Now showing items 61-66 of 66

    • A Survey of the Classification of Division Algebras 

      Ashburner, Michelle Roshan Marie (University of Waterloo, 2008-09-29)
      For a given field F we seek all division algebras over F up to isomorphism. This question was first investigated for division algebras of finite dimension over F by Richard Brauer. We discuss the construction of the Brauer ...
    • Upper Bounds for the Number of Integral Points on Quadratic Curves and Surfaces 

      Shelestunova, Veronika (University of Waterloo, 2010-04-27)
      We are interested in investigating the number of integral points on quadrics. First, we consider non-degenerate plane conic curves defined over Z. In particular we look at two types of conic sections: hyperbolas with ...
    • Use-Bounded Strong Reducibilities 

      Belanger, David (University of Waterloo, 2009-08-20)
      We study the degree structures of the strong reducibilities $(\leq_{ibT})$ and $(\leq_{cl})$, as well as $(\leq_{rK})$ and $(\leq_{wtt})$. We show that any noncomputable c.e. set is part of a uniformly c.e. copy of ...
    • Von Neumann Algebras for Abstract Harmonic Analysis 

      Zwarich, Cameron (University of Waterloo, 2008-08-28)
      This thesis develops the theory of operator algebras from the perspective of abstract harmonic analysis, and in particular, the theory of von Neumann algebras. Results from operator algebras are applied to the study of ...
    • The Weil conjectures 

      Hayman, Colin (University of Waterloo, 2008-01-24)
      In discussing the question of rational points on algebraic curves, we are usually concerned with ℚ. André Weil looked instead at curves over finite fields; assembling the counts into a function, he discovered that it ...
    • Zigzags of Finite, Bounded Posets and Monotone Near-Unanimity Functions and Jónsson Operations 

      Martin, Eric (University of Waterloo, 2009-09-25)
      We define the notion of monotone operations admitted by partially ordered sets, specifically monotone near-unanimity functions and Jónsson operations. We then prove a result of McKenzie's in [8] which states that if a ...

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