#### Theses/Dissertations from 2011

Topological Properties of Invariant Sets for Anosov Maps with Holes, Skyler C. Simmons

Maximal Unramified Extensions of Cyclic Cubic Fields, Ka Lun Wong

#### Theses/Dissertations from 2010

Asian Spread Option Pricing Models and Computation, Sijin Chen

Applications of Descriptive Set Theory in Homotopy Theory, Samuel M. Corson

A Lift of Cohomology Eigenclasses of Hecke Operators, Brian Francis Hansen

The Minimum Rank, Inverse Inertia, and Inverse Eigenvalue Problems for Graphs, Mark Condie Kempton

A Toolkit for the Construction and Understanding of 3-Manifolds, Lee R. Lambert

Wild Low-Dimensional Topology and Dynamics, Mark H. Meilstrup

Planar CAT(k) Subspaces, Russell M. Ricks

#### Theses/Dissertations from 2009

Evans Function Computation, Blake H. Barker

The Orbifold Landau-Ginzburg Conjecture for Unimodal and Bimodal Singularities, Natalie Wilde Bergin

Numerical Solutions for Stochastic Differential Equations and Some Examples, Yi Luo

Hokua – A Wavelet Method for Audio Fingerprinting, Steven S. Lutz

Properties of the Zero Forcing Number, Kayla Denise Owens

Fusion of the Parastrophic Matrix and Weak Cayley Table, Nathan C. Perry

Topics in Analytic Number Theory, Kevin James Powell

Some Congruence Properties of Pell's Equation, Nathan C. Priddis

Alternating Links and Subdivision Rules, Brian Craig Rushton

Growth and Geodesics of Thompson's Group F, Jennifer L. Schofield

The Expectation of Transition Events on Finite-state Markov Chains, Jeremy Michael West

Four-body Problem with Collision Singularity, Duokui Yan

#### Theses/Dissertations from 2008

Modeling the hydrolyzing action of secretory phospholipase A2 with ordinary differential equations and Monte Carlo Methods, Zijun Lan Dozier

Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua, Curtis Andrew Kent

Rational Schur Rings over Abelian Groups, Brent L. Kerby

Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space, Zeng Lian

Fusion of Character Tables and Schur Rings of Dihedral Groups, Long Pham Bao Nguyen

Complete Tropical Bezout's Theorem and Intersection Theory in the Tropical Projective Plane, Gretchen Rimmasch

Lifting Galois Representations in a Conjecture of Figueiredo, Wayne Bennett Rosengren

The Tropical Jacobian of a Tropical Elliptic Curve Is S^1(Q), Darryl Gene Wade

#### Theses/Dissertations from 2007

The Importance of the Riemann-Hilbert Problem to Solve a Class of Optimal Control Problems, Nicholas Dewaal

The Minimum Rank Problem Over Finite Fields, Jason Nicholas Grout

Infinite Product Group, Keith G. Penrod

Pipe Diagrams for Thompson's Group F, Aaron L. Peterson

On Connections Between Univalent Harmonic Functions, Symmetry Groups, and Minimal Surfaces, Stephen M. Taylor

Analysis and Implementation of High-Order Compact Finite Difference Schemes, Jonathan G. Tyler

#### Theses/Dissertations from 2006

Topics on the Spectral Theory of Automorphic Forms, Dustin David Belt

Proven Cases of a Generalization of Serre's Conjecture, Jonathan H. Blackhurst

On the Combinatorics of Certain Garside Semigroups, Christopher R. Cornwell

Conjugacy Classes of the Piecewise Linear Group, Matthew L. Housley

Knots Not for Naught, Sharleen Adrienne Roberts

The Relationship Between the Minimal Rank of a Tree and the Rank-Spreads of the Vertices and Edges, John Henry Sinkovic

On the N-body Problem, Zhifu Xie

#### Theses/Dissertations from 2005

An Exposition of the Deterministic Polynomial-Time Primality Testing Algorithm of Agrawal-Kayal-Saxena, Robert Lawrence Anderson

Matrix Representations of Automorphism Groups of Free Groups, Ivan B. Andrus

Totally Real Galois Representations in Characteristic 2 and Arithmetic Cohomology, Heather Aurora Florence de Melo

Maximal Surfaces in Complexes, Allen J. Dickson

Classifcation of Conics in the Tropical Projective Plane, Amanda Ellis

Three Pension Cost Methods under Varying Assumptions, Linda S. Grizzle

Explicit Computations Supporting a Generalization of Serre's Conjecture, Brian Francis Hansen

A Mathematical Model of Adhesion Interactions between Living Cells, Casey P. Johnson

Hopf Bifurcations and Horseshoes Especially Applied to the Brusselator, Steven R. Jones

Classifying Homotopy Types of One-Dimensional Peano Continua, Mark H. Meilstrup

The Lie Symmetries of a Few Classes of Harmonic Functions, Willis L. Petersen

Statistical Properties of Thompson's Group and Random Pseudo Manifolds, Benjamin M. Woodruff

#### Theses/Dissertations from 2004

A Forbidden Subgraph Characterization Problem and a Minimal-Element Subset of Universal Graph Classes, Michael D. Barrus

A New Approach to Lie Symmetry Groups of Minimal Surfaces, Robert D. Berry

A Numerical Scheme for Mullins-Sekerka Flow in Three Space Dimensions, Sarah Marie Brown

Ultraconnected and Critical Graphs, Jason Nicholas Grout

Lattices and Their Applications to Rational Elliptic Surfaces, Gretchen Rimmasch

PSL(2,7)-Extensions with Certain Ramification at Two Primes, Glen E. Simpson

Problems Related to the Zermelo and Extended Zermelo Model, Benjamin Zachary Webb

Wave Scattering From Infinite Cylindrical Obstacles of Arbitrary Cross-Section, Matthew B. Weber

#### Theses/Dissertations from 2003

Bounding the Number of Graphs Containing Very Long Induced Paths, Steven Kay Butler

Sandwich Theorem and Calculation of the Theta Function for Several Graphs, Marcia Ling Riddle