Now showing items 58-64 of 64

    • The Einstein Constraint Equations on Asymptotically Euclidean Manifolds 

      Dilts, James (University of Oregon, 2015-08-18)
      In this dissertation, we prove a number of results regarding the conformal method of finding solutions to the Einstein constraint equations. These results include necessary and sufficient conditions for the Lichnerowicz ...
    • The Geometry of quasi-Sasaki Manifolds 

      Welly, Adam (University of Oregon, 2016-10-27)
      Let (M,g) be a quasi-Sasaki manifold with Reeb vector field xi. Our goal is to understand the structure of M when g is an Einstein metric. Assuming that the S^1 action induced by xi is locally free or assuming a certain ...
    • The Homotopy Calculus of Categories and Graphs 

      Vicinsky, Deborah (University of Oregon, 2015-08-18)
      We construct categories of spectra for two model categories. The first is the category of small categories with the canonical model structure, and the second is the category of directed graphs with the Bisson-Tsemo model ...
    • Topics in Random Walks 

      Montgomery, Aaron (University of Oregon, 2013-10-03)
      We study a family of random walks defined on certain Euclidean lattices that are related to incidence matrices of balanced incomplete block designs. We estimate the return probability of these random walks and use it to ...
    • The Tracial Rokhlin Property for Countable Discrete Amenable Group Actions on Nuclear Tracially Approximately Divisible C*-Algebras 

      Sun, Michael (University of Oregon, 2014-09-29)
      In this dissertation we explore the question of existence of a property of group actions on C*-algebras known as the tracial Rokhlin property. We prove existence of the property in a very general setting as well as specialise ...
    • Uniqueness of Conformal Ricci Flow and Backward Ricci Flow on Homogeneous 4-Manifolds 

      Bell, Thomas (University of Oregon, 2013-10-03)
      In the first chapter we consider the question of uniqueness of conformal Ricci flow. We use an energy functional associated with this flow along closed manifolds with a metric of constant negative scalar curvature. Given ...
    • Zonotopes and Hypertoric Varieties 

      Arbo, Matthew (University of Oregon, 2016-02-23)
      Hypertoric varieties are a class of conical symplectic resolutions which are very computable. In the current literature, they are only defined constructively, using hyperplane arrangements. We provide an abstract definition ...