Browsing OU - Dissertations by Author "Jablonski, Michael"

Now showing items 1-7 of 7

    • Classification, Cobordism, and Curvature of Four-Dimensional Infra-Solvmanifolds 

      Thuong, Scott Van (2014)
      Crystallographic groups of solvable Lie groups generalize the crystallographic groups of Euclidean space. The quotient of a solvable Lie group G by the action of a torsion-free crystallographic group of G is an infra-solvmanifold ...

    • Combinatorial Aspects of the Ikeda Lift via Extended Gross-Keating Data 

      Dynes, Patrick (2023-05-12)
      This thesis is motivated by the problem of studying the Ikeda lift via a converse theorem due to R. Weissauer. We investigate a certain function; denoted by 𝜙(𝑎; 𝐵), where 𝑎 is a positive integer and 𝐵 is a symmetric ...

    • Cubulating one-relator products with torsion 

      Stucky, Ben (2019-05-10)
      Since the resolution of the virtual Haken conjecture in the theory of hyperbolic 3-manifolds, there has been much attention devoted to CAT(0) cube complexes. These non-positively curved metric spaces are powerful tools for ...

    • (Multi-)Persistent Homology and Topological Robotics 

      Li, Wenwen (2023-05-12)
      After developing the relevant background and proving some general results in the early chapters, the main novel content of this thesis is the computation of the $i$-th homology groups of the second configuration spaces of ...

    • On the Prescribed Ricci Curvature of Noncompact Homogeneous Spaces with Two Isotropy Summands 

      Gaskins, Dustin (2023-05-12)
      The current dissertation works within the setting of noncompact homogeneous spaces 𝐺/𝐻 in which 𝐺 is semi-simple. In particular, we frequently work with a decomposition of the Lie algebra 𝔤, 𝔤 = 𝔥 ⊕ 𝔭'' ⊕ 𝔭', ...

    • Phenomenology of the String Theory Landscape 

      Salam, Mohammed Shadman (2022)
      In this dissertation, we perform a thorough phenomenological study of the string theory landscape. To this end, we compare and contrast the data collected from particle accelerators and detectors against various models of ...

    • Stereoselective Spirocyclizations Initiated by Metal Carbenes 

      Hunter, Arianne (2019-05-10)
      Within the field of drug design, there is a great interest in the development of synthetic libraries that mimic the structural complexity of natural product scaffolds. Recent cheminformatic analyses have revealed that 83% ...