Ph.D. Degrees Awarded by Mathematical Sciences

Ph.D. Degrees Awarded: 2014

NIOUSSA, Ridha
Advisor: Hans Volkmer
Thesis: On the Generalized Ince's Equation
Date of Graduation: May 2014

LA CORTE, Diana Thomson
Advisor: Yi Ming Zou
Thesis: Newton's Method Backpropagation for Complex-Valued Holomorphic Neural Networks: Algebraic and Analytic Properties
Date of Graduation: May 2014

OSBORNE, Jeremy Alan
Advisor: G. Chris Hruska
Thesis: Statistical Hyperbolicity of Relatively Hyperbolic Group
Date of Graduation: August 2013

Ph.D. Degrees Awarded: 2013

LIN, Xiaoying
Advisor: Dashan Fan
Thesis: The Boundedness of Hausdurft Operators on Function Spaces
Date of Graduation: August 2013

WILLIAMS, Lauren
Advisor: Jeb Willenbring
Thesis: Invariant Polynomials on Tensors Under the Action of a Product of Orthogonal Group
Date of Graduation: August 2013

GADDIS, Jason
Advisor: Allen Bell
Thesis: PBW Deformations of Artin-Schelter Regular Algebras and their Homogenizations
Date of Graduation: May 2013

MASAROS, America
Advisor: Ian Musson
Thesis: Category O Representations of the Lie Superalgebra osp(3,2)
Date of Graduation: May 2013

OLIVAS SAUNDERS, Rolando
Advisor: Jonathan Kahl
Thesis: Improved Estimation of PM2.5 Using Lagrangian Stellite-Measured Aerosol Opitcal Depth
Date of Graduation: May 2013

Ph.D. Degrees Awarded: 2012

FONSTAD, Paul
Advisor: Frederic Ancel
Thesis: A Further Classification of the Boundaries of the Croke-Kleiner Group
Graduation: August 2012

HARRIS, Pamela
Advisor: Jeb Willenbring
Thesis: Combinational Problems Related to Kostant's Weight Multiplicity Formula
Date of Graduation: May 2012

WOOD, John
Advisor: Eric Key
Thesis: Modeling Processes With Heavy Tails
Date of Graduation: May 2012

Ph.D. Degrees Awarded: 2011

ALVIN, Loribeth
Advisor: Karen Brucks
Thesis: A Study of Low Dimensional Dynamics
Date of Graduation: May 2011

Du, Hong
Advisor: Daniel Gervini
Thesis: Nonlinear Functional Discriminant Analysis
Date of Graduation: Dec 2011

Ph.D. Degrees Awarded: 2010

HANRAHAN, Janel
Advisor: Paul Roebber
Thesis: Connecting Past and Present Climate Variability to the Water Levels of Lake Michigan
Date of Graduation: December 2010

TIREL, Carrie J.
Advisor: Craig Guilbault
Thesis: Z-Structures on Product Groups
Date of Graduation: August 2010

ZARROUK, Mazen
Advisor: Dexuan Xie
Thesis: Analysis of Truncated Incomplete Hessian Newton Minimization Method and Application in Biomolecular Simulations
Date of Graduation: May 2010

Ph.D. Degrees Awarded: 2009

BAE, Ju Youn
Advisor: Jay Beder
Thesis: Estimation of the Additive Genetic Covariance Function
Date of Graduation: August 2009

CHIAPPETTA, Shawn
Advisor: B. Wade
Thesis: Non-Overlapping Domain Decomposition Parallel Algorithms for Convection-Diffusion Problems
Date of Graduation: May 2009

DORNHEIM, Harald
Advisor: Vytaras Brazauskas
Thesis: Robust-Efficient Fitting of Mixed Linear Models: Theory, Simulations, Actuarial Extensions, and Examples
Date of Graduation: December 2009

JANSSEN, Britta
Advisor: Bruce Wade
Thesis: An Efficient Exponential Time Differencing Method for Nonlinear Reaction Diffusion Problems
Date of Graduation: December 2009

KLEEFELD, Andreas
Advisor: Tzu-Chu Lin
Thesis: Direct and Inverse Acoustic Scattering for Three-Dimensional Surfaces
Date of Graduation: December 2009

KUELHEIM, Rene
Advisor: Jugal Ghorai
Thesis: Asymptotic Properties of Semiparametric Random Censorship Models with Covariables
Date of Graduation: August 2009

MICHAEL, Martin
Advisor: A. Milani
Thesis: Local and Global Solutions to Quasilinear Wave Equations via Nash-Moser Algorithm
Date of Graduation: May 2009

RUS, George A
Advisor: R. Stockbridge and B. Wade
Thesis: Finite Element Methods for Control of Singular Stochastic Processes
Date of Graduation: May 2009

SEBERT, Florian M
Advisor: Y.M. Zou
Thesis: Algebraic and Geometric Properties of Generalized Wavelet Matrices
Date of Graduation: May 2009

ZAGLAUER, Katharina
Advisor: R. Stockbridge
Thesis: Fair Pricing of Participating Life Insurance Contracts in a Regime-Switching Market Environment
Date of Graduation: May 2009


Ph.D. Degrees Awarded: 2008

DUDEK, John A.
Advisor: Albert Milani and Daniel Agterberg
Thesis: A Mathematical Investigation of Solutions for the Two-Component order Parameter in the Ginzburg-Landau Equations of Superconductivity
Date of Graduation: May 2008

FUHRMAN, Kseniya M.
Advisor: Gabriella Pinter
Thesis: Mathematical Modeling and Analysis of Virus-Host Interactions in Aquatic Systems
Date of Graduation: December 2008

HE, Hao
Advisor: Richard Stockbridge
Thesis: Utility Maximization of a Portfolio that Includes an Illiquid Asset
Date of Graduation: August 2008

LEE, Jae Kook
Advisor: Allen Bell and Mark Teply
Thesis: Some Covers and Relative Covers of Modules
Date of Graduation: May 2008

MOONEY, Christopher
Advisor: Craig Guilbault
Thesis: On Boundaries of CAT(0) Groups
Date of Graduation: May 2008

SCHROEDER, Tim
Advisor: Boris Okun
Thesis: l^2-homology of Coxeter Groups
Date of Graduation: May 2008

SHOMBERG, Asta
Advisor: Jugal Ghorai
Thesis: Estimation of False Discovery Rate under Parametric Assumptions with Application to DNA Microarrays
Date of Graduation: May 2008

SHOMBERG, Joseph Lee
Advisor: Albert Milani
Thesis: Explicit Construction of a Robust Family of Compact Inertial Manifolds
Date of Graduation: August 2008


Ph.D. Degrees Awarded: 2007

GELIAZKOVA, Maya
Advisor: Jay Beder and Brent Logan
Thesis: Spatial Thresholding Procedures for fMRI Analysis
Date of Graduation: Spring 2007

LEHRKE, Stephen G.
Advisor: Jugal Ghorai
Thesis: Asymptotic Properties of the MLE of Parameters of the Multivariate O-U Process
Date of Graduation: Fall 2007

MAY, Margaret Christin
Advisor: Craig Guilbault
Thesis: Finite Dimensional Z-Compactifications
Date of Graduation: Summer 2007

SEARS, Christopher
Advisor: Karen M. Brucks
Thesis: Monotonicity of Kneading Sequences in Families of One-kink Maps
Date of Graduation: Summer 2007

van GRONINGEN, Anthony
Advisor: Jeb Willenbring
Thesis: Graded Multiplicities of the Nullcone for the Algebraic Symmetric Pair of Type G
Date of Graduation: Summer 2007

ZAIDAN, Younis
Advisor: Gabriella Pinter
Thesis: Analysis of Maxwell-Systems with Different Polarization Mechanisms
Date of Graduation: Summer 2007


Ph.D. Degrees Awarded: 2006

ZHANG, Weiqun
Advisor: David Schultz and Tzu-Chu Lin
Thesis: Numerical Solutions of Linear and Nonlinear Singular Perturbation Problems
Date of Graduation: Spring 2006


Ph.D. Degrees Awarded: 2005

LIU, Zhiyuan
Advisor: Paul Roebber
Thesis: Vortices in Deformation Background Flow - A Sensitivity Source of the Atmosphere
Date of Graduation: Fall 2005

PANAYOTOVA, Iordanka
Advisor: Kyle Swanson and Bruce Wade
Thesis: Meridional Asymmetries in Large-Scale Atmospheric Dynamical Phenomena
Date of Graduation: Summer 2005

YOUSUF, Muhammad
Advisor: Bruce Wade
Thesis: Smoothing Schemes for the Inhomogeneous Linear and Semilinear Parabolic Problems with Nonsmooth Data
Date of Graduation: Spring 2005


Ph.D. Degrees Awarded: 2004

BARTL, Michael
Advisor: Dashan Fan
Thesis: On a hyper-Hilbert transform and singular integrals
Date of Graduation: Summer 2004


Ph.D. Degrees Awarded: 2003

SIDDIQUE, Mohammad
Advisor: Bruce Wade
Thesis: Smoothing with Positivity-Preserving Pade Schemes for Parabolic Problems with Nonsmooth Data
Date of Graduation: Summer 2003

VACHADZE, George
Advisor: Eric Key
Thesis: Finite Mixture Models and Their Applications in Finance
Date of Graduation: Spring 2003


Ph.D. Degrees Awarded: 2002

RUEDA, Sonia
Advisor: Ian Musson
Thesis: Differential Operators on Invariants Rings of Tori and Related Topics
Date of Graduation: Summer 2002

SOLESKI, Tatiana
Advisor: Bruce Wade
Thesis: Wavelets in Computerized Tomography
Date of Graduation: Spring 2002

YORDANOV, Boris
Advisor: Albert Milani
Thesis: Critical Exponents for Nonlinear Wave Equations with Damping
Date of Graduation: Summer 2002


Ph.D. Degrees Awarded: 2001

ILICASU, Fatma
Advisor: David Schultz
Thesis: High Order Methods for Singular Perturbation Problems
Date of Graduation: Summer 2001

RADCLIFFE, David
Advisor: Fredric Ancel
Thesis: Unique Presentation of Coxeter Groups and Related Groups
Date of Graduation: Summer 2001

SIDDIKOV, Bahodir
Advisor: David Schultz
Thesis: Numerical Simulation of the Active Magnetic Regenerative Refrigerator
Date of Graduation: Spring 2001


Ph.D. Degrees Awarded: 2000

CHENG, Dengfeng
Advisor: T.C. Lin
Thesis: Multiwavelet Solutions to the Boundary Integral Equations
Date of Graduation: Fall 2000

HE, Xionghui
Advisor: Hans Volkmer
Thesis: On the Stability of Non-Harmonic Fourier Series
Date of Graduation: Spring 2000

LIAMBA, Lukemba
Advisor: Hans Volkmer
Thesis: Solution of Dirichlet Problems by Generalized Spherical Harmonics
Date of Graduation: Spring 2000

YU, Dong
Advisor: Jugal Ghorai
Thesis: Density Estimation with Positive Wavelet Kernel
Date of Graduation: Fall 2000


Earlier Ph.D. Degrees will be posted in the future. In the meantime, please contact the department.