#### Dissertations from 2012

Subgradient formulas for optimal control problems with constant dynamics, Lingyan Huang

On the Witt groups of schemes, Jeremy Allen Jacobson

Hypercube diagrams for knots, links, and knotted tori, Ben McCarty

Graham's variety and perverse sheaves on the nilpotent cone, Amber Russell

Mathematical Models for Interest Rate Dynamics, Xiaoxue Shan

The new stochastic integral and anticipating stochastic differential equations, Benedykt Szozda

Operational methods for evolution equations, Lee Gregory Windsperger

#### Dissertations from 2011

On Greenberg's question: an algebraic and computational approach, David H. Chapman

Capturing elements in matroid minors, Deborah Chun

Paley-Wiener theorems with respect to the spectral parameter, Susanna Dann

Excluded-minor characterization of apex-outerplanar graphs, Stanislaw Dziobiak

Symmetric spaces, Se-Jong Kim

A C^{0} Interior Penalty Method for the von Kármán Equations, Armin Karl Reiser

A new theory of stochastic integration, Anuwat Sae-Tang

Improving math instruction in schools that serve the poor, John, L. Jr. Sims

Guided modes and resonant transmission in periodic structures, Hairui Tu

Twisted Frobenius-Schur indicators for Hopf algebras, Maria Vega

Some classes of graphs that are nearly cycle-free, Lisa Warshauer

#### Dissertations from 2010

Hamilton-Jacobi theory for optimal control problems on stratified domains, Richard Charles Barnard

Subgroups of the Torelli group, Leah R. Childers

Dimer models for knot polynomials, Moshe Cohen

Multigrid methods for Maxwell's equations, Jintao Cui

Perverse poisson sheaves on the nilpotent cone, Jared Lee Culbertson

Power series expansions for waves in high-contrast plasmonic crystals, Santiago Prado Parentes Fortes

Koszul duality for multigraded algebras, Fareed Hawwa

Homogenization of nonlinear partial differential equations, Silvia Jiménez

Optimal control and nonlinear programming, Qingxia Li

Correlation of defaults in complex portfolios using copula techniques, Adam Lodygowski

A characterization of near outer-planar graphs, Tanya Allen Lueder

Primes of the form X² + nY² in function fields, Piotr Maciak

Fraction competency and algebra success, Coretta Thomas

Orthogonal Grassmannians and hermitian K-theory in A¹-homotopy theory of schemes, Girja Shanker Tripathi

Copula and default correlation, Dongxiang Yan

Method of Riemann surfaces in modelling of cavitating flow, Anna Zemlyanova

#### Dissertations from 2009

The structure of 4-separations in 4-connected matroids, Jeremy M. Aikin

Impulsive control systems, Wei Cai

Algorithms related to subgroups of the modular group, Constantin Cristian Caranica

Function Spaces, Wavelets and Representation Theory, Jens Gerlach Christensen

Unavoidable minors in graphs and matroids, Carolyn Barlow Chun

The extended picture group, with applications to line arrangement complements, Charles Richard Egedy

White noise methods for anticipating stochastic differential equations, Julius Esunge

Stochastic Navier-Stokes equations with fractional Brownian motions, Liqun Fang

A regularization technique in dynamic optimization, Alvaro Guevara

Homological width and Turaev genus, Adam Lowrance

Some results on cubic graphs, Evan Morgan

A discrete model of guided modes and anomalous scattering in periodic structures, Natalia Grigoryevna Ptitsyna

Local behavior of distributions and applications, Jasson Vindas

The Segal-Bargmann transform on inductive limits of compact symmetric spaces, Keng Wiboonton

Convolution semigroups, Kevin W. Zito

#### Dissertations from 2008

Multiscale analysis of heterogeneous media for local and nonlocal continuum theories, Bacim Alali

Rational approximation schemes for solutions of abstract Cauchy problems and evolution equations, Patricio Gabriel Jara

Differential geometry in cartesian closed categories of smooth spaces, Martin Laubinger

Stochastic and copula models for credit derivatives, Chao Meng

Laplace Transform Inversion and Time-Discretization Methods for Evolution Equations, Koray Ozer

Trace Forms of Abelian Extensions of Number Fields, Karli Smith

Fast Marching Methods - parallel implementation and analysis, Maria Cristina Tugurlan

Surgery description of colored knots, Steven Daniel Wallace

#### Dissertations from 2007

Comparison of KP and BBM-KP models, Gideon Pyelshak Daspan

Sign Ambiguities of Gaussian Sums, Heon Kim

Subrepresentation semirings and an analogue of 6j-symbols, Nam Hee Kwon

Multiplicative renormalization method for orthogonal polynomials, Suat Namli

Backward stochastic Navier-Stokes equations in two dimensions, Hong Yin

#### Dissertations from 2006

Filippov's operator and discontinuous differential equations, Khalid Abdulaziz Alshammari

Integral cohomology of the Siegel modular variety of degree two and level three, Mustafa Arslan

Circuits and structure in matroids and graphs, Brian Daniel Beavers

Extension of Shor's period-finding algorithm to infinite dimensional Hilbert spaces, Jeremy James Becnel

Using elimination to describe Maxwell curves, Lucas P. Beverlin

Representation properties of definite lattices in function fields, Jean Edouard Bureau

Characterization of the dependency across foreign exchange markets using copulas, Ryan Coelho

Optimal binary trees with height restrictions on left and right branches, Song Ding

Classifying quadratic number fields up to Arf equivalence, Jeonghun Kim

On moment conditions for the Girsanov Theorem, See Keong Lee

Index future pricing under imperfect market and stochastic volatility, Wei-Hsien Li

Topics in quantum topology, Khaled Moham Qazaqzeh

An inverse homogenization design method for stress control in composites, Michael Stuebner

Limit theorems for weighted stochastic systems of interacting particles, Jie Wu

#### Dissertations from 2005

Laguerre functions associated to Euclidean Jordan algebras, Michael Aristidou

Multiscale strain analysis, Timothy Donald Breitzman

Stability in dynamical polysystems, George Cazacu

Quasicontinuous derivatives and viscosity functions, Rodica Cazacu

The asymptotic Z-transform, Scott Jude Champagne

Zeta functions of finite graphs, Debra Czarneski

Wavelet sets with and without groups and multiresolution analysis, Mihaela Dobrescu

Error estimates for stabilized approximation methods for semigroups, Sarah Campbell McAllister

Stability of stochastic pricing models under volatility fluctuations, Krassimir Zhivkov Nikolov

Dynamical systems with time delay, Norma Ortiz

Dissipative Lipschitz dynamics, Vinicio Rafael Rios

Virtual strings for closed curves with multiple components and filamentations for virtual links, William Schellhorn

Modern interpretation of Euclid's theory of ratio and proportion, Mark Robert Stecher

Impulsive systems, Stanislav Zabic

#### Theses from 2004

A meta-analysis of randomness in human behavioral research, Summer Ann Armstrong

Which mean do you mean?: an exposition on means, Mabrouck K. Faradj

Query of image content using Wavelets and Gibbs-Markov Random Fields, Imtiaz Hossain

Class groups and norms of units, Costel Ionita

Orbit structure on the Silov boundary of a tube domain and the Plancherel decomposition of a causally compact symmetric space, with emphasis on the rank one case, Troels Roussau Johansen

On qualitative properties and convergence of time-discretization methods for semigroups, Mihaly Kovacs

Asymptotic Laplace transforms, Claudiu Mihai

The Radon-Gauss transform, Vochita Mihai

Cox Regression Model, Lindsay Sarah Smith

#### Theses from 2003

A parametrization approach for solving the Hamilton-Jacobi-Equation and application to the A2 Toda lattice, Mohammad Dikko Aliyu