Mathematics Doctoral Dissertations
A reverse-chronological list of doctoral dissertations awarded by the department.
A link on a person's name goes either to their webpage or to recent news or information about them.
The link from the dissertation title leads to the university library. Most dissertations since 2003 are available electronically there. If the link is missing on a recent dissertation, try a library search for "OUD Theses. Mathematics (opens in a new window)."
2024
- Saad Aldosari : Dynamics of linear extrapolation in two dimensions with applications (opens in a new window)
- Michael Asabere : Adapting the size and node-type mixture of a hybrid neural network while training (opens in a new window)
- William Ofori-Atta : Weak diffusive stability induced by high-order spectral degeneracies (opens in a new window)
- Khaled Qaraman : On inversion in higher dimensions (opens in a new window)
- Asiyeh Rafieipour : The Magma Monoid and related algebraic structures (opens in a new window)
2023
- Daniel Ntiamoah: Analysis of Order Strategies for Alternating Algorithms in Optimization (opens in a new window)
- Abdalnaser Algoud: Asymmetric Division of Cell Population Structure Models with Negative Feedback (opens in a new window)
2022
- Murdhy Aldawasari: On non-homogeneous reflections via Dirichlet-to-Neumann and Robin-to-Neumann operators (opens in a new window)
- Herath Mudiyanselage Indupama Umayangi Herath: Multivariate Regression using Neural Networks and Sums of Separable Functions (opens in a new window)
- Kevin Patrick Pomorski: On Braided Monoidal 2-Categories (opens in a new window)
- Timothy Schenkel: On Graph Algebras (opens in a new window)
- Yeshan Withanage: Analysis of Sparse Sufficient Dimension Reduction Models
- Majed Husain Zailaee: Amenable bases over infinite dimensional algebras (opens in a new window)
- Mohmmad Hussein Zailai: Topological Field Theories with Defects (opens in a new window)
2021
- Henry Chimal-Dzul - Contributions to the Taxonomy of Rings (opens in a new window)
- Ashley H. Pallone - Entangled Polynomials
2020
- Muhammad, Rebin Abdulkader: On amenable and congenial bases for infinite dimensional algebras (opens in a new window)
- Owusu-Mensah, Isaac: Algebraic structures on the set of all binary operations over a fixed set (opens in a new window)
- Shrestha, Prabha - Application of Influence Function in Sufficient Dimension Reduction Models (opens in a new window) and Study of Some Biologically Relevant Dynamical System Models: (In)stability Regions of Cyclic Solutions in Cell Cycle Population Structure Model Under Negative Feedback and Random Connectivities in Multitype Neuronal Network Models (opens in a new window)
2019
- Ahmed, Shehzad: Progressive ideals in combinatorial set theory (opens in a new window)
- An, Panduan: On analysis of sufficient dimension reduction models (opens in a new window)
- Liu, Qing: On anisotropic functional Fourier deconvolution problem with unknown kernel (opens in a new window)
- Prathom, Kiattisak: Stability Regions of Cyclic Solutions under Negative Feedback and Uniqueness of Periodic Solutions for Uneven Cluster Systems (opens in a new window)
- Stanley, Benjamin: Perspectives on amenability and congeniality of bases (opens in a new window)
2018
- Akinyemi, Lanre: The interface dynamics in the Hele-Shaw cell (opens in a new window)
- Bossaller, Daniel: Some topics in infinite dimensional algebra (opens in a new window)
- Hieta-Aho, Erik: On finite rings, algebras, and error-correcting codes (opens in a new window)
- Li, Zhijian: On applications of semiparametric methods (opens in a new window)
- McClatchey, Nathaniel: Tensors : an adaptive approximation algorithm, convergence in direction, and connectedness properties (opens in a new window)
- Ronquillo Rivera, Javier: Extremely amenable groups and Banach representations (opens in a new window)
- Xin, Ying: Complex dynamical systems : definitions of entropy, proliferation of epithelia and spread of Infections and Information (opens in a new window)
2017
- Darren Simmons: On lagrangian algebras in braided fusion categories (opens in a new window)
- Frank Ballone: Gamma-Sets and the (A, B_[infinity sign] selection principle (opens in a new window)
- Michael Perron: On the structure of independent families (opens in a new window)
2016
- Xue Gong: Dynamical Systems in Cell Division Cycle, Winnerless Competition Models, and Tensor Approximations (opens in a new window)
- Son Nguyen: Topics on Sufficient Dimension Reduction (opens in a new window)
- Bismark Oduro: Mathematical Models of Triatomine (Re)infestation (opens in a new window)
2015
- Lulwah Al-Essa: Modules over Infinite Dimensional Algebras (opens in a new window)
- Gregory Moses: Dynamical systems in biological modeling: clustering in the cell division cycle of yeast (opens in a new window)
- Nicholas Pilewski: Units and Leavitt Path Algebras (opens in a new window)
2014
- Richard Buckalew: Mathematical Models in Cell Cycle Biology and Pulmonary Immunity (opens in a new window)
- Joseph Mastromatteo: The Subprojectivity and Pure-Subinjectivity Domains of a Module (opens in a new window)
2013
- Douglas Hoffman: A Coloring Theorem for Inaccessible Cardinals (opens in a new window)
- Joshua Beal: Matching Problems for Stochastic Processes (opens in a new window)
- Khalid Malaikah: Laplacian Growth: Interface Evolution in a Hele-Shaw Cell (opens in a new window)
2011
- Holston, Christopher: Rings Characterized by their Modules (opens in a new window)
- Moore, Jeremy: On Inverses and Linear Independence (opens in a new window)
- Schwiebert, Ryan (opens in a new window): Faithful Torsion Modules and Rings (opens in a new window)
2010
2009
- Dolph Bosley, Laura (opens in a new window): Applications of elementary submodels in topology (opens in a new window)
- Parra Avila, Benigno Rafael: On Rational and Periodic Power Series and on Sequential and Polycyclic Error-Correcting Codes (opens in a new window)
- Stover, Derrick D: Continuous mappings of some new classes of spaces (opens in a new window)
- Szabo, Steve (opens in a new window): Convolutional Codes with Additional Structure and Block codes over Galois Rings (opens in a new window)
- Thompson, Scotty L. (opens in a new window): Comparing topological spaces using new approaches to cleavability (opens in a new window)
2008
- Blackwood, Brian Scott: A study of partial orders on nonnegative matrices and von Neumann regular rings (opens in a new window)
2007
- Srivastava, Ashish K.: Rings characterized by properties of direct sums of modules and on rings generated by units (opens in a new window)
2006
- Alahmadi, Adel Naif M.: Injectivity, continuity, and CS conditions on group rings (opens in a new window)
2005
- Constantin, Elena: Optimization and flow invariance via high order tangent cones (opens in a new window)
- Castillo, Rene Erlin: Generalized non-autonomous Kato classes and nonlinear Bessel potentials (opens in a new window)
- Al-Hazmi, Husain Suleman S.: A study of CS and [sigma]-CS rings and modules (opens in a new window)
- Lee, Haewon: Nonlinear evolution equations and optimization problems in Banach spaces (opens in a new window)
- Alsulami, Saud M. A: On evolution equations in Banach spaces and commuting semigroups (opens in a new window)
2004
- Voisei, Mircea Dan: First-order necessary optimality conditions for nonlinar optimal control problems (opens in a new window)
2003
- Er, Noyan Fevzi: Rings characterized by direct sums of CS modules (opens in a new window)
- Dinh, Hai Quang: On the structure and equivalence of codes over finite rings (opens in a new window)
2002
- Tynan, John C.: Decompositions of certain classes of nonnegative matrices (opens in a new window)
- Nguyen, Thanh-Lan: On the mild solutions of differential equations on Banach spaces (opens in a new window)
- Liu, Chuan: K-networks and mappings (opens in a new window)
2001
- Ludwig, Lewis D.: Two generalizations of normality : α-normality and β-normality (opens in a new window)
2000
- Kalantan, Lutfi N. H.: On K-normality (opens in a new window)
- Chen, Yuqing: Nonlinear operators and differential equations in abstract spaces (opens in a new window)
1999
- Pavlov, Oleg: Examples in set-theoretic topology (opens in a new window)
- Gao, Shu Chun: Optimal control of partial differential equations with closed range operators (opens in a new window)
- Valuyeva, Julia: On tightness-type properties and on relative dimension concepts (opens in a new window)
- McKibben, Mark A.: Existence theorems for nonlinear functional differential equations (opens in a new window)
1998
- Tartir, Jamal: Relative separation and covering properties in topology (opens in a new window)
- Kanwar, Pramod: On the structure of nonsingular quasi-continuous and CS-rings (opens in a new window)
- Gao, Yun: Initial and boundary value problems for classes of functional differential equations (opens in a new window)
- An, Gang: Periodic solutions to nonlinear wave equations (opens in a new window)
- Schuler, Elena: Admissibility and asymptotic behavior of first and second order differential equations in Banach spaces (opens in a new window)
1997
- Tannan, Sujal Jhingan: Weakly self-injective matrix rings (opens in a new window)
- Barthwal, Savita: Semiperfect CS-rings (opens in a new window)
- Lei, Yansong: Regularized functional calculi for pseudo-differential operators, integro-differential operators, integro-differential equations, and integrated semigroups (opens in a new window)
- Yan, Qingyin: Doubly nonlinear evolution equations in banach spaces (opens in a new window)
- Puin, Christopher C.: Character correspondences and subgroups of operator groups (opens in a new window)
- Friedman, Boris A.: Prime divisors of Schur indices and degrees of Brauer characters in finite solvable groups (opens in a new window)
1996
- Yao, Fuyuan: C-regularized semigroups, C-existence families, differential operators and abstract cauchy problems (opens in a new window)
- Xie, Nandi: Derived length of solvable permutation groups (opens in a new window)
- Hrinca, Ioan (opens in a new window): Optimal control of Lotka-Volterra systems with distributed states (opens in a new window)
- Syed, Safdar Raza: Rings in which every (finitely generated) right ideal is quasi-continuous and mutually injective hulls (opens in a new window)
1995
- Ding, Yimin: Volterra integral equations in Banach spaces (opens in a new window)
- Kline, Jeannette L.: Statistical convergence and densities generated by sequences of measures (opens in a new window)
1994
- Wang, Gengsheng: Optimal control problems of some parabolic differential equations (opens in a new window)
1993
- Saleh, Mohammad Ali: A study on weakly projective modules (opens in a new window)
1992
- Schommer, John Joseph: Nearly realcompact and nearly pseudocompact spaces (opens in a new window)
- Cho, Myung Hyun: Conditions under which countable-compact-covering maps are compact-covering (opens in a new window)
1991
- Cai, Zhixiong: Antiperiodic boundary value problems for differential equations with monotone operators in Banach spaces (opens in a new window)
- Huzali, Abdullah H.: A study of the weak relative injectivity of rings and modules (opens in a new window)
1990
- Coutant, Basil William: Cardinal function dualities between a space X and its continuous real-valued functions (opens in a new window)
- Yusof Bin Yaacob: Periodic solutions of some functional differential equations with state-dependent delays (opens in a new window)
1989
- Wang, You-Qiang: The p-parts of Brauer character degrees in p-solvable groups (opens in a new window)
- Wu, Ta-hsin: Some results for the two-dimensional Korteweg-de Vries equation (opens in a new window)
- Miller, Edward S.: Isocompactness properties characterized by maximal open ideals (opens in a new window)
- Huang, Yong K.: Functional differential equations with piecewise constant arguments (opens in a new window)
- Gunawardena, Ananda D. (opens in a new window): Nonnegative matrices and applications to linear systems (opens in a new window)
1988
- Soewono, Edy: Stability of traveling wave solutions of the power KdV equation (opens in a new window)
- Chen, Yunkai: Periodic traveling wave solutions to the two-dimensional Korteweg- deVries equations (opens in a new window)
1987
- Hudak, Michael W.: Applications of forcing to cardinal invariants of the continuum (opens in a new window)
1986
- Saleh, Husni H.: Rings whose cyclic modules have cyclic injective hulls and their generalizations (opens in a new window)
- Kelsey, Ralph W.: Solitary wave solutions to nonlinear dispersive evolution equations and reduction of complex nonlinear systems in one and several dimensions (opens in a new window)
1985
1984
- Grabner, Elise M.: Pre-images of certain generalized metric spaces (opens in a new window)
1982
1981
- Swardson, Mary Anne (opens in a new window): Generalizations of F-spaces and some topological characterizations of the generalized continuum hypothesis (opens in a new window)
1980
- Grabner, Gary C.: A study of topological spaces having bases of subinfinite rank and related topics (opens in a new window)
1978
- Konrad, Michel: A mathematical structure (opens in a new window)
- Kwak, Edward Kyungsoon: Nonnegative -monotone matrices (opens in a new window)
- Aborn, Bruce J: Generalized growth and approximation of analytic functions of one or more complex variables (opens in a new window)
1977
- Goel, Vijay Kumar: A study of torsion and cotorsion radicals, and pi-injectivity (opens in a new window)
1976
- Davis, Sheldon W.: A study of certain classes of isocompact spaces and of the relationships among them (opens in a new window)
- Bender, Paul J.: Nonlinear programming in normed linear spaces (opens in a new window)
1975
- Bogda, Richard A.: On the growth of analytic functions defined in disks of finite radii (opens in a new window)
- Symonds, Robin G.: A study of rings whose proper cyclic modules are quasi-injective (opens in a new window)
1974
- Baer, Robert Duane: An approach to geometry: an axiomatic development of Euclidean plane geometry via isometries (opens in a new window)
- James, Thomas Ray: The theory of completeness settings (opens in a new window)
1973
- Gosnell, Russell J.: A unifying approach to some structures of general topology (opens in a new window)
1972
- Wegener, Delano P.: Primitive pythagorean triangles and primes (opens in a new window)