Browse Dissertations and Theses - Mathematics by Title

  • Kydonakis, Georgios A. (2018-04-02)
    For a compact Riemann surface of genus $g\ge 2$, the components of the moduli space of $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-Higgs bundles, or equivalently the $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-character variety, ...

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  • Mauer-Oats, Andrew John (2002)
    We define an "algebraic" version of the Goodwillie tower, Pdn F(X), that depends only on the behaviour of F on coproducts of X. When F is a functor to connected spaces or grouplike H-spaces, the functor Pdn F is the ...

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  • Beder, Jesse (2013-02-03)
    In this thesis, we study Peskine and Szpiro's Grade Conjecture and its connection with asymptotic intersection multiplicity $\chi_\infty$. Given an $A$-module $M$ of finite projective dimension and a system of parameters ...

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  • Weaver, Margaret Lefevre (1988)
    Given an ordering of the vertices of a graph around a circle, a page is a collection of edges forming non-crossing chords. A book embedding is a circular permutation of the vertices together with a partition of the edges ...

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  • Chang, Yi-Wu (1994)
    We introduce star number (tree number) of a graph G, which is the minimum t such that G is the intersection graph of unions of t substars (subtrees) of a host tree. We characterize the graphs with star number 1 and prove ...

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  • Nawaz, Tayyab (2013-05-28)
    We study the graphical analysis for hard to borrow stocks i.e., stock with some constraints such as short selling. The main purpose of this graphical analysis was to introduce some algorithm for calculating the implied ...

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  • Sanders, Robin Sue (1990)
    The graphs on which dihedral, quaternion, and abelian groups act vertex and/or edge transitivity are completely characterized. The vertex transitive graphs belong to one of three families--the well known circulant graphs, ...

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  • Kantor, Ida (2011-01-14)
    \noindent{This thesis focuses on topics in extremal combinatorics.} Given an integer-valued function $f$ defined on the vertices of a graph $G$, we say $G$ is {\em $f$-choosable} if for every collection of lists with ...

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  • Pho-on, Witsarut (2017-04-19)
    In 1996, Masur and Minsky showed that the curve graph is hyperbolic. Recently, Hensel, Przytycki, and Webb proved a stronger result which was the uniform hyperbolicity of the curve graph, and they also gave the first proof ...

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  • Lopes, Vinicius Cifu (2009)
    We define the Grothendieck semiring of a category in a way suitable for the categories of definable sets and functions which occur in Model Theory, and also emphasize Euler characteristics, that is, invariant measures ...

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  • LaFramboise, Thomas Louis (1995)
    In his 1978 paper, The Grothendieck-Cousin complex of an induced representation, G. Kempf computes the Cousin complex corresponding to an induced representation of a reductive algebraic group G. His technique uses the ...

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  • Willett, Christopher Bernard (2002)
    In this thesis I propose a new method for reducing a co-oriented contact manifold M by the action of a Lie group G by contactomorphisms. With a regularity and integrality assumption on mu ∈ g* the contact quotient ...

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  • Grundmeier, Dusty E. (2011-05-25)
    We consider group-invariant CR mappings from spheres to hyperquadrics. Given a finite subgroup $\Gamma \subset U(n)$, a construction of D'Angelo and Lichtblau yields a target hyperquadric $Q(\Gamma)$ and a canonical ...

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  • Haring-Smith, Robert Henry (1981)
    With any finitely generated presentation (pi) = of a group G, one can associate a formal language WP(,0)((pi)), the reduced word problem of (pi), consisting of all words on the generators and their inverses which are equal ...

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  • Wu, Yu-Fen (1998)
    A group G is called a CT-group if commutativity is a transitive relation on the set of non-identity elements of G. This dissertation is concerned with the class of CT-groups. Finite and locally finite CT-groups are studied ...

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