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Mathematics & Statistics

Alle Adjiri

- Dissertation:
*Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions* - Advisor: W. Ma

Azizah Alrajhi

- Dissertation:
*Zeros of Harmonic Polynomials and Related Applications* - Advisor: C. Bénéteau

Fudong Wang

- Dissertation:
*Long-time Asymptotics for mKDV Type Reduced Equations of the AKNS Hierarchy in Weighted \(L^2\) Sobolev Spaces* - Advisor: W. Ma

Jasper Braun

- Dissertation:
*Discrete Models and Algorithms for Analyzing DNA Rearrangements* - Advisors: N. Jonoska and M. Saito

Robert D. Freeman

- Dissertation:
*On the \(p(x)\)-Laplace equation in Carnot groups* - Advisor: T. Bieske

Chi Phan

- Dissertation:
*Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics* - Advisor: Y. You

Vasile Pop

- Dissertation:
*Restricted Isometric Projections for Differentiable Manifolds and Applications* - Advisors: R. Teodorescu and I. Teodorescu

Brian Tuesink

- Dissertation:
*On Some Problems on Polynomial Interpolation in Several Variables* - Advisor: B. Shekhtman

Emanuele Zappala

- Dissertation:
*Non-Associative Algebraic Structures in Knot Theory* - Advisors: M. Elhamdadi and M. Saito

Amine Ben Abdeljelil

- Dissertation:
*Generalized Derivations of Ternary Lie Algebras and \(n\)-BiHom-Lie Algebras* - Advisor: M. Elhamdadi

Maryam Bagherian

- Dissertation:
*Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries* - Advisor: S. Kouchekian

Daniel A. Cruz

- Dissertation:
*Hierarchical Self-Assembly and Substitution Rules* - Advisor: N. Jonoska

John Theado

- Dissertation:
*An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs* - Advisor: B. Nagle

Elsayed Ahmed

- Dissertation:
*Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees* - Advisor: D. Savchuk

Wael Al-Sawai

- Dissertation:
*Non-equilibrium Phase Transition in Interacting Diffusions* - Advisors: R. Teodorescu and A. Barbos

Matthew J. Green

- Dissertation:
*Generalizations of Quandles and their Cohomologies* - Advisor: M. Elhamdadi

Xiang Gu

- Dissertation:
*Hamiltonian Structures and Riemann-Hilbert Problems of Integrable Systems* - Advisor: W. Ma

Gregory Churchill

- Dissertation:
*On Extending Hansel's Theorem to Hypergraphs* - Advisor: B. Nagle

Indu Rasika U. Churchill

- Dissertation:
*Contributions to Quandle Theory: A Study of \(f\)-Quandles, Extensions and Cohomology* - Advisors: M. Elhamdadi and A. Makhlouf

Kumar Vijay Garapati

- Dissertation:
*Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings* - Advisor: S. Kouchekian

Morgan McAnally

- Dissertation:
*Generalized D-Kaup-Newell integrable sysems and their integrable couplings and Darboux transformations* - Advisor: W. Ma

Yuan Zhou

- Dissertation:
*Lump, Complexiton and Algebro-Geometric Solutions to Soliton Equations* - Advisor: W. Ma

Matthew C. Fleeman

- Dissertation:
*Putnamâ€™s Inequality and Analytic Content in the Bergman Space* - Advisor: D. Khavinson

Stephen D. Lappano

- Dissertation:
*Some Results Concerning Permutation Polynomials over Finite Fields* - Advisor: X. Hou

Solomon Manukure

- Dissertation:
*Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of \((1+1)\)-Dimensional Nonlinear Evolution Equations* - Advisor: W. Ma

Junyi Tu

- Dissertation:
*Global Attractors and Random Attractors of Reaction Diffusion Systems* - Advisor: Y. You

Syed Zoalroshd

- Dissertation:
*On Spectral Properties of Single Layer Potentials* - Advisor: D. Khavinson

Daria Karpenko

- Dissertation:
*Active Tile Self-assembly and Simulations of Computational Systems* - Advisor: N. Jonoska

Jonathan Burns

- Dissertation:
*Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability* - Advisors: A. Grinshpan and N. Jonoska

Teffera Asfaw

- Dissertation:
*Topological Degree and Variational Inequality Theories for Pseudomonotone Perturbations of Maximal Monotone Operators* - Advisor: A. Kartsatos

Lisa De Castro

- Dissertation:
*Analytic Functions with Real Boundary Values in Smirnov Classes \(E^p\)* - Advisor: D. Khavinson

Egor Dolzhenko

- Dissertation:
*Modeling State Transitions With Automata* - Advisor: N. Jonoska

Waththage Neranga Fernando

- Dissertation:
*A Study of Permutation Polynomials over Finite Fields* - Advisor: X. Hou

Joseph Van Name

- Dissertation:
*Boolean Partition Algebras* - Advisor: V. Totik

Alrazi Abdeljabbar

- Dissertation:
*Wronskian, Grammian and Pfaffian solutions to nonlinear partial differential equations* - Advisor: W-X. Ma

Magdy Assad

- Dissertation:
*Pfaffian and Wronskian solutions to integrable generalized nonlinear partial differential equations* - Advisor: W-X. Ma

Jill Dizona

- Dissertation:
*On Algorithmic Fractional Packings of Hypergraphs* - Advisor: B. Nagle

Jinghan Meng

- Dissertation:
*Bi-Integrable and Tri-Integrable Couplings and Their Hamiltonian Structures* - Advisor: W-X. Ma

Tilahun Muche

- Dissertation:
*Hamiltonian Sets of Polygonal Paths in 4-Valent Spatial Graphs* - Advisor: N. Jonoska

Erik Lundberg

- Dissertation:
*Problems in Classical Potential Theory with Applications to Mathematical Physics* - Advisor: D. Khavinson

Enver Karadayi

- Dissertation:
*Topics in Random Knots and R-Matrices from Frobenius Algebras* - Advisor: M. Saito

Kevin P. Wagner

- Dissertation:
*A Generalized Acceptance Urn Model* - Advisor: S. Suen

Angela Angeleska

- Dissertation:
*Combinatorial Models for DNA Rearrangements in Ciliates* - Advisors: N. Jonoska and M. Saito

Elliot M. Findley

- Dissertation:
*Fine Asymptotics of Christoffel Functions and Universality for Szegö Weights in the Complex Plane* - Advisor: V. Totik

Irena Andreevska

- Dissertation:
*Mathematical Modeling and Analysis of Options With Jump-Diffusion Volatility* - Advisor: Y. You

Rodney M. Taylor

- Dissertation:
*Lagrange Interpolation on Leja Points* - Advisor: V. Totik

Dhruba R. Adhikari

- Dissertation:
*Applications of Degree Theories to Nonlinear Operator Equations in Banach Spaces* - Advisor: A. G. Kartsatos

Ibtisam Daqqa

- Dissertation:
*Subconstituent Algebras of Latin Squares* - Advisor: B. Curtin

John C. Davis, III

- Dissertation:
*Identification of Parameters When the Density of the Minimum is Given* - Advisor: A. Mukherjea

Daniela Genova

- Dissertation:
*Forbidding and Enforcing of Formal Languages, Graphs and Partially-Ordered Sets* - Advisor: N. Jonoska

Boubakari Ibrahimou

- Dissertation:
*The Leray-Schauder Approach for the Topological Degree of Perturbed Maximal Monotone Operators* - Advisor: A. G. Kartsatos

Michiru Shibata

- Dissertation:
*Pricing Models and Analysis of Corporate Coupon-Bonds and Credit Default Swaptions* - Advisor: Y. You

Ana Staninska

- Dissertation:
*A Theoretical Model for Self-assembly of Flexible Tiles* - Advisors: N. Jonoska and G. McColm

Kheira Ameur

- Dissertation:
*Polynomial Quandle Cocycles, Their Knot Invariants and Applications* - Advisor: M. Saito

Edgardo S. Cureg

- Dissertation:
*Some Problems on Products of Random Matrices* - Advisor: A. Mukherjea

Jemal E. Gishe

- Dissertation:
*A Finite Family of \(q\)-Orthogonal Polynomials and Resultants of Chebyshev Polynomials* - Advisor: M. E.-H. Ismail

Joseph O. Quarcoo

- Dissertation:
*Contributions to the Degree Theory for Perturbations of Maximal Monotone Maps* - Advisor: A. G. Kartsatos

Joni B. Pirnot

- Dissertation:
*Recognizable Languages Defined by Two-Dimensional Shift Spaces* - Advisor: N. Jonoska

Ferenc Tookos

- Dissertation:
*Hölder Continuity of Green's Functions* - Advisor: V. Totik

Djiby Fall

- Dissertation:
*Longtime Dynamics of Hyperbolic Evolutionary Equations in Unbounded Domains and Lattice Systems* - Advisor: Y. You

David E. Kephart

- Dissertation:
*Topology, Morphism, and Randomness in the Space of Formal Language* - Advisor: N. Jonoska

Norbert N. Youmbi

- Dissertation:
*Probability Theory on Semihypergroups* - Advisor: A. Mukherjea

Kalpana Mahalingam

- Dissertation:
*Involution Codes: with Application to DNA Strand Design* - Advisor: N. Jonoska

Hasan H. Al-Najjar

- Dissertation:
*Tridiagonal Pairs in Representation Theory* - Advisor: B. Curtin

Ahmed Y. Abdallah

- Dissertation:
*Global Dynamics of Damped Boussinesq Equations* - Advisor: Y. You

Marina Appiou-Nikiforou

- Dissertation:
*Extensions of Quandles and Cocycle Knot Invariants* - Advisor: M. Saito

David P. Benko

- Dissertation:
*Approximation by Weighted Polynomials* - Advisor: V. Totik

Viktor V. Maymeskul

- Dissertation:
*On Some Problems in Complex and Multivariate Approximation and Interpolation* - Advisor: E. B. Saff

Ming Dai

- Dissertation:
*Identification of the Parameters of a Multivariate Normal Distribution by the Distribution of the Maximum* - Advisor: A. Mukherjea

Daniel D. Jelsovsky

- Dissertation:
*Quandle Cohomology and State-Sum Invariants of Knots* - Advisor: M. Saito

Ivan V. Ivanov

- Dissertation:
*Linear Discrete Operators and Recovery in Uniform Algebras* - Advisors: B. Shekhtman and E. Rakhmanov

Lubomir P. Markov

- Dissertation:
*An \(L^2\)-Approach to Second Order Functional Evolutions in Banach Spaces* - Advisor: A. G. Kartsatos

Peter D. Dragnev

- Dissertation:
*Constrained Energy Problems for Logarithmic Potentials* - Advisor: E. B. Saff

Jing Lin

- Dissertation:
*Homotopy Invariance of Time-Dependent Domains and Perturbation Theory for Nonlinear Operators in Banach Spaces* - Advisor: A. G. Kartsatos

Jifeng Ma

- Dissertation:
*Spectrum of Some Integral Operators* - Advisor: M. E.-H. Ismail

Plamen C. Simeonov

- Dissertation:
*Weighted Polynomial and Rational Approximation With Varying Weights* - Advisors: E. B. Saff and V. Totik

Sergey V. Belyi

- Dissertation:
*Operator-Valued \(R\)-Functions in the Theory of Linear Dynamic Systems* - Advisor: A. G. Kartsatos

Zouhua Ding

- Dissertation:
*Contributions to the Theory of the Existence of Zeros of Perturbations of Nonlinear \(M\)-Accretive Operators in Banach Spaces* - Advisor: A. G. Kartsatos

Subhankar Dhar

- Dissertation:
*Probability Measures on Stochastic Matrices* - Advisor: A. Mukherjea

Mohamed A. Elnaggar

- Dissertation:
*Identification of the Parameters of a Multivariate Normal Distribution by the Distribution of the Minimum* - Advisor: A. Mukherjea

Michael Q. Rieck

- Dissertation:
*Pseudo-Orthogonal Complementary Subspaces and Hyperbolic Partner Graphs* - Advisor: W. E. Clark

Vladimir F. Veselov

- Dissertation:
*A Compactification of the Fatou Mapping as a Dynamical System* - Advisors: R. W. Oberste-Vorth and J. H. Hubbard

Guoqui Lu

- Dissertation:
*Markov Processes With Random Transition Probabilities* - Advisor: A. Mukherjea

Igor E. Pritsker

- Dissertation:
*Convergence and Zero Distribution of Laurent-Type Rational Functions* - Advisor: E. B. Saff

Margaret A. Yoder

- Dissertation:
*String Rewriting Applied to Problems in the Braid Groups* - Advisor: J. F. Pedersen

Yanmu Zhou

- Dissertation:
*Arrangement of Points on the Sphere* - Advisor: E. B. Saff

Tony Y. Chang

- Dissertation:
*Domination Numbers of Grid Graphs* - Advisor: W. E. Clark