Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“kfree values of binary forms”
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“MartinLof Randomness and Solovay Tests”
We have seen that the MartinLof random real numbers are a reasonably natural notion: they are definable both in terms of MartinLof tests and in terms of complexity.
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“Basic definitions and examples”
Chris Schafhauser, Department of Pure Mathematics, University of Waterloo
“Noncommutative localisation”
Ehsaan Hossain, University of Waterloo
“Invariant basis number and finiteness”
Sam Kim, Carleton University
“Ultraproduct techniques for tracial von Neumann algebras”
Florent BenaychGeorges, University Paris 5
“The Single Ring Theorem”
Ross Willard, Department of Pure Mathematics, University of Waterloo
“Fundamentals of finite modular lattices, I.”
Andrej Vukovic, Carleton University
“Enumerative Combinatorics and the Geometry of Number”
Anton Borissov, Department of Pure Mathematics, University of Waterloo
“Dirac Field”
This week we will discuss fermions. Starting from representations of the Lorentz group and traversing carefully through Clifford algebras and spinors, we will finally arrive at the quantization of the Dirac field.
MC 5403
Ignacio Garcia, Department of Pure Math, University of Waterloo
“Packing measure and a theorem of Besicovitch”
Packing measures, as well as Hausdorff measures, are used to provide fine information on the size of fractal sets. For many random sets, especially related to Brownian motion, packing measures (rather than Hausdorff measures) provide the right concept to measure the size of the set.
Tristan Freiberg, Department of Pure Mathematics, University of Waterloo
“The distribution of primes in short intervals.”
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“Randomness Continued”
Last time we introduced MartinLof randomness, and saw that most reals have this prop erty.
This week, we will give an example of one specific MartinLof random real, discuss some of the properties which such reals satisfy, and give another characterization of them.
Matt Kennedy, Department of Pure Mathematics, University of Waterloo
“Invariant random subgroups and uniformly recurrent subgroups”
Ignacio Garcia, Pure Math Department, University of Waterloo
“On generalized dimension of self similar sets with overlaps.”
Anton Mosunov, Department of Pure Mathematics, University of Waterloo
“Modular Curves and Moduli Spaces”
Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo
“Semiprime rings, cont’d”
Continuing our discussion of prime and semiprimeness: a ring R is semiprime if it has no nilpotent ideals. We’ll relate this to prime rings, and show that if R is semiprime artinian then it satisfies the Artin–Wedderburn theorem.
MC 5403
David Marker, University of Illinois at Chicago
“Model Theory and Exponentiation”
Anton Borissov, Department of Pure Mathematics, University of Waterloo
“The KleinGordon Field”
Jason Crann, Department of Pure Math, University of Waterloo
“Homological manifestations of quantum group amenability”
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“MartinLf Randomness”
We will continue last week’s discussion of prefixfree Kolmogorov complexity, but will begin to focus more on infinite sequences. We will discuss what we might mean when we say that an infinite sequence looks random from an algorithmic perspective.
Raymond Cheng, Department of Pure Mathematics, University of Waterloo
“Hodge and Lefschetz Decompositions”
Kiumars Kaveh, University of Pittsburgh
“Lattice points, convex bodies and algebraic geometry”
Anton Mosunov, Department of Pure Mathematics, University of Waterloo
“Modular Curves and Moduli Spaces”
Ehsaan Hossain, Department of Pure Mathematics University of Waterloo
“Prime and semiprime rings”
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Departmental office: MC 5304
Phone: 519 888 4567 x33484
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.