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
Sun  Mon  Tue  Wed  Thu  Fri  Sat 

1

2

3

4

5

6

7








8

9

10

11

13

14









15

18

21






22

27

28






29

1

2

3

4







Joey LakerdasGayle, Department of Pure Mathematics, University of Waterloo
"Effectively closed sets  Part I"
Siyuan Lu, McMaster University
"On the regularity of Lagrangian phase equation"
In this talk, I will first introduce the background and motivation for the study of Lagrangian phase equation. I will then discuss my recent work on the regularity of Lagrangian phase equation. In the second part, I will discuss some open problems relating to Lagrangian phase equation.
MC 5417
David Kribs, University of Guelph
"Quantum error correction and operator algebras"
Quantum error correction is a central topic in quantum information science. Its origins as an independent field of study go back more than a quarter century, and it now arises in almost every part of the subject, including in recent years as a key area of focus in the development of new quantum technologies.
Owen Sharpe, Department of Pure Mathematics, University of Waterloo
"Vinogradov's Mean Value Theorem and Bourgain's Discrete Restriction Conjecture"
**Note this seminar will not be held at the usual time**
YuRu Liu, Department of Pure Mathematics, University of Waterloo
"On the multidimensional HilbertKamke problem"
Xuemiao Chen, Department of Pure Mathematics, University of Waterloo
"Bogomolov inequality"
After introducing some necessary basics, we will present Miyaoka's elegant proof of the Bogomolov inequality for slope semistable bundles over projective smooth surfaces.
MC 5403
Adele Padgett, McMaster University
"Regular solutions of systems of Epolynomials"
Sourabhashis Das, Department of Pure Mathematics, University of Waterloo
"Chapter 2 – Algebraic curves"
In this first talk of the learning seminar, we will introduce algebraic curves and present basic facts about these curves which are essential in the study of elliptic curves. In particular, we will talk about the divisor group associated to such curves and discuss certain important results such as the RiemannRoch theorem.
This seminar will be held both online and in person:
Joey LakerdasGayle, Department of Pure Mathematics, University of Waterloo
"Effectively closed sets  Part II"
Jeremy Hume, University of Glasgow
"The Ktheory of a rational function"
This semester there will be a reading seminar on Riemann Surfaces. We'll be using Simon Donaldson's book as a reference.
These seminars are pretty accessible as the only hard prerequisite is some Complex Analysis. Donaldson's exposition is also especially good as he gives a lot of focus on intuition and examples.
The aim of the seminar is to go through the whole book. One chapter each week. Though, we will slow down if we need to.
Dmitry Ryabogin, Kent State University
"On bodies floating in equilibrium in every orientation"
We give a negative answer to Ulam's Problem 19 from the Scottish Book asking is a solid of uniform density which will float in water in every position a sphere? Assuming that the density of water is 1, we show that there exists a strictly convex body of revolution K\subset {\mathbb R^3} of uniform density \frac{1}{2}, which is not a Euclidean ball, yet floats in equilibrium in every orientation.
MC 5501
Owen Sharpe, Department of Pure Mathematics, University of Waterloo
"Diophantine Techniques in Bourgain's Discrete Restriction Conjecture"
We continue the last talk about Bourgain's discrete restriction conjecture, and explain the Diophantine techniques used in the recent progress on the conjecture by Hughes and Wooley.
This seminar will be held both online and in person:
Hanming Liu, Department of Pure Mathematics, University of Waterloo
"Heegaard Floer Homology"
This will be an introduction to Heegaard Floer homology. We will aim to present its definition and state some topological applications.
MC 5403
Gianluca Basso, Université Lyon 1
"Kaleidoscopic groups and the generic point property"
Debanjana Kundu, University of Toronto
"Heuristics for anticyclotomic $\mathbb{Z}_p$extensions"
For an imaginary quadratic field, there are two natural $\mathbb{Z}_p$extensions, the cyclotomic and the anticyclotomic. We'll start with a brief description of Iwasawa theory for the cyclotomic extensions, and then describe some computations for anticyclotomic $\mathbb{Z}_p$ extensions, especially the fields and their class numbers. This is joint work with LC Washington.
This seminar will be held both online and in person
Changho Han, Department of Pure Mathematics, University of Waterloo
"Brief Introduction to General MMP"
Before we dive into the less ventured area of horospherical MMP, it would be nice to first understand how the general MMP works in order to prove MMP results in horospherical settings. In that regard, I will present some motivations behind the definition of MMP singularities, and give a general overview of the general MMP.
This seminar will be held jointly online and in person:
Leo Jimenez, Department of Pure Mathematics, University of Waterloo
"Not pfaffian"
James Freitag has shown that the jfunction is not Pfaffian using the model theory of differentially closed fields. We will work though his paper, entitled "Not pfaffian".
MC 5417
Francisco Villacis, Department of Pure Mathematics, University of Waterloo
"Integrable systems on smooth projective toric varieties"
Let X be a smooth projective toric variety of complex dimension n. We can endow X with a symplectic form coming from the FubiniStudy form on projective space. We will show that we have an action of a real ntorus on X which is Hamiltonian and gives rise to an integrable system on X.
This seminar will be held both online and in person:
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.
This week's presenter is Yash Singh, Department of Pure Mathematics, University of Waterloo.
MC 5403
Joey LakerdasGayle, Department of Pure Mathematics, University of Waterloo
"Effectively closed sets  Part III"
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 conclude chapter 2 by discussing some applications of $\Pi^0_1$ classes in computability theory.
MC 5403
Erik Seguin, Department of Pure Mathematics, University of Waterloo
"Amenability and stability for discrete groups"
Ian Hambleton, McMaster University
"Euler Characteristics and 4manifolds"
The topology and total curvature of a Riemann surface is determined by a single integer, the Euler characteristic (Leonhard Euler, 17071783). 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
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.
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"Nearly Kahler 6manifolds have SU(3)structures"
Elliot Kaplan, McMaster University
"Hilbert polynomials for finitary matroids"
David McKinnon, Department of Pure Mathematics, University of Waterloo
"Gaussian integers and gcds"
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.