smooth families of varieties"**

Thursday, November 17, 2022 — 1:00 PM EST

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

**"The canonical divisor and properties of Cartier divisors for horospherical varieties"**

We will discuss criteria for Cartier divisors to be base point free or ample. We will also give a formula for the canonical divisor. We will include many examples.

This seminar will be held jointly online and in person:

Thursday, November 17, 2022 — 10:30 AM EST

**Xinyue (Cynthia) Xie & Layth Al-Hellawi, Department of Pure Mathematics, University of Waterloo**

**"Effectiveness properties of the Walker's Cancellation Theorem - Part II"**

Tuesday, November 15, 2022 — 2:00 PM EST

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

**"Betti numbers of nearly G2 manifolds"**

On a Riemannian manifold there is a Weitzenböck identity which is a relationship between the Laplacian, the Bochner Laplacian and the curvature. We will consider this formula in the nearly G_2 setting and see how bounds on the Weyl Tensor or Sectional Curvature can give us certain information about the Betti numbers.

MC 5403

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.