Browsing by Author "Ozaydin, Murad"

Now showing items 1-9 of 9

    • THE ENUMERATION PROBLEM ON NUMERICAL MONOIDS 

      Edwards, Craig (2019-05-10)
      Even though the problem of counting points with integer coordinates on a (rational) polytope has connections to sophisticated mathematical topics like Algebraic K-Theory, Fourier-Dedekind Sums, Heegard-Floer Homology, ...

    • Equivariant Piecewise-Linear Topology and Combinatorial Applications 

      Dover, James Robert (2011)
      For G a finite group, we develop some theory of G-equivariant piecewise-linear topology and prove characterization theorems for G-equivariant regular neighborhoods. We use these results to prove a conjecture of Csorba ...

    • Generalized Polynomial Superfunctors 

      Randich, Joseph (2022-05-13)
      We introduce a generalized notion of homogeneous strict polynomial functors defined over a superalgebra, $A$. In particular, we define two closely related families of categories $\mathsf{P}^d_A$ and $\mathsf{P}^d_{(A,\ma ...

    • New Simple Representations of Leavitt Path Algebras 

      Pacheco, Elizabeth (2019-12-13)
      This thesis is about representations of Leavitt Path Algebras (LPAs). Specifically, we first generalize a previously known construction of twisted Chen modules over the Leavitt Path Algebra of a directed graph. We then ...

    • On the Existence and Stability of Filiform Nilsolitons 

      Danser, Jordan (2022-08)
      This dissertation is concerned with the existence and stability of nilsoliton metrics on filiform Lie algebras. The results are presented in two major components. First, we give new results which preclude the existence 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', ...

    • Representations of the marked Brauer algebra 

      Tharp, Benjiman (2017-05-12)
      The marked Brauer algebra is a generalization of the diagrammatic Brauer algebra which diagrammatizes Moon's centralizer algebra for the type \mathfrak{p} Lie superalgebra. We prove that the marked Brauer algebra is a ...

    • Some sharp inequalities related to Moser-Tridinger-Onofri inequality 

      Li, Suyu (2014-05)
      In this dissertation, we focus on the study of sharp inequalities of Moser- Trudinger-Onofri type. We first establish the analog Bliss and Hardy inequal- ities with sharp constant involving exponential weight function. ...

    • Totally Reflected Groups 

      Wright, Rachel (2016-05-13)
      A group G is totally reflected if it has a generating set S such that each edge in the Cayley graph Gamma(G,S) is inverted by some color-preserving reflection on the graph. For example, we will show that Coxeter groups and ...