# 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."

### 2022

- Murdhy Aldawasari: On non-homogeneous reflections via Dirichlet-to-Neumann and Robin-to-Neumann operators
- Herath Mudiyanselage Indupama Umayangi Herath: Multivariate Regression using Neural Networks and Sums of Separable Functions
- Kevin Patrick Pomorski: On Braided Monoidal 2-Categories
- Timothy Schenkel: On Graph Algebras
- Majed Husain Zailaee: Amenable bases over infinite dimensional algebras
- Mohmmad Hussein Zailai: Topological Field Theories with Defects

### 2021

- Henry Chimal-Dzul -
**Contributions to the Taxonomy of Rings** - Ashley H. Pallone -
**Entangled Polynomials**

### 2020

- Muhammad, Rebin Abdulkader:
**On amenable and congenial bases for infinite dimensional algebras** - Owusu-Mensah, Isaac:
**Algebraic structures on the set of all binary operations over a fixed set** - Shrestha, Prabha -
**Application of Influence Function in Sufficient Dimension Reduction Models**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**

### 2019

- Ahmed, Shehzad:
**Progressive ideals in combinatorial set theory** - An, Panduan:
**On analysis of sufficient dimension reduction models** - Liu, Qing:
**On anisotropic functional Fourier deconvolution problem with unknown kernel** - Prathom, Kiattisak:
**Stability Regions of Cyclic Solutions under Negative Feedback and Uniqueness of Periodic Solutions for Uneven Cluster Systems** - Stanley, Benjamin:
**Perspectives on amenability and congeniality of bases**

### 2018

- Akinyemi, Lanre:
**The interface dynamics in the Hele-Shaw cell** - Bossaller, Daniel:
**Some topics in infinite dimensional algebra** - Hieta-Aho, Erik:
**On finite rings, algebras, and error-correcting codes** - Li, Zhijian:
**On applications of semiparametric methods** - McClatchey, Nathaniel:
**Tensors : an adaptive approximation algorithm, convergence in direction, and connectedness properties** - Ronquillo Rivera, Javier:
**Extremely amenable groups and Banach representations** - Xin, Ying:
**Complex dynamical systems : definitions of entropy, proliferation of epithelia and spread of Infections and Information**

### 2017

- Darren Simmons:
**On lagrangian algebras in braided fusion categories** - Frank Ballone:
**Gamma-Sets and the (A, B_[infinity sign] selection principle** - Michael Perron:
**On the structure of independent families**

### 2016

- Xue Gong:
**Dynamical Systems in Cell Division Cycle, Winnerless Competition Models, and Tensor Approximations** - Son Nguyen:
**Topics on Sufficient Dimension Reduction** - Bismark Oduro:
**Mathematical Models of Triatomine (Re)infestation**

### 2015

- Lulwah Al-Essa:
**Modules over Infinite Dimensional Algebras** - Gregory Moses:
**Dynamical systems in biological modeling: clustering in the cell division cycle of yeast** - Nicholas Pilewski:
**Units and Leavitt Path Algebras**

### 2014

- Richard Buckalew:
**Mathematical Models in Cell Cycle Biology and Pulmonary Immunity** - Joseph Mastromatteo:
**The Subprojectivity and Pure-Subinjectivity Domains of a Module**

### 2013

- Douglas Hoffman:
**A Coloring Theorem for Inaccessible Cardinals** - Joshua Beal:
**Matching Problems for Stochastic Processes** - Khalid Malaikah:
**Laplacian Growth: Interface Evolution in a Hele-Shaw Cell**

### 2011

- Holston, Christopher:
**Rings Characterized by their Modules** - Moore, Jeremy:
**On Inverses and Linear Independence** - Schwiebert, Ryan:
**Faithful Torsion Modules and Rings**

### 2010

- Botts, Ryan:
**Recovery and Analysis of Regulatory Networks from Expression Data Using Sums of Separable Functions**

### 2009

- Dolph Bosley, Laura:
**Applications of elementary submodels in topology** - Parra Avila, Benigno Rafael:
**On Rational and Periodic Power Series and on Sequential and Polycyclic Error-Correcting Codes** - Stover, Derrick D:
**Continuous mappings of some new classes of spaces** - Szabo, Steve:
**Convolutional Codes with Additional Structure and Block codes over Galois Rings** - Thompson, Scotty L.:
**Comparing topological spaces using new approaches to cleavability**

### 2008

- Blackwood, Brian Scott:
**A study of partial orders on nonnegative matrices and von Neumann regular rings**

### 2007

- Srivastava, Ashish K.:
**Rings characterized by properties of direct sums of modules and on rings generated by units**

### 2006

### 2005

- Constantin, Elena:
**Optimization and flow invariance via high order tangent cones** - Castillo, Rene Erlin:
**Generalized non-autonomous Kato classes and nonlinear Bessel potentials** - Al-Hazmi, Husain Suleman S.:
**A study of CS and [sigma]-CS rings and modules** - Lee, Haewon:
**Nonlinear evolution equations and optimization problems in Banach spaces** - Alsulami, Saud M. A:
**On evolution equations in Banach spaces and commuting semigroups**

### 2004

- Voisei, Mircea Dan:
**First-order necessary optimality conditions for nonlinar optimal control problems**

### 2003

- Er, Noyan Fevzi:
**Rings characterized by direct sums of CS modules** - Dinh, Hai Quang:
**On the structure and equivalence of codes over finite rings**

### 2002

- Tynan, John C.:
**Decompositions of certain classes of nonnegative matrices** - Nguyen, Thanh-Lan:
**On the mild solutions of differential equations on Banach spaces** - Liu, Chuan:
**K-networks and mappings**

### 2001

- Ludwig, Lewis D.:
**Two generalizations of normality : α-normality and β-normality**

### 2000

- Kalantan, Lutfi N. H.:
**On K-normality** - Chen, Yuqing:
**Nonlinear operators and differential equations in abstract spaces**

### 1999

- Pavlov, Oleg:
**Examples in set-theoretic topology** - Gao, Shu Chun:
**Optimal control of partial differential equations with closed range operators** - Valuyeva, Julia:
**On tightness-type properties and on relative dimension concepts** - McKibben, Mark A.:
**Existence theorems for nonlinear functional differential equations**

### 1998

- Tartir, Jamal:
**Relative separation and covering properties in topology** - Kanwar, Pramod:
**On the structure of nonsingular quasi-continuous and CS-rings** - Gao, Yun:
**Initial and boundary value problems for classes of functional differential equations** - An, Gang:
**Periodic solutions to nonlinear wave equations** - Schuler, Elena:
**Admissibility and asymptotic behavior of first and second order differential equations in Banach spaces**

### 1997** **

- Tannan, Sujal Jhingan:
**Weakly self-injective matrix rings** - Barthwal, Savita:
**Semiperfect CS-rings** - Lei, Yansong:
**Regularized functional calculi for pseudo-differential operators, integro-differential operators, integro-differential equations, and integrated semigroups** - Yan, Qingyin:
**Doubly nonlinear evolution equations in banach spaces** - Puin, Christopher C.:
**Character correspondences and subgroups of operator groups** - Friedman, Boris A.:
**Prime divisors of Schur indices and degrees of Brauer characters in finite solvable groups**

### 1996

- Yao, Fuyuan:
**C-regularized semigroups, C-existence families, differential operators and abstract cauchy problems** - Xie, Nandi:
**Derived length of solvable permutation groups** - Hrinca, Ioan:
**Optimal control of Lotka-Volterra systems with distributed states** - Syed, Safdar Raza:
**Rings in which every (finitely generated) right ideal is quasi-continuous and mutually injective hulls**

### 1995

- Ding, Yimin:
**Volterra integral equations in Banach spaces** - Kline, Jeannette L.:
**Statistical convergence and densities generated by sequences of measures**

### 1994

- Wang, Gengsheng:
**Optimal control problems of some parabolic differential equations**

### 1993

- Saleh, Mohammad Ali:
**A study on weakly projective modules**

### 1992

- Schommer, John Joseph:
**Nearly realcompact and nearly pseudocompact spaces** - Cho, Myung Hyun:
**Conditions under which countable-compact-covering maps are compact-covering**

### 1991

- Cai, Zhixiong:
**Antiperiodic boundary value problems for differential equations with monotone operators in Banach spaces** - Huzali, Abdullah H.:
**A study of the weak relative injectivity of rings and modules**

### 1990

- Coutant, Basil William:
**Cardinal function dualities between a space X and its continuous real-valued functions** - Yusof Bin Yaacob:
**Periodic solutions of some functional differential equations with state-dependent delays**

### 1989

- Wang, You-Qiang:
**The p-parts of Brauer character degrees in p-solvable groups** - Wu, Ta-hsin:
**Some results for the two-dimensional Korteweg-de Vries equation** - Miller, Edward S.:
**Isocompactness properties characterized by maximal open ideals** - Huang, Yong K.:
**Functional differential equations with piecewise constant arguments** - Gunawardena, Ananda D.:
**Nonnegative matrices and applications to linear systems**

### 1988

- Soewono, Edy:
**Stability of traveling wave solutions of the power KdV equation** - Chen, Yunkai:
**Periodic traveling wave solutions to the two-dimensional Korteweg- deVries equations**

### 1987

- Hudak, Michael W.:
**Applications of forcing to cardinal invariants of the continuum**

### 1986

- Saleh, Husni H.:
**Rings whose cyclic modules have cyclic injective hulls and their generalizations** - Kelsey, Ralph W.:
**Solitary wave solutions to nonlinear dispersive evolution equations and reduction of complex nonlinear systems in one and several dimensions**

### 1985

### 1984

- Grabner, Elise M.:
**Pre-images of certain generalized metric spaces**

### 1982

- Ruth, Rick E:
**Complete [Sigma]-spaces and [Theta]-spaces**

### 1981

- Swardson, Mary Anne:
**Generalizations of F-spaces and some topological characterizations of the generalized continuum hypothesis**

### 1980

### 1978

- Konrad, Michel:
**A mathematical structure** - Kwak, Edward Kyungsoon:
**Nonnegative -monotone matrices** - Aborn, Bruce J:
**Generalized growth and approximation of analytic functions of one or more complex variables**

### 1977

- Goel, Vijay Kumar:
**A study of torsion and cotorsion radicals, and pi-injectivity**

### 1976

- Davis, Sheldon W.:
**A study of certain classes of isocompact spaces and of the relationships among them** - Bender, Paul J.:
**Nonlinear programming in normed linear spaces**

### 1975

- Bogda, Richard A.:
**On the growth of analytic functions defined in disks of finite radii** - Symonds, Robin G.:
**A study of rings whose proper cyclic modules are quasi-injective**

### 1974

- Baer, Robert Duane:
**An approach to geometry: an axiomatic development of Euclidean plane geometry via isometries** - James, Thomas Ray:
**The theory of completeness settings**

### 1973

- Gosnell, Russell J.:
**A unifying approach to some structures of general topology**

### 1972

- Wegener, Delano P.:
**Primitive pythagorean triangles and primes**