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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Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"Decomposition of curvature tensor for metrics with torsion"
I will first review the classical decomposition of the Riemann curvature tensor into scalar, traceless Ricci, and Weyl curvature, with an emphasis on special features in dimensions 3 and 4. Then I will consider the more general case of a metric compatible connection with torsion, and see how this decomposition generalizes.
Shuo Gao, Department of Pure Mathematics, University of Waterloo
"Introduction to Elementary Sieve"
This talk aims at introducing sieve theory in an elementary way. Sieve problem and two elementary sieves  larger sieve and square sieve  will be discussed in detail, as well as their applications and a broad overview of the historical development of sieve theory. Some standard results including the Mobius inversion formula will also be covered in this talk to make the proof selfcontained.
Jason Siefken, University of Toronto
"Onboarding Instructors to an Active Learning Class"
Shayla Redlin, Department of Combinatorics & Optimization, University of Waterloo
"Counting Antichains in the Boolean Lattice"
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
Last time we reviewed the classical decomposition of the Riemann curvature tensor into scalar, traceless Ricci, and Weyl curvature. This time we will examine special features in dimensions 3 and 4. Then I will consider the more general case of a metric compatible connection with torsion, and see how this decomposition generalizes.
Katarina Spasojevic, USRA, Department of Pure Mathematics, University of Waterloo
Sean Monahan, Department of Pure Mathematics, University of Waterloo
"An introduction to toric varieties"
Toric varieties are a special kind of variety equipped with a group action from an algebraic torus. These varieties are very nice to work with because they have a combinatorial interpretation involving polyhedral geometry. I will (very quickly) introduce toric varieties and focus on some concrete examples.
The seminar will meet on Zoom.
Meeting ID: 811 2094 8164
Passcode: 033003
Ping Zhong, University of Wyoming
The Brown measure was introduced by L.G. Brown in 1983. It is a generalized notion of spectral measure which applies to nonnormal operators living in a suitable noncommutative probability framework  the framework of a socalled W*probability space. The purpose of this learning seminar is to provide an accessible entry point to the notion of Brown measure, with an eye towards becoming able to do calculations of Brown measures in examples which come from free probability.
Nolan Pyott, Department of Pure Mathematics, University of Waterloo
"Counting Irreducible Polynomials with the Turán Sieve"
Shengda Hu, Wilfrid Laurier University
"Curvature for connections in generalized geometry"
We continue with the discussion on generalized connections on a Riemannian manifold, discuss the curvature identities and generalize holomorphic bundle over a generalized Kahler manifold.
Zoom meeting:
Meeting ID: 958 7361 8652 Passcode: 577854Sean Fitzpatrick, University of Lethbridge
"How using OER made me a better teacher"
I began working with open educational resources (OER) not long after my arrival at the University of Lethbridge. There were two immediate appeals: affordability (I could provide a textbook to students at no cost) and adaptability (I could edit the source to get the textbook I wanted). When the only commercial textbook we could find for a new course was over $300, I knew it was time to consider OER.
Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo
"Divisors and line bundles"
In this talk, we will discuss the relationship between divisors and line bundles on complex varieties. We will, in particular, compare the divisor class group $Cl(X)$ and the Picard group $Pic(X)$ of a complex variety $X$, which classify divisors and line bundles up to equivalence, respectively. We will also give explicit examples and, time permitting, describe $Div(X)$ and $Pic(X)$ in the case where $X$ is a toric variety.
David McKinnon, Department of Pure Mathematics, University of Waterloo
"Arithmetic Geometry Learning Seminar organisational meeting"
We’re going to study something related to the proof of Fermat’s Last Theorem, having to do with solving Diophantine equations. Come to the first meeting to help us figure out exactly what that will be!
Place: Zoom
Ping Zhong, University of Wyoming
The meetings of this learning seminar will continue on Tuesday afternoons, 2:304 pm, on Zoom. The plan for the next meeting is to wrapup the discussion about the FugledeKadison determinant and to move on towards the definition of the Brown spectral measure associated to an element of a W*probability space.
The seminar will meet on Zoom.
Meeting ID: 913 2631 2873 Passcode: 581735Shengda Hu, Wilfrid Laurier University
"Curvature of generalized holomorphic bundles"
We continue with the discussion on generalized connections on a Riemannian manifold. We will discuss properties of curvatures on generalized holomorphic vector bundles over a generalized Kahler manifold and generalized analogues of classical notions.
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 coordinated within our Office of Indigenous Relations.