Browsing Mathematics Theses and Dissertations by Issue Date

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  • Alkire, Esther June (1945-06)
    In making use of the theory of linear regression to obtain an estimation of a dependent variate from the information contained in an independent variate, one frequently is faced with the problem of having the independent ...
  • Pearson, Kelly Jeanne, 1970- (2000)
    The Orlik-Solomon algebra of a hyperplane arrangement first appeared from the Brieskorn and Orlik-Solomon theorems as the cohomology of the complement of this arrangement (if the ground field is complex). Later, it was ...
  • Zhang, Tan, 1969- (University of Oregon, 2000)
    Relative to a non-degenerate metric of signature (p, q), an algebraic curvature tensor is said to be IP if the associated skew-symmetric curvature operator R(π) has constant eigenvalues and if the kernel of R(π) has constant ...
  • Brandl, Mary-Katherine, 1963- (University of Oregon, 2001)
    We examine a family of twists of the complex polynomial ring on n generators by a non-semisimple automorphism. In particular, we consider the case where the automorphism is represented by a single Jordan block. The ...
  • Archey, Dawn Elizabeth, 1979- (University of Oregon, 2008-06)
    This dissertation consists of two related parts. In the first portion we use the tracial Rokhlin property for actions of a finite group G on stably finite simple unital C *-algebras containing enough projections. The ...
  • Jordan, Alex, 1979- (University of Oregon, 2008-06)
    We generalize a theorem of Zhu relating the trace of certain vertex algebra representations and modular invariants to the arena of vertex super algebras. The theorem explains why the space of simple characters for the ...
  • Kronholm, William C., 1980- (University of Oregon, 2008-06)
    The theory of equivariant homology and cohomology was first created by Bredon in his 1967 paper and has since been developed and generalized by May, Lewis, Costenoble, and a host of others. However, there has been a notable ...
  • Wilson, James B., 1980- (University of Oregon, 2008-06)
    Finite p -groups are studied using bilinear methods which lead to using nonassociative rings. There are three main results, two which apply only to p -groups and the third which applies to all groups. First, for finite ...
  • Leeman, Aaron, 1974- (University of Oregon, 2009-06)
    We study the Bousfield localization functors known as [Special characters omitted], as described in [MahS]. In particular we would like to understand how they interact with suspension and how they stabilize. We prove ...
  • Vanderpool, Ruth, 1980- (University of Oregon, 2009-06)
    We investigate the existence of a stable homotopy category (SHC) associated to the category of p -complete abelian groups [Special characters omitted]. First we examine [Special characters omitted] and prove [Special ...
  • Walsh, Mark, 1976- (University of Oregon, 2009-06)
    We study the topology of the space of metrics of positive scalar curvature on a compact manifold. The main tool we use for constructing such metrics is the surgery technique of Gromov and Lawson. We extend this technique ...
  • Phan, Christopher Lee, 1980- (University of Oregon, 2009-06)
    We investigate some homological properties of graded algebras. If A is an R -algebra, then E (A) := Ext A ( R, R ) is an R-algebra under the cup product and is called the Yoneda algebra. (In most cases, we assume R ...
  • Wade, Jeremy, 1981- (University of Oregon, 2009-06)
    We investigate Cesàro summability of the Fourier orthogonal expansion of functions on B d × I m , where B d is the closed unit ball in [Special characters omitted] and I m is the m -fold Cartesian product of the ...
  • Brown, Jonathan, 1975- (University of Oregon, 2009-06)
    In this work we prove that the finite W -algebras associated to nilpotent elements in the symplectic or orthogonal Lie algebras whose Jordan blocks are all the same size are quotients of twisted Yangians. We use this to ...
  • Collins, John, 1981- (University of Oregon, 2009-06)
    We define and study a gluing procedure for Bridgeland stability conditions in the situation where a triangulated category has a semiorthogonal decomposition. As one application, we construct an open, contractible subset U ...
  • Sun, Wei, 1979- (University of Oregon, 2010-06)
    This dissertation is a study of the relationship between minimal dynamical systems on the product of the Cantor set ( X ) and torus ([Special characters omitted]) and their corresponding crossed product C *-algebras. For ...
  • Liang, Hutian (University of Oregon, 2010-06)
    In this dissertation, we will study the crossed product C*-algebras obtained from free and minimal [Special characters omitted.] actions on compact metric spaces with finite covering dimension. We first define stable ...
  • Heuser, Aaron, 1978- (University of Oregon, 2010-06)
    This dissertation examines the existence of the self-intersection local time for a superprocess over a stochastic flow in dimensions d ≤ 3, which through constructive methods, gives a Tanaka like representation. The ...
  • Giusti, Chad David, 1978- (University of Oregon, 2010-06)
    We introduce a new finite-complexity knot theory, the theory of plumbers' knots, as a model for classical knot theory. The spaces of plumbers' curves admit a combinatorial cell structure, which we exploit to algorithmically ...
  • Nash, David A., 1982- (University of Oregon, 2010-06)
    We study the graded representation theory of the Iwahori-Hecke algebra, denoted by Hd , of the symmetric group over a field of characteristic zero at a root of unity. More specifically, we use graded Specht modules to ...

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