Master Theses | Department of Mathematics

MAQRM

YEAR	AUTHOR	TITLE	ADVISOR
2024	Gonzalez, Daniel	Analysis of the Noether Normalization Lemma in Atiyah and MacDonald and a Constructive Proof	Ivo Herzog
2023	Zhang, Siqi	Classification for Synthetic Aperture Radar Ship Image of the Ship Targets under the Few-Shot Condition	Ban, Chunsheng
2020	Hu, Tengmu	Zooming Algorithm for Lipschitz Bandit with Safety Constraint	Ban, Chunsheng
2020	Zhao, Chen	Evaluating Health Policy Effect with Generalized Linear Model and Generalized Estimating Equation Model	Ban, Chunsheng
2019	Wang, Guanqian	Some Optimization Algorithms for the Mean Curvature Flow Under Rough Initial Conditions	Ban, Chunsheng

MMS-BIO (no longer offered)

YEAR	AUTHOR	TITLE	ADVISOR
2021	Alvarado, Chance	The Effects of University Testing Regimes on the Burden of COVID-19	Tien, Joseph & Rempala, Grzegorz
2021	Lee, Russell	Persistence of a Single Phytoplankton Species in a Water Column with Time-Periodic Light Intensity	Lou, Yuan
2021	Teria, Rodney	Cellular Iron Homeostasis Mechanisms in Colon Cells and Erythrocytes	Best, Janet
2020	de Oliveira, Ebenezer	Computations of the interface in two-fluid Couette flow	Tanveer, Saleh
2020	Marrero Garcia, Hilary	A Geometric Analysis Approach to Distinguish Basal Serotonin Levels in Control and Depressed Mice	Best, Janet
2020	Wood, Emily	Analysis of SIS Patch Model and Development of a Modified SEIR Model Applied to the Current Opiate Crisis	Lou, Yuan
2019	Lumpkin, Robert	Parameter Classification and Analysis of Neuronal Systems with Astrocytic Modulation of Behaviour	Terman, David
2018	Rizvi, Faiz	Cluster Analysis of Reaction Time for Children in 5-12 Year Age Groups	Best, Janet
2017	Del Negro Skeehan, Willa	Staged Progression and Retrogression Model of Influenza	Tien, Joseph
2017	Hamida, Youcef	The Evolution of Dispersal for the Case of Two-Patches and Two-Species with Travel Loss	Lou, Yuan
2017	Helba, Johanna	A dynamical model of campylobacteriosis in Ohio	Tien, Joseph
2017	Huynh, Linh	Clustering Sleep-Wake Transitions in Electromyography Data	Best, Janet
2017	Plourde, Shayne	Modeling Pollen Aperture Formation with the Gierer-Meinhardt Model	Dawes, Adriana
2017	Senel, Gunes	The Multigrid Method	Overman, Ed & Xue, Chuan
2016	Henry, John	Modelling Differences in MCP-1 Levels During Early Tuberculosis Infection in Diabetics	Friedman, Avner
2016	Martinez-Soto, Eduan	Understanding the Role of Health Care Workers in a Trade-off Model between Contact and Transmission for Ebola Virus Disease	Tien, Joseph
2016	Rodriguez, Evelyn	Mathematical Model of Neurochemical Mechanisms in a Single GABA Neuron	Best, Janet
2016	Toy, Jonathan	A Nonlocal Model for the Segregation of Axonal Microtubules and Neurofilaments in Neurodegenerative Diseases	Xue, Chuan
2016	Williamson, Carly	A Computational Model of Divergent Pattern Formation in Caenorhabditis elegans and Caenorhabditis briggsae Vulval Development	Dawes, Adriana
2015	Anderson, Kerri-Ann	A Mathematical Model of Cytokinetic Morphogenesis	Chou, Ching-Shan
2015	Feldges, Robert	Mathematical Model of the Combined Effect of IL-6, TGF-beta and TNF-alpha on Pancreatic Stellate Cell Activation	Friedman, Avner
2015	Foss, Susan	Modeling the Aggregation of Interacting Neurofilaments in the Axon	Xue, Chuan
2015	Glover, Catherine	A Mathematical Model of the 2014 Ohio Measles Outbreak to Assess the Effectiveness of the Public Health Response	Tien, Joseph
2015	Kim, Jiae	Effects of Surfactant Proteins A and D on Infection with Mycobacterium Tuberculosis	Friedman, Avner
2015	Wagh, Niraj	Social Media Use and STI Incidence in Men Who Have Sex With Men	Dawes, Adriana
2014	Deger, Kristen	Modeling the Tradeoff between Transmission and Movement in Infectious Disease Dynamics	Tien, Joseph
2014	Kravtsova, Natalia	Theoretical Investigation of Cell Polarity Initiation in the Early C. Elegans Embryo	Dawes, Adriana
2014	Pritchard, Adaleigh	Modeling End-to-End Annealing of Intermediate Filaments	Xue, Chuan
2013	Batty, Christopher	Examining the implications of a 7th grade pertussis booster program in the state of Ohio	Tien, Joseph
2013	Durney, Clinton	A two-component model for bacterial chemotaxis	Xue, Chuan
2013	Ford, Mauntell	Obesity induced colorectal cancer	Friedman, Avner
2013	Kinderknecht, Kelsy	Sleep inertia in children	Best, Janet
2013	Narayan, Monisha	The role of CDC42 in the budding pattern of haploid budding yeast	Chou, Ching-Shan
2013	Smith, Heather	A mathematical study of purchasing airline tickets	Lou, Yuan
2012	Brostoff, Noah	Endemicity and the carrier class: modeling foot-and-mouth disease in the Lake Chad Basin, Cameroon	Tien, Joseph
2012	Campbell, Leah	Exploring Differences in Pediatric and Adult Sleep: Two Mathematical Investigations	Best, Janet
2012	Frank, Kyle	A mathematical model of Leishmania in macrophages	Friedman, Avner
2012	Udiani, Oyita	Stability analysis of male aggression levels in a coercive mating model	Lou, Yuan
2011	Bokides, Dessa	The influence of female movement in response to male aggression in a coercive mating system	Lou, Yuan
2011	Dunworth, Jeffrey	Nonlinear incidence of waterborne diseases	Tien, Joseph
2011	Park, Suh Yeong	Modeling tsetse fly host preference and African trypanosomiasis in Cameroon	Tien, Joseph
2011	Pirc, Alycia	Modeling temperature-sensitive neural networks in the hypothalamus	Best, Janet
2011	Williams, Katherine	The effects of cell-surface composition on natural killer cell activation: a modeling study	Friedman, Avner
2011	Young, Alexander	A differential equation model of Ets2 driven bistability of TFG-beta concentration	Friedman, Avner

MMS-CPS (no longer offered)

YEAR	AUTHOR	TITLE	ADVISOR
2021	Brown, Hannah	Data Driven Modeling of Dynamics	Xiu, Dongbin
2021	Hunter, Joseph	Stability Analysis of Implicit Explicit Runge-Kutta Discontinous Galerkin Methods for Convection-Dispersion Equations	Xing, Yulong
2021	Mussmann, Thomas	Data Driven Learning of Dynamical Systems Using Neural Networks	Xiu, Dongbin
2020	Chen, Yidi	A Numerical Study of Multi-class Traffic Flow Models	Xing, Yulong
2020	Gomez-Leos, Enrique	On 4-Free Sets	Bergelson, Vitaly & Johnson, John
2020	Lu, Tien-hsin	SqueezeFit Linear Program: Fast and Robust Label-aware Dimensionality Reduction	Mixon, Dustin
2019	Caldwell, Mark	Modeling blood vessels and oxygen diffusion into brain tissue	Terman, David
2019	Hance, Elizabeth	Movement of the Male Germ Unit in Pollen Tubes	Xue, Chuan
2019	Slover, Nichole	The Evolution of Dispersal in Two-Dimensional Habitats	Lou, Yuan
2019	Yin, Ying	Shape Classification via Optimal Transport and Persistent Homology	Memoli, Facundo
2019	Zha, Xiao	Topological Data Analysis on Road Network Data	Memoli, Facundo
2018	Pineda, Gerwin	An application of the LLL algorithm to integer factorization	Hiary, Ghaith
2017	Elchesen, Alexander	Stability of Zigzag Persistence with Respect to a Reflection-type Distance	Memoli, Roberto Facundo
2017	Guzman Roca, Juan	Quantification of track-weighted functional connectivity longitudinally during Constraint Induced Movement Therapy for poststroke hemiparesis: An application of Graph Theory	Overman, Edward
2017	Hall, Brenton	Using the Non-Uniform Dynamic Mode Decomposition to Reduce the Storage Required for PDE Simulations	Chou, Ching-Shan
2017	Neidecker, Peter	Modifying ShortLoop Software to run in Higher Dimensions	Dey, Tamal
2017	O'Neal, Jared	A Numerical Study of a Disorder-driven 2D Mott Insulator-to-Metal Quantum Phase Transition	Overman, Edward
2017	Lee, Ray	Application of the Traveling Wave Concept to Spreading Depolarization	Terman, David
2017	Sterle, Lance	Modeling Path Dependent Derivatives Using CUDA Parallel Platform	Ban, Chunsheng
2017	Sutherland, James	Zeros, Zeros, Zeros: How to Find Them	Overman, Edward
2016	Wood, Dylan	Solving Unsteady Convection-Diffusion Problems in One and More Dimensions with Local Discontinuous Galerkin Methods and Implicit-Explicit Runge-Kutta Time Stepping	Overman, Edward & Kubatko, Ethan
2015	Drag, Melvyn	Epithelium: The lightweight, customizable epithelial tissue simulator	Overman, Edward & Sotomayor, Marcus
2014	Russell, Mary	Investigation of Multicomponent MRI Relaxation Data with Stochastic Contraction Fitting Algorithm	Baker, Gregory
2014	Yu, Jing	Iterative Solution of Boundary Integral Equations for Shallow Water Waves	Baker, Gregory

MMS-EDU (no longer offered)

YEAR	AUTHOR	TITLE	ADVISOR
2021	Kronick, Zac	Orthogonal Polynomials, Concentration Principle, and the Black-Scholes Formula	Stan, Aurel
2020	Buie-Collard, Geoffrey	Helping Students Affected With Mathematics Disorders Learn Mathematics	Costin, Rodica & Battista, Michael
2020	Bushman, Nathan	Hypercomplex Numbers and Early Vector Systems: A History	Cogdell, James
2020	Jiang, Qitong	Euler Characteristic Transform of Shapes in 2D Digital Images as Cubical Sets	Fowler, James
2019	Gray, Erin	Productive Struggle: How Struggle in Mathematics Can Impact Teaching and Learning	Costin, Rodica
2018	Bedich, Joseph	An Introduction to the Happy Ending Problem and the Erdős-Szekeres Conjecture	Kahle, Matthew
2018	Smith, John Matthew	The Schrödinger Equation of a Particle in a Time Dependent Electric Field: Case Studies	Costin, Rodica
2017	Antonides, Joseph	An Analysis of the Order of Limit-Related Topics as Presented in Six Elementary Calculus Textbooks	Fowler, James
2017	Bergen, Sarah	Mathematics and Foreign Language: Authentic Texts in Mathematics	Costin, Rodica
2017	Cutforth, Alissa	A Transition from Informal to Formal Proof in K-12 Mathematics	Fowler, James
2017	Kish, David	Developing a Quantitative Reasoning Course for College Consumption	Costin, Rodica
2017	Miller, Jacob	Disentanglement Puzzles and Computation	Chmutov, Sergei
2016	Abu-Arish, Hiba	Perfect Numbers and Perfect Polynomials: Motivating Concepts From Kindergarten to College	Costin, Rodica
2016	Bowers, David	Impact of Mathematics Courses for Prospective Teachers on their Mathematical Knowledge for Teaching	Clemens, Charles
2016	Koch, Philip	An Introduction to the Bergman Projection and Kernel	Koenig, Kenneth
2016	Lu, Yaomingxin	A Comparison of Math Teaching and Learning in China and the United States -: Problem Solving Skills in Geometry of Chinese and U.S. Students	Costin, Rodica & Battista, Michael
2016	Wheeler, Jessica	Instructing Group Theory Concepts from Pre-Kindergarten to College through Movement Activities	Costin, Rodica
2015	Brady, Ann Lisa	Community Colleges and the Developmental Mathematics Crisis	Costin, Rodica
2015	Cox, Raymond	Mathematical Modeling of Minecraft - Using Mathematics to Model the Gameplay of Video Games	Clemens, Charles
2015	Kosek, Amy	An Exploration of Mathematical Applications in Cryptography	Cogdell, James
2015	Lampard Koch, Ayla	A Statistical Analysis of Online Homework Systems: Homework Completion vs. Student Knowledge	Costin, Rodica
2015	Rhollans, Mary	Learning to Teach: The Early Challenges Secondary Teachers Face	Costin, Rodica
2014	Kashner, Daniel	Cognitive Ability in a Team-Play Beauty Contest Game: An Experiment Proposal	Costin, Rodica
2014	Lindberg, David	Enhancing Individualized Instruction through Hidden Markov Models	Costin, Rodica
2014	Margraff, Aaron	An Exposition on Group Characters	Cogdell, James
2013	Bond, Jacob	The Stickelberger ideal and the cyclotomic class number	Sinnott, Warren
2013	Duke, Helene	A study of the rigidity of regular polytopes	Snapp, Bart
2013	Schuda Stout, Deborah	Graphing beyond Collatz	Snapp, Bart
2013	Turner, Charity	The role of teacher discourse moves in promoting mathematical reasoning	Clemens, Charles
2013	Turner, Jacob	An exposition of Dirichlet's theorem	Cogdell, James
2012	DeSouza, Chelsea	The Greek method of exhaustion: leading the way to modern integration	Costin, Rodica & Clemens, Charles
2012	Hoehner, Steven	The Hasse-Minkowski Theorem in two and three variables	Clemens, Charles
2012	Tussing, Timothy	Analysis of effects on sound using discrete fourier transform	Snapp, Bart

MS

YEAR	AUTHOR	TITLE	ADVISOR
2020	Brauer, Ethan	Truthmakers and Model Theory	Miller, Christopher
2020	Dalglish, Steven	Least and Inflationary Fixed-Point Logics: A Comparison of Expressive Strength	Miller, Christopher
2020	Sultan, Sami	Barcode Structure of Persistence Modules via Local Structure	Ogle, Crichton
2019	Foroughi Pour, Ali	Linear Approximations for Second Order High Dimensional Model Representation of the Log Likelihood Ratio	Rempala, Grzegorz
2019	Khandelwal, Vasudha	Volatility of European Options	Ban, Chunsheng
2018	Gegner, Ethan	Notes on Intersective Polynomials	Leibman, Alexander
2017	Hosny, Sameh	LARGE SCALE LINEAR OPTIMIZATION FOR WIRELESS COMMUNICATION SYSTEMS	Hiary, Ghaith
2017	Zhao, Lin	Spherical and Speroidal Harmonics: Examples and Computations	Hiary, Ghaith
2016	Yang, Fan	Continuous Logic and Probability Algebras	Miller, Christopher
2015	Chen, Huachen	Wall-crossing Behavior of Strange Duality Morphisms for K3 Surfaces	Cogdell, James
2015	He, Zhuang	On Moduli Spaces of Weighted Pointed Stable Curves and Applications	Tseng, Hsian-Hua
2014	Kosek, Peter	Error Correcting Codes	Kahle, Matthew
2013	Reeder, Patrick	Internal set theory and Euler's Introductio in analysin infinitorum	Sinnott, Warren
2013	Reiner-Roth, Griffin	Rodrigues formula for Jacobi polynomials on the unit circle	Costin, Rodica
2012	Ward, Peter	Euclid's elements, from Hilbert's axioms	Costin, Rodica
2010	Florio, Salvatore	Completeness of the predicate calculus in the basic theory of predication	Friedman, Harvey
2010	Taliotis, Anastasios	Evolving geometries in general relativity	Gerlach, Ulrich
2008	Berry, Tyrus	An overview of optimal stopping times for various discrete time games	Pittel, Boris
2008	Maceli, Peter	Deciding st-connectivity in undirected graphs using logarithmic space	Carlson, Timothy
2008	Siebert, Kitzeln	A modern presentation of dimension and outer measure	Edgar, Gerald
2008	Volynin, Ilya	A detailed look into two problems on lacunary sequences	Leibman, Alexander