This page lists all the PhD theses in the Department of Mathematics since 1990. Each entry provides the students name, thesis title, advisor or coadvisors, and program. Degrees are awarded in May, August, and December. Graduation ceremonies are held in May and December. Thesis are designated as Mathematics (MA), Mathematics with a concentration in Interdisciplinary Mathematics (MA/MAI), Applied Mathematics (AMA), Applied Mathematics with a concentration in Interdisciplinary Mathematics (AMA/MAI), Computational Mathematics (CMA), and Operations Research (ORM), and Biomathematics (BMM). A number of the AMA theses could have been CMA theses but the student chose to meet the AMA course requirements. ORM students are students in the Operations Research Program whose thesis advisor is from the Mathematics Department. BMM students are students in the Biomathematics Program whose thesis advisor is from the Mathematics Department. A list of all PhD students since the PhD program began can be found in the Departmental History.

May 2012

• Hird, John T. Jr.; Codes and Shifted Codes of Partitions and Compositions. Stitzinger and Jing, MA.
• Mokrauer, David S.; Interpolatory Surrogate Models for Light-Induced Transition Dynamics. Kellley, AMA.
• Stapleton, James R.; Structures and Singularities in n-Symplectic Geometry. Norris, MA.
• Thompson, William C.; Partial Differential Equation Modeling of Flow Cytometry Data from CFSE-based Proliferation Assays. Banks, AMA.
• Wilson, Evan A.; Root Multiplicities of the Indefinite Type Kac-Moody Algebra HD_n^(1). Misra, MA.
• Wu, Sheng-Jhih; Large Deviation Results for a Randomly Indexed Branching Process with Applications to Finance and Physics. Kang, MA.
  
  

December 2011

• Aoi, Mikio C.; Nonlinear, Noninvasive Assessment of Patient-Specific Cerebral Autoregulation in Stroke Subjects. Olufsen, BMA.
• Buell, Catherine A.; On maximal R-split tori invariant under an involution. Helminck, MA.
• Criner, Amanda; Nondestructive Evaluation of Porous Materials. Banks, AMA.
• Holm, Kathleen J.; Comparison of Optimal Design Methods in Inverse Problems. Banks, BMA.
• Jayne, Rebecca L.; Maximal Dominant Weights of Some Integrable Modules for the Special
  Linear Affine Lie Algebras and Their Multiplicities. Misra, MA.
• Robbins, Danielle E.; Sensitivity Functions for Delay Di erential Equation Models. Banks, BMA.
• Wears, Thomas H.; Signature Varieties of Polynomial Functions. Kogan, MA.

August 2011

• Bancroft, Erin; Shard Intersections and Cambrian Congruence Classes in Type A. Reading, MA.
• Bancroft, Eric; Products of Triangular Idempotents and Units. Putcha, MA.
• Cohen, Sean; A Numerical Investigation into the Expansion of a Plasma Plume due to Ablation of a Graphite Target by a Nano-second Laser Pulse. Chertock, MA.
• Hutton, Sharon; Exact Sums-of-Squares Certificates in Numeric Algebraic Geometry. Kaltofen, AMA.
• Liszewski, Katie; The Charged Free Boson Integrable Hierarchy. Bakalov and Jing, MA.
• Wessell, Charles; Stochastic Data Clustering. Meyer, MA.

May 2011

• Abernathy, Zachary; Nonlinear Dynamic Equations subject to Global and Periodic Boundary Conditions. Rodriguez, MA
• Abernathy, Kristen; Existence of Solutions to Nonlinear Boundary Value Problems at Resonance. Rodriguez, MA.
• Bliss, Karen; Modeling of Red Blood Cell Dynamics in Patients with Chronic Kidney Disease. Tran and Banks, AMA.
• Bosko, Lindsey; Schur Multipliers of Nilpotent Lie Algebras. Stitzinger, MA.
• Cary, Humber; Sparse Regularization for Inverse Problems Governed by Evolution Equations. Ito, AMA.
• Stagg, Kristen; Generalizations and Analogs of the Frattini Subalgebra. Stitzinger, MA.

December 2010

• Bostic, Kathryn J.W.; Dynamical Behavior of a Discrete, One-island, Selection-migration Model with General Dominance. Selgrade, AMA.
• Collins, James B.; Dimension Reduction: Modeling and Numerical Analysis of Two Applied Problems. Gremaud, MA.
• Dunbar, Jonathan.; The Affine Lie Algebra s^ln(C) and its Z-algebra Representation. Misra, MA.
• Fair, Martene L.; Active Incipient Fault Detection With Multiple Simultaneous Faults. Campbell, AMA.
• Frank, Dennis O.; Acute Inflammatory Response to Endotoxin Challenge: Model Development, Parameter Estimation, and Treatment Control. Tran, MA.
• Giffin, Nicholas J.; Particle Size Segregation In Granular Avalanches: A Study In Shocks. Shearer, AMA.
• Haugh, Janine M.; Mathematical Modeling of Cartilage Regeneration in Cell-Seeded Scaffolds. Haider, AMA.
• Lakhani, Chirag M.; Geometric Invariant Theory Compactification of Quintic Threefolds. Fauntleroy, MA.
• Long, David A.; Relaxed Matching for Stabilization of Relative Equilibria of Mechanical Systems. Zenkov, MA.
• Matthews, Jessica L.; Sensitivity Analysis and Development of a Model that Quantifies the Effect of Soil Moisture and Plant Age on Leaf Conductance. Smith, AMA.
• Valdez-Jasso, Daniela; Modeling and Identification of Vascular Biomechanical Properties in Large Arteries. Mette Olufsen, Biomathematics.
  
  

August 2010

• Allocca, Michael P.; L∞ Algebra Representation Theory. Lada, MA.
• Burdis, Joseph M.; Object-Image Correspondence of Under Projections. Kogan, MA.
• Capaldi, Alexander J.; Exploring the Inverse Problem with Infectious Disease Models. Lloyd, AMA.
• Capaldi, Mindy B.; Developing a New L∞ Algebra Using Symmetric Brace Algebras. Lada, MA.
• Peterson, Ellen R.; Flow of Thin Liquid Films with Surfactant: Analysis, Numerics, and Experiment. Shearer, AMA.
• Therkelsen, Ryan; The Conjugacy Poset of a Reductive Monoid. Putcha, MA.
  

May 2010

• Absher, John; On the Isomorphy Classes of Involutions over SO(2n, k). Helminck, MA.
• Lin, Min-Hsiung; Inverse Problems of Matrix Data Reconstruction. Chu, AMA.
• Rehman, Rizwana; Numerical Computation of the Characteristic Polynomial of a Complex Matrix. Ipsen and Lee, AMA.
• Taylor, Monique; Dafermos Regularization of a Modified KdV-Burgers Equation. Schecter, AMA.
• Thompson, Kyle A.; Commuting Involutions of SL(n,k). Helminck, MA.
• Wang, Qiang; Classification of K_F-orbits of Unipotent Elements in Symmetric F-varieties of SL(n, F). Helminck and Fauntleroy, AMA.
• Watson, Robert L.; Lifting Automorphisms from Root Systems to Lie Algebras. Helminck, MA