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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Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“The Decanter Method”
Adam Jaffe, Department of Pure Mathematics, University of Waterloo
“Bipartite graphs admitting a kNU polymorphism”
Bahaa Khadda, Department of Pure Mathematics, University of Waterloo
“Classifications of Projections and Types”
We will define the notion of a finite/infinite projection in a von Neumann algebra and explore some basic properties. The classification of projections as finite or infinite will allow for an introduction to types of von Neumann algebras.
Michael Mossinghoff, Davidson College
“Oscillations in sums involving the Liouville function”
Jon Herman, Department of Pure Mathematics, University of Waterloo
“Mechanics on Riemannian Manifolds”
Mitchell Haslehurst, Department of Pure Mathematics, University of Waterloo
“Peano spacefilling curve”
Matthew Wiersma, Department of Pure Mathematics, University of Waterloo
“Exotic group C*algebras, tensor products, and related constructions”
Ivan Todorov, Queens University Belfast
“Norms of vector functionals”
Mengxue Yang, Department of Pure Mathematics, University of Waterloo
“Curvature of Surfaces”
Anton Mosunov, Department of Pure Mathematics, University of Waterloo
“The number of solutions of a Thue equation”
Michael Hartz, Department of Pure Mathematics, University of Waterloo
"NevanlinnaPick spaces and dilations"
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“The Decanter Method (continued)”
Last week we introduced the decanter method, which we used to show that there is no wttcomplete Ktrivial.
Sam Harris, Department of Pure Mathematics, University of Waterloo
“An Introduction to Types”
Having defined various types of von Neumann algebras, we are ready to examine some of their structural properties. We shall see that every factor is exactly one of these five types.
M3 2134
Tristan Freiberg, Department of Pure Mathematics, University of Waterloo
“Distribution of sums of two squares in intervals.”
We present a ktuples conjecture for sums of two squares, and discuss its implications for the distribution of sums of two squares in intervals.
M3 3103
Anthony McCormick and Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
“Yamabe and the Jets”
First Anthony will complete the discussion of jets, differential operators, and the Peetre theorem. Then Spiro will discuss Section 5 of the Lee/Parker paper on the Yamabe prob lem, focusing on theorem of Robin Graham that is a conformal analogue of the existence of Riemannian normal coordinates.
Adam Dor On, Department of Pure Mathematics, University of Waterloo
“Classification of C*envelopes of tensor algebras arising from stochastic matrices”
Gregorio Arturo Reyes Gonzalez, Instituto Tecnologico y de Estudios Superiores de Monterrey
Visiting the Department of Pure Mathematics, University of Waterloo
“Different definitions for Tangent Vectors”
Anton Mosunov, Department of Pure Mathematics, University of Waterloo
“ESTIMATING THE NUMBER OF SOLUTIONS OF A THUE EQUATION: FURTHER ADVANCEMENTS”
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“The Decanter Method (III)”
Last week we saw how to prove that a Ktrivial real cannot be Turing complete, but we made several simplifying assumptions that set constants equal to zero.
This week, we will show how to modify the construction we used to make it work when the constants are allowed to take on arbitrary values.
Adam Jaffe, Department of Pure Mathematics, University of Waterloo
“Bipartite graphs admitting a kNU polymorphism Part 3”
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
“Conformal Normal Coordinates and Graham’s Theorem”
We will complete our discussion of Section 5 of the Lee/Parker paper on the Yamabe problem, including the proof of the Theorem of Robin Graham on the existence of conformal normal coordinates.
MC 5501
Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo
“Conformal Normal Coordinates”
We will prove the existence of conformal normal coordinates on a Riemannian manifold M and will show how that simplifies the local geometry on M more than the geodesic normal coordinates. We will also give important applications of conformal normal coordinates to the solution of the Yamabe problem.
Spiro Karigiannis,Department of Pure Mathematics, University of Waterloo
“One more time for conformal normal coordinates”
Michael Deveau, Department of Pure Mathematics, University of Waterloo
“The Golden Run Construction  Part 1”
Ross Willard, Department of Pure Mathematics, University of Waterloo
“Conservative constraints Part 4”
This is the 4th in a series of 6 lectures aiming to make sense of Andrei Bulatovs paper, Conservative constraint satisfaction rerevisited, J. Comput. Sys. Sci. 82 (2016), 347356. This week: fixing the bugs in Lemma 3.5.
M33103
Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo
“The Green’s function and asymptotically flat manifolds”
Sam Harris, Department of Pure Mathematics, University of Waterloo
“A Free Unitary Analogue of Kirchberg’s Conjecture”
Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo
“The Green’s function and asymptotically flat manifolds, Part 2”
We will complete the discussion of Section 6 of the Lee/Parker paper on the Yamabe problem. All that remains is to prove Lemma 6.4, on the asymptotic expansion of the Green’s function for the box operator.
M3 4001 **Please note room**Michael Deveau, Department of Pure Mathematics, University of Waterloo
“The Golden Run Construction  Part 2”
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 Indigenous Initiatives Office.