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
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Jérémy Champagne, Department of Pure Mathematics, University of Waterloo
"Interesting results in equidistribution theory"
An infinite sequence is equidistributed in an interval if the "proportion" of its points lying in any given subinterval corresponds roughly to the length of the subinterval. In a sense, this can be regarded as an "almost randomness" property, and sometimes shows up naturally in analytic number theory.
Yunhai Xiang, Department of Pure Mathematics, University of Waterloo
"Introduction to derived categories"
Spiro Karigiannis, Department of Mathematics, University of Waterloo
"Cohomologies on almost complex manifolds and their applications"
Changho Han, Department of Pure Mathematics, University of Waterloo
"Divisors and line bundles on horospherical varieties"
Using the presentation of horospherical varieties as coloured fans, I will present how to describe Borelinvariant Weil and Cartier divisors combinatorically. Then I will give a description of the Picard group of horospherical varieties and detect geometric properties of them.
This seminar will be held jointly online and in person:
Jiasheng Teh, McMaster University
"On moduli spaces of Ricciflat 4manifolds"
Rahim Moosa, Department of Pure Mathematics, University of Waterloo
"When any two solutions are independent"
Kieran Mastel, Department of Pure Mathematics, University of Waterloo
"Surreal Numbers and Games"
Francisco Villacis, Department of Pure Mathematics, University of Waterloo
"An Introduction to GromovWitten Invariants and Quantum Cohomology"
Christopher Lang, Department of Pure Mathematics, University of Waterloo
"Hyperbolic Monopoles with Continuous Symmetries"
We examine hyperbolic monopoles with continuous symmetries and develop a structure theorem which generates spherically symmetric hyperbolic monopoles. To do this, we modify the steps laid out in a collaborative paper of mine wherein we proved a similar structure theorem for Euclidean monopoles. We discuss how these steps may be applied to other gauge theoretic objects.
Xinyue (Cynthia) Xie & Layth AlHellawi, Department of Pure Mathematics, University of Waterloo
"Effectiveness Properties of Walker's Cancellation Theorem  Part I"
Changho Han, Department of Pure Mathematics, University of Waterloo
"Divisors and line bundles on horospherical varieties II"
Ty Ghaswala, CEMC, University of Waterloo
"Boundary Dehn twists are excellent!"
Barbara Csima, Department of Pure Mathematics, University of Waterloo
"Degrees of Categoricity"
A degree of categoricity is a Turing degree that exactly captures the complexity of computing isomorphisms between computable copies of some computable structure. In this talk I will start by giving some easy examples of degrees of categoricity. I will then give a review of what is known about degrees of categoricity, culminating in new results (joint work with Dino Rossegger).
Yash Totani, Department of Pure Mathematics, University of Waterloo
"A function field analogue of Landau's theorem"
A famous theorem of Landau classifies the numbers which can be written as the sum of two squares and provides the asymptotic density of such numbers in the set of integers. In this talk, we will be looking at a function field analogue due to Soroker, Smilansky and Wolf.
This seminar will be held jointly online and in person:
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
Xinyue (Cynthia) Xie & Layth AlHellawi, Department of Pure Mathematics, University of Waterloo
"Effectiveness properties of the Walker's Cancellation Theorem  Part II"
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:
Sung Gi Park, Harvard University
"Kodaira dimension and hyperbolicity for smooth families of varieties"
Patrick Speissegger, McMaster University
"The real Gamma and Zeta functions are jointly ominimal"
Jenna Rajchgot, McMaster University
"Symmetric quivers and symmetric varieties"
Aiden Suter, Department of Pure Mathematics, University of Waterloo
"A brief overview of algebraic Fedosov quantization"
Brady Ali Medina, Department of Pure Mathematics, University of Waterloo
"Lifting a coHiggs field to a Poisson structure"
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 :
Xinyue (Cynthia) Xie & Layth AlHellawi, Department of Pure Mathematics, University of Waterloo
"Effectiveness properties of the Walker's Cancellation Theorem  Part III"
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:
Daniel Alvarez, University of Toronto
"On generalized Kähler structures and Lie brackets"
Brady Ali Medina, Department of Pure Mathematics, University of Waterloo
"Sidon Sets"
Catherine Pfaff, Queen's University
"Deformation Spaces, RTrees, & What Happens When You Iterate a Free Group Automorphism"
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.
Dongshu Dai, Department of Pure Mathematics, University of Waterloo
"Tropical Curves and Where to Find Them"
Michael Albanese, Department of Pure Mathematics, University of Waterloo
"Almost Complex FourManifolds with no Complex Structure"
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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.