Now showing items 61-66 of 66
The Algebraic Kirchberg--Phillips Conjecture for Leavitt Path Algebras
(University of Waterloo, 2015-09-18)
This essay is meant to be an exposition of the theory of Leavitt path algebras and graph C*-algebras, with an aim to discuss some current classification questions. These two classes of algebras sit on opposite sides of a ...
Branched Covering Constructions and the Symplectic Geography Problem
(University of Waterloo, 2008-08-15)
We apply branched covering techniques to construct minimal simply-connected symplectic 4-manifolds with small χ_h values. We also use these constructions to provide an alternate proof that for each s ≥ 0, there exists a ...
The O'Nan-Scott Theorem for Finite Primitive Permutation Groups, and Finite Representability
(University of Waterloo, 2009-08-06)
The O'Nan-Scott Theorem classifies finite primitive permutation groups into one of five isomorphism classes. This theorem is very useful for answering questions about finite permutation groups since four out of the five ...
On the Structure of Nonnegative Semigroups of Matrices
(University of Waterloo, 2009-08-18)
The results presented here are concerned with questions of decomposability of multiplicative semigroups of matrices with nonnegative entries. Chapter 1 covers some preliminary results which become useful in the remainder ...
Moment Polynomials for the Riemann Zeta Function
(University of Waterloo, 2009-01-21)
In this thesis we calculated the coefficients of moment polynomials of the Riemann zeta function for k= 4, 5, 6...13 using cubic acceleration, which is an improved method from quadratic acceleration. We then numerically ...
Equality of Number-Theoretic Functions over Consecutive Integers
(University of Waterloo, 2009-04-30)
This thesis will survey a group of problems related to certain number-theoretic functions. In particular, for said functions, these problems take the form of when and how often they are equal over consecutive integers, n ...