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Mathematics Theses, Projects, and Dissertations
Theses/projects/dissertations from 2023 2023.
DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim
An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson
Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko
MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud
Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega
Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov
Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez
Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil
KNOT EQUIVALENCE , Jacob Trubey
Theses/Projects/Dissertations from 2022 2022
SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade
The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles
Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen
de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox
Symmetric Generation , Ana Gonzalez
SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha
Simple Groups and Related Topics , Simrandeep Kaur
Homomorphic Images and Related Topics , Alejandro Martinez
LATTICE REDUCTION ALGORITHMS , Juan Ortega
THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger
Verifying Sudoku Puzzles , Chelsea Schweer
AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns
Theses/Projects/Dissertations from 2021 2021
Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena
Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez
SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona
Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne
MEASURE AND INTEGRATION , JeongHwan Lee
A Study in Applications of Continued Fractions , Karen Lynn Parrish
Partial Representations for Ternary Matroids , Ebony Perez
Theses/Projects/Dissertations from 2020 2020
Sum of Cubes of the First n Integers , Obiamaka L. Agu
Permutation and Monomial Progenitors , Crystal Diaz
Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez
Research In Short Term Actuarial Modeling , Elijah Howells
Hyperbolic Triangle Groups , Sergey Katykhin
Exploring Matroid Minors , Jonathan Lara Tejeda
DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan
Modeling the Spread of Measles , Alexandria Le Beau
Symmetric Presentations and Related Topics , Mayra McGrath
Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder
ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah
Excluded minors for nearly-paving matroids , Vanessa Natalie Vega
Theses/Projects/Dissertations from 2019 2019
Fuchsian Groups , Bob Anaya
Tribonacci Convolution Triangle , Rosa Davila
VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday
Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James
Geodesics on Generalized Plane Wave Manifolds , Moises Pena
Algebraic Methods for Proving Geometric Theorems , Lynn Redman
Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.
THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons
CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham
Theses/Projects/Dissertations from 2018 2018
PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre
Monomial Progenitors and Related Topics , Madai Obaid Alnominy
Progenitors Involving Simple Groups , Nicholas R. Andujo
Simple Groups, Progenitors, and Related Topics , Angelica Baccari
Exploring Flag Matroids and Duality , Zachary Garcia
Images of Permutation and Monomial Progenitors , Shirley Marina Juan
MODERN CRYPTOGRAPHY , Samuel Lopez
Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna
Symmetric Presentations, Representations, and Related Topics , Adam Manriquez
Toroidal Embeddings and Desingularization , LEON NGUYEN
THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco
Tutte-Equivalent Matroids , Maria Margarita Rocha
Symmetric Presentations and Double Coset Enumeration , Charles Seager
MANUAL SYMMETRIC GENERATION , Joel Webster
Theses/Projects/Dissertations from 2017 2017
Investigation of Finite Groups Through Progenitors , Charles Baccari
CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez
Making Models with Bayes , Pilar Olid
An Introduction to Lie Algebra , Amanda Renee Talley
SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco
CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo
Theses/Projects/Dissertations from 2016 2016
Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh
Regular Round Matroids , Svetlana Borissova
GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros
REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney
Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis
BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee
ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez
LIFE EXPECTANCY , Ali R. Hassanzadah
PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon
A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson
Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal
The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen
Probabilistic Methods In Information Theory , Erik W. Pachas
THINKING POKER THROUGH GAME THEORY , Damian Palafox
Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado
Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas
AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn
The Evolution of Cryptology , Gwendolyn Rae Souza
Theses/Projects/Dissertations from 2015 2015
SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi
Homomorphic Images And Related Topics , Kevin J. Baccari
Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez
Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn
Symmetric Presentations and Generation , Dustin J. Grindstaff
HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.
SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp
Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.
Elliptic Curves , Trinity Mecklenburg
A Fundamental Unit of O_K , Susana L. Munoz
CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez
Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field , Nolberto Rezola
ALGEBRA 1 STUDENTS’ ABILITY TO RELATE THE DEFINITION OF A FUNCTION TO ITS REPRESENTATIONS , Sarah A. Thomson
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Dissertations
Most Harvard PhD dissertations from 2012 forward are available online in DASH , Harvard’s central open-access repository and are linked below. Many older dissertations can be found on ProQuest Dissertation and Theses Search which many university libraries subscribe to.
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Mathematics and Statistics Theses and Dissertations
Theses/dissertations from 2023 2023.
Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani
Applied Analysis for Learning Architectures , Himanshu Singh
Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze
Theses/Dissertations from 2022 2022
New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana
Advances and Applications of Optimal Polynomial Approximants , Raymond Centner
Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty
On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly
Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He
Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias
Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi
A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman
Theses/Dissertations from 2021 2021
Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri
Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi
Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou
Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando
Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu
Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang
Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang
Theses/Dissertations from 2020 2020
Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi
Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun
Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu
On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman
Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek
Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen
Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan
Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop
On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink
Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang
Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala
Theses/Dissertations from 2019 2019
Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian
Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar
Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil
Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter
Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz
Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi
Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi
Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos
The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva
Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak
Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich
An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado
Power Graphs of Quasigroups , DayVon L. Walker
Theses/Dissertations from 2018 2018
Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed
Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai
A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah
Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa
Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields
Generalizations of Quandles and their cohomologies , Matthew J. Green
Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu
Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou
Human Activity Recognition Based on Transfer Learning , Jinyong Pang
Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham
Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel
Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova
Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang
Theses/Dissertations from 2017 2017
Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack
Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon
On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill
Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill
Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly
Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera
Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao
Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati
Dynamics of Multicultural Social Networks , Kristina B. Hilton
Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi
Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally
Patterns in Words Related to DNA Rearrangements , Lukas Nabergall
Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na
Schreier Graphs of Thompson's Group T , Allen Pennington
Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya
Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo
Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi
Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou
Theses/Dissertations from 2016 2016
A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea
Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery
Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman
On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr
Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim
Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano
Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure
Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru
Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park
Leonard Systems and their Friends , Jonathan Spiewak
Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun
Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu
Global Attractors and Random Attractors of Reaction-Diffusion Systems , Junyi Tu
Time Dependent Kernel Density Estimation: A New Parameter Estimation Algorithm, Applications in Time Series Classification and Clustering , Xing Wang
On Spectral Properties of Single Layer Potentials , Seyed Zoalroshd
Theses/Dissertations from 2015 2015
Analysis of Rheumatoid Arthritis Data using Logistic Regression and Penalized Approach , Wei Chen
Active Tile Self-assembly and Simulations of Computational Systems , Daria Karpenko
Nearest Neighbor Foreign Exchange Rate Forecasting with Mahalanobis Distance , Vindya Kumari Pathirana
Statistical Learning with Artificial Neural Network Applied to Health and Environmental Data , Taysseer Sharaf
Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3 , Richard Alan Warner
Ensemble Learning Method on Machine Maintenance Data , Xiaochuang Zhao
Theses/Dissertations from 2014 2014
Properties of Graphs Used to Model DNA Recombination , Ryan Arredondo
Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability , Jonathan Burns
On the Classification of Groups Generated by Automata with 4 States over a 2-Letter Alphabet , Louis Caponi
Statistical Analysis, Modeling, and Algorithms for Pharmaceutical and Cancer Systems , Bong-Jin Choi
Topological Data Analysis of Properties of Four-Regular Rigid Vertex Graphs , Grant Mcneil Conine
Trend Analysis and Modeling of Health and Environmental Data: Joinpoint and Functional Approach , Ram C. Kafle
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Home > Physical and Mathematical Sciences > Mathematics Education > Theses and Dissertations
Mathematics Education Theses and Dissertations
Theses/dissertations from 2024 2024.
New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting
Theses/Dissertations from 2023 2023
Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales
Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff
Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley
Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson
Theses/Dissertations from 2022 2022
Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll
Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon
Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena
The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper
Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby
Structural Reasoning with Rational Expressions , Dana Steinhorst
Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong
Theses/Dissertations from 2021 2021
Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams
You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer
Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens
Theses/Dissertations from 2020 2020
Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway
Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen
Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe
Theses/Dissertations from 2019 2019
Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson
Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson
Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis
“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross
Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark
Theses/Dissertations from 2018 2018
Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason
How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job
Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau
Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky
Theses/Dissertations from 2017 2017
Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard
Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard
Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville
Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga
Theses/Dissertations from 2016 2016
The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis
Insight into Student Conceptions of Proof , Steven Daniel Lauzon
Theses/Dissertations from 2015 2015
Teacher Participation and Motivation inProfessional Development , Krystal A. Hill
Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet
English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill
Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich
Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts
Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson
Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke
Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise
Theses/Dissertations from 2014 2014
The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams
Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch
Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd
Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton
An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen
Theses/Dissertations from 2013 2013
Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo
Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau
Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc
Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele
Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk
Theses/Dissertations from 2012 2012
Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call
Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons
Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson
Mathematics Teacher Time Allocation , Ashley Martin Jones
Theses/Dissertations from 2011 2011
How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell
Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce
A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams
Theses/Dissertations from 2010 2010
Growth in Students' Conceptions of Mathematical Induction , John David Gruver
Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart
Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon
Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams
Theses/Dissertations from 2009 2009
A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick
The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling
Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak
Theses/Dissertations from 2008 2008
Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon
How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks
Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill
Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson
Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb
Theses/Dissertations from 2007 2007
Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff
What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff
Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow
One Problem, Two Contexts , Danielle L. Gigger
The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry
Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer
Theses/Dissertations from 2006 2006
How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras
Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz
The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze
Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing
What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb
Theses/Dissertations from 2005 2005
Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff
An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen
Theses/Dissertations from 2004 2004
Reasoning About Motion: A Case Study , Tiffini Lynn Glaze
Theses/Dissertations from 2003 2003
An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford
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Mathematics MSc dissertations
The Department of Mathematics and Statistics was host until 2014 to the MSc course in the Mathematics of Scientific and Industrial Computation (previously known as Numerical Solution of Differential Equations) and the MSc course in Mathematical and Numerical Modelling of the Atmosphere and Oceans. A selection of dissertation titles are listed below, some of which are available online:
2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991
2014: Mathematics of Scientific and Industrial Computation
Amanda Hynes - Slow and superfast diffusion of contaminant species through porous media
2014: Applicable and Numerical Mathematics
Emine Akkus - Estimating forecast error covariance matrices with ensembles
Rabindra Gurung - Numerical solution of an ODE system arising in photosynthesis
2013: Mathematics of Scientific and Industrial Computation
Zeinab Zargar - Modelling of Hot Water Flooding as an Enhanced Oil Recovery Method
Siti Mazulianawati Haji Majid - Numerical Approximation of Similarity in Nonlinear Diffusion Equations
2013: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Yu Chau Lam - Drag and Momentum Fluxes Produced by Mountain Waves
Josie Dodd - A Moving Mesh Approach to Modelling the Grounding Line in Glaciology
2012: Mathematics of Scientific and Industrial Computation
Chris Louder - Mathematical Techniques of Image Processing
Jonathan Muir - Flux Modelling of Polynyas
Naomi Withey - Computer Simulations of Dipolar Fluids Using Ewald Summations
2012: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Jean-Francois Vuillaume - Numerical prediction of flood plains using a Lagrangian approach
2011: Mathematics of Scientific and Industrial Computation
Tudor Ciochina - The Closest Point Method
Theodora Eleftheriou - Moving Mesh Methods Using Monitor Functions for the Porous Medium Equation
Melios Michael - Self-Consistent Field Calculations on a Variable Resolution Grid
2011: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Peter Barnet - Rain Drop Growth by Collision and Coalescence
Matthew Edgington - Moving Mesh Methods for Semi-Linear Problems
Samuel Groth - Light Scattering by Penetrable Convex Polygons
Charlotte Kong - Comparison of Approximate Riemann Solvers
Amy Jackson - Estimation of Parameters in Traffic Flow Models Using Data Assimilation
Bruce Main - Solving Richards' Equation Using Fixed and Moving Mesh Schemes
Justin Prince - Fast Diffusion in Porous Media
Carl Svoboda - Reynolds Averaged Radiative Transfer Model
2010: Mathematics of Scientific and Industrial Computation
Tahnia Appasawmy - Wave Reflection and Trapping in a Two Dimensional Duct
Nicholas Bird - Univariate Aspects of Covariance Modelling within Operational Atmospheric Data Assimilation
Michael Conland - Numerical Approximation of a Quenching Problem
Katy Shearer - Mathematical Modelling of the regulation and uptake of dietary fats
Peter Westwood - A Moving Mesh Finite Element Approach for the Cahn-Hilliard Equation
Kam Wong - Accuracy of a Moving Mesh Numerical Method applied to the Self-similar Solution of Nonlinear PDEs
2010: Mathematical and Numerical Modelling of the Atmosphere and Oceans
James Barlow - Computation and Analysis of Baroclinic Rossby Wave Rays in the Atlantic and Pacific Oceans
Martin Conway - Heat Transfer in a Buried Pipe
Simon Driscoll - The Earth's Atmospheric Angular Momentum Budget and its Representation in Reanalysis Observation Datasets and Climate Models
George Fitton - A Comparative Study of Computational Methods in Cosmic Gas Dynamics Continued
Fay Luxford - Skewness of Atmospheric Flow Associated with a Wobbling Jetstream
Jesse Norris - A Semi-Analytic Approach to Baroclinic Instability on the African Easterly Jet
Robert J. Smith - Minimising Time-Stepping Errors in Numerical Models of the Atmosphere and Ocean
Amandeep Virdi - The Influence of the Agulhas Leakage on the Overturning Circulation from Momentum Balances
2009: Mathematics of Scientific and Industrial Computation
Charlotta Howarth - Integral Equation Formulations for Scattering Problems
David Fairbairn - Comparison of the Ensemble Transform Kalman Filter with the Ensemble Transform Kalman Smoother
Mark Payne - Mathematical Modelling of Platelet Signalling Pathways Mesh Generation and its application to Finite Element Methods
Mary Pham - Mesh Generation and its application to Finite Element Methods
Sarah Cole - Blow-up in a Chemotaxis Model Using a Moving Mesh Method
2009: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Danila Volpi - Estimation of parameters in traffic flow models using data assimilation
Dale Partridge - Analysis and Computation of a Simple Glacier Model using Moving Grids
David MacLeod - Evaluation of precipitation over the Middle East and Mediterranean in high resolution climate models
Joanne Pocock - Ensemble Data Assimilation: How Many Members Do We Need?
Neeral Shah - Impact and implications of climate variability and change on glacier mass balance in Kenya
Tomos Roberts - Non-oscillatory interpolation for the Semi-Lagrangian scheme
Zak Kipling - Error growth in medium-range forecasting models
Zoe Gumm - Bragg Resonance by Ripple Beds
2008: Mathematics of Scientific and Industrial Computation
Muhammad Akram - Linear and Quadratic Finite Elements for a Moving Mesh Method
Andrew Ash - Examination of non-Time Harmonic Radio Waves Incident on Plasmas
Cassandra Moran - Harbour modelling and resonances
Elena Panti - Boundary Element Method for Heat Transfer in a Buried Pipe
Juri Parrinello - Modelling water uptake in rice using moving meshes
Ashley Twigger - Blow-up in the Nonlinear Schrodinger Equation Using an Adaptive Mesh Method
Chloe Ward - Numerical Evaluation of Oscillatory Integrals
Christopher Warner - Forward and Inverse Water-Wave Scattering by Topography
2008: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Fawzi Al Busaidi - Fawzi Albusaidi
Christopher Bowden - A First Step Towards the Calculation of a Connectivity Matrix for the Great Barrier Reef
Evangelia-Maria Giannakopoulou - Flood Prediction and Uncertainty
Victoria Heighton - 'Every snowflake is different'
Thomas Jordan - Does Self-Organised Criticality Occur in the Tropical Convective System?
Gillian Morrison - Numerical Modelling of Tidal Bores using a Moving Mesh
Rachel Pritchard - Evaluation of Fractional Dispersion Models
2007: Numerical solution of differential equations
Tamsin Lee - New methods for approximating acoustic wave transmission through ducts (PDF 2.5MB)
Lee Morgan - Anomalous diffusion (PDF-1.5MB)
Keith Pham - Finite element modelling of multi-asset barrier options (PDF-3MB)
Alastair Radcliffe - Finite element modelling of the atmosphere using the shallow water equations (PDF-2.5MB)
Sanita Vetra - The computation of spectral representations for evolution PDE (PDF-3.2MB)
2007: Mathematical and numerical modelling of the atmosphere and oceans
Laura Baker - Properties of the ensemble Kalman filter (PDF-3.8MB)
Alison Brass - A moving mesh method for the discontinuous Galerkin finite element technique (PDF-916KB)
Daniel Lucas - Application of the phase/amplitude method to the study of trapped waves in the atmosphere and oceans (PDF-1.1MB)
Duduzile Nhlengethwa - Petrol or diesel (PDF-1MB)
Rhiannon Roberts - Modelling glacier flow (PDF-406KB)
David Skinner - A moving mesh finite element method for the shallow water equations (PDF-4.3MB)
Jovan Stojsavljevic - Investigation of waiting times in non-linear diffusion equations using a moving mesh method (PDF-538KB)
2006: Numerical solution of differential equations
Bonhi Bhattacharya - A moving finite element method for high order nonlinear diffusion problems
Jonathan Coleman - High frequency boundary element methods for scattering by complex polygons
Rachael England - The use of numerical methods in solving pricing problems for exotic financial derivatives with a stochastic volatility
Stefan King - Best fits with adjustable nodes and scale invariance
Edmund Ridley - Analysis of integral operators from scattering problems
Nicholas Robertson - A moving Lagrangian mesh model of a lava dome volcano and talus slope
2006: Mathematical and numerical modelling of the atmosphere and oceans
Iain Davison - Scale analysis of short term forecast errors
Richard Silveira - Electromagnetic scattering by simple ice crystal shapes
Nicola Stone - Development of a simplified adaptive finite element model of the Gulf Stream
Halina Watson - The behaviour of 4-D Var for a highly nonlinear system
2005: Numerical solution of differential equations
Jonathan Aitken - Data dependent mesh generation for peicewise linear interpolation
Stephen Arden - A collocation method for high frequency scattering by convex polygons
Shaun Benbow - Numerical methods for american options
Stewart Chidlow - Approximations to linear wave scattering by topography using an integral equation approach
Philip McLaughlin - Outdoor sound propagation and the boundary element method
Antonis Neochoritis - Numerical modelling of islands and capture zone size distributions in thin film growth
Kylie Osman - Numerical schemes for a non-linear diffusion problem
Shaun Potticary - Efficient evaluation of highly oscillatory integrals
Martyn Taylor - Investigation into how the reduction of length scales affects the flow of viscoelastic fluid in parallel plate geometries
Aanand Venkatramanan - American spread option pricing
2005: Mathematical and numerical modelling of the atmosphere and oceans
Richard Fruehmann - Ageostrophic wind storms in the central Caspian sea
Gemma Furness - Using optimal estimation theory for improved rainfall rates from polarization radar
Edward Hawkins - Vorticity extremes in numerical simulations of 2-D geostrophic turbulence
Robert Horton - Two dimensional turbulence in the atmosphere and oceans
David Livings - Aspects of the ensemble Kalman filter
David Sproson - Energetics and vertical structure of the thermohaline circulation
2004: Numerical solution of differential equations
Rakhib Ahmed - Numerical schemes applied to the Burgers and Buckley-Leverett equations
James Atkinson - Embedding methods for the numerical solution of convolution equations
Catherine Campbell-Grant - A comparative study of computational methods in cosmic gas dynamics
Paresh Prema - Numerical modelling of Island ripening
Mark Webber - The point source methods in inverse acoustic scattering
2004: Mathematical and numerical modelling of the atmosphere and oceans
Oliver Browne - Improving global glacier modelling by the inclusion of parameterised subgrid hypsometry within a three-dimensional, dynamical ice sheet model
Petros Dalakakis - Radar scattering by ice crystals
Eleanor Gosling - Flow through porous media: recovering permeability data from incomplete information by function fitting .
Sarah Grintzevitch - Heat waves: their climatic and biometeorological nature in two north american reigions
Helen Mansley - Dense water overflows and cascades
Polly Smith - Application of conservation laws with source terms to the shallow water equations and crowd dynamics
Peter Taylor - Application of parameter estimation to meteorology and food processing
2003: Numerical solution of differential equations
Kate Alexander - Investigation of a new macroscopic model of traffic flow
Luke Bennetts - An application of the re-iterated Galerkin approximation in 2-dimensions
Peter Spence - The Position of the free boundary formed between an expanding plasma and an electric field in differing geometries
Daniel Vollmer - Adaptive mesh refinement using subdivision of unstructured elements for conservation laws
2003: Mathematical and numerical modelling of the atmosphere and oceans
Clare Harris - The Valuation of weather derivatives using partial differential equations
Sarah Kew - Development of a 3D fractal cirrus model and its use in investigating the impact of cirrus inhomogeneity on radiation
Emma Quaile - Rotation dominated flow over a ridge
Jemma Shipton - Gravity waves in multilayer systems
2002: Numerical solution of differential equations
Winnie Chung - A Spectral Method for the Black Scholes Equations
Penny Marno - Crowded Macroscopic and Microscopic Models for Pedestrian Dynamics
Malachy McConnell - On the numerical solution of selected integrable non-linear wave equations
Stavri Mylona - An Application of Kepler's Problem to Formation Flying using the Störmer-Verlet Method
2002: Mathematical and numerical modelling of the atmosphere and oceans
Sarah Brodie - Numerical Modelling of Stratospheric Temperature Changes and their Possible Causes
Matt Sayer - Upper Ocean Variability in the Equatorial Pacific on Diurnal to Intra-seasonal Timescales
Laura Stanton - Linearising the Kepler problem for 4D-var Data Assimilation
2001: Numerical solution of differential equations
R.B. Brad - An Implementation of the Box Scheme for use on Transcritical Problems
D. Garwood - A Comparison of two approaches for the Approximating of 2-D Scattered Data, with Applications to Geological Modelling
R. Hawkes - Mesh Movement Algorithms for Non-linear Fisher-type Equations
P. Jelfs - Conjugate Gradients with Rational and Floating Point Arithmetic
M. Maisey - Vorticity Preserving Lax-Wendroff Type Schemes
C.A. Radcliffe - Positive Schemes for the Linear Advection Equation
2000: Numerical solution of differential equations
D. Brown - Two Data Assimilation Techniques for Linear Multi-input Systems.
S. Christodoulou - Finite Differences Applied to Stochastic Problems in Pricing Derivatives.
C. Freshwater - The Muskingum-Cunge Method for Flood Routing.
S.H. Man - Galerkin Methods for Coupled Integral Equations.
A. Laird - A New Method for Solving the 2-D Advection Equation.
T. McDowall - Finite Differences Applied to Joint Boundary Layer and Eigenvalue Problems.
M. Shahrill - Explicit Schemes for Finding Soliton Solutions of the Korteweg-de Vries Equation.
B. Weston - A Marker and Cell Solution of the Incompressible Navier-Stokes Equations for Free Surface Flow.
1999: Numerical solution of differential equations
M. Ariffin - Grid Equidistribution via Various Algorithmic Approaches.
S.J. Fletcher - Numerical Approximations to Bouyancy Advection in the Eddy Model.
N.Fulcher - The Finite Element Approximation of the Natural Frequencies of a Circular Drum.
V. Green - A Financial Model and Application of the Semi-Lagrangian Time-Stepping Scheme.
D.A. Parry - Construction of Symplectic Runge-Kutta Methods and their Potential for Molecular Dynamics Application.
S.C. Smith - The Evolution of Travelling Waves in a Simple Model for an Ionic Autocatalytic System
P. Swain - Numerical Investigations of Vorticity Preserving Lax-Wendroff Type Schemes.
M. Wakefield - Variational Methods for Upscaling.
1998: Numerical solution of differential equations
C.C. Anderson - A dual-porosity model for simulating the preferential movement of water in the unsaturated zone of a chalk aquifer.
K.W. Blake - Contour zoning.
M.R. Garvie - A comparison of cell-mapping techniques for basins of attraction.
W. Gaudin - HYDRA: a 3-d MPP Eulerian hydrocode.
D. Gnandi - Alternating direction implicit method applied to stochastic problems in derivative finance.
J. Hudson - Numerical techniques for conservation laws with source terms. .
H.S. Khela - The boundary integral method.
K. Singh - A comparison of numerical schemes for pricing bond options.
1997: Numerical solution of differential equations
R.V. Egan - Chaotic response of the Duffing equation. A numerical investigation into the dynamics of the non-linear vibration equation.
R.G. Higgs - Nonlinear diffusion in reservoir simulation.
P.B. Horrocks - Fokker-Planck model of stochastic acceleration: a study of finite difference schemes.
M.A. Wlasek - Variational data assimilation: a study.
1996: Numerical solution of differential equations
A. Barnes - Reaction-diffusion waves in an isothermal chemical system with a general order of autocatalysis.
S.J. Leary - Mesh movement and mesh subdivision.
S. McAllister - First and second order complex differential equations.
R.K. Sadhra - Investigating dynamical systems using the cell-to-cell mapping.
J.P. Wilson - A refined numerical model of sediment deposition on saltmarshes.
1995: Numerical solution of differential equations
M. Bishop - The modelling and analysis of the equations of motion of floating bodies on regular waves.
J. Olwoch - Isothermal autocatalytic reactions with an immobilized autocatalyst.
S. Stoke - Eulerian methods with a Lagrangian phase in gas dynamics.
R. Coad - 1-D and 2-D simulations of open channel flows using upwinding schemes.
1994: Numerical solution of differential equations
M. Ali - Application of control techniques to solving linear systems of equations .
M.H. Brookes - An investigation of a dual-porosity model for the simulation of unsaturated flow in a porous medium .
A.J. Crossley - Application of Roe's scheme to the shallow water equations on the sphere .
D.A. Kirkland - Huge singular values and the distance to instability. .
B.M. Neil - An investigation of the dynamics of several equidistribution schemes .
1993: Numerical solution of differential equations
P.A. Burton - Re-iterative methods for integral equations .
J.M. Hobbs - A moving finite element approach to semiconductor process modelling in 1-D. .
L.M. Whitfield - The application of optimal control theory to life cycle strategies .
S.J. Woolnough - A numerical model of sediment deposition on saltmarshes .
1992: Numerical solution of differential equations
I. MacDonald - The numerical solution of free surface/pressurized flow in pipes. .
A.D. Pollard - Preconditioned conjugate gradient methods for serial and parallel computers. .
C.J. Smith - Adaptive finite difference solutions for convection and convection-diffusion problems .
1991: Numerical solution of differential equations
K.J. Neylon - Block iterative methods for three-dimensional groundwater flow models .
Natural Sciences and Mathematics
Mathematical sciences.
PhD Dissertations in Mathematics
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Statistical and machine learning approaches to genomic medicine , using markov chain monte carlo in vector generalized linear mixed models: with an application to integral projection models in ecology , symmetries of riemann surfaces and magnetic monopoles , kan extensions in probability theory , regression analysis for extreme value responses and covariates , categorical torelli theorems for fano threefolds , laplacians for structure recovery on directed and higher-order graphs , efficient interior point algorithms for large scale convex optimization problems , solving sampling and optimization problems via tamed langevin mcmc algorithms in the presence of super-linearities , algebraic combinatorial structures for singular stochastic dynamics , stochastic modelling and inference of ocean transport , convergence problems for singular stochastic dynamics , classification of supersymmetric black holes in ads₅ , bps cohomology for 2-calabi—yau categories , quantitative finance informed machine learning , efficient model fitting approaches for estimating abundance and demographic rates for marked and unmarked populations , path-based splitting methods for sdes and machine learning for battery lifetime prognostics , certain geometric maximal functions in harmonic analysis , examining the effects of magnetic fields in neutron star mergers through numerical simulations , on slope stability of tangent sheaves on smooth toric fano varieties .
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Dissertation in mathematics
This module enables you to carry out a sustained, guided, independent study of a topic in mathematics. There’s a choice of topics, for example: algebraic graph theory; aperiodic tilings and symbolic dynamics; advances in approximation theory; history of modern geometry; interfacial flows and microfluidics; variational methods, and Riemann surfaces. Provided study notes, books, research articles, and original sources guide you. You must master the appropriate mathematics and present your work as a final dissertation.
Qualifications
M840 is a compulsory module in our:
- MSc in Mathematics (F04)
- Credits measure the student workload required for the successful completion of a module or qualification.
- One credit represents about 10 hours of study over the duration of the course.
- You are awarded credits after you have successfully completed a module.
- For example, if you study a 60-credit module and successfully pass it, you will be awarded 60 credits.
Find out more about entry requirements .
What you will study
The list of topics available varies each year. We’ll let MSc in Mathematics students know the available topics that October in the spring, before the module starts.
Recently available topics have included:
- Advances in approximation theory
- Algebraic graph theory
- Aperiodic tilings and symbolic dynamics
- History of modern geometry
- Interfacial flows and microfluidics
- Riemann surfaces
- Variational methods.
Please note:
- Since the available topics vary from year to year, check that we are offering the topic you wish to study before registering.
- For staffing reasons, you might not be able to study your preferred topic. Therefore, we’ll ask you for your first and second choice. We can usually offer you one of your choices, although this cannot be guaranteed.
You will learn
Successful study of this module should enhance your skills in understanding complex mathematical texts, working on open-ended problems and communicating mathematical ideas clearly.
Teaching and assessment
Support from your tutor.
Throughout your module studies, you’ll get help and support from your assigned module tutor. They’ll help you by:
- Marking your assignments (TMAs) and providing detailed feedback for you to improve.
- Guiding you to additional learning resources.
- Providing individual guidance, whether that’s for general study skills or specific module content.
The module has a dedicated and moderated forum where you can join in online discussions with your fellow students. There are also online module-wide tutorials. While these tutorials won’t be compulsory for you to complete the module, you’re strongly encouraged to take part. If you want to participate, you’ll likely need a headset with a microphone.
The assessment details can be found in the facts box.
Course work includes
Future availability.
Dissertation in mathematics (M840) starts once a year – in October.
This page describes the module that will start in October 2024.
We expect it to start for the last time in October 2029.
Regulations
Entry requirements.
You must have passed one of the following modules:
- Advanced mathematical methods (M833)
- Analytic number theory I (M823)
- Analytic number theory II (M829)
- Calculus of variations and advanced calculus (M820)
- Coding theory (M836)
- Fractal geometry (M835)
- Nonlinear ordinary differential equations (M821) .
Or one of the discontinued modules M826, M828 and M832.
You may request exceptional permission to take M840 alongside another module if you have passed only three modules.
Additionally:
- To study the ‘Advances in approximation theory’ topic, you should have passed Advanced mathematical methods (M833) or the discontinued module M832.
- To study the ‘Variational methods applied to eigenvalue problems’ topic, you should have passed Calculus of variations and advanced calculus (M820) .
- To study the ‘Riemann surfaces’ topic, you should have a Grade 1 or 2 pass a course in Complex analysis (M337) or an equivalent course.
All teaching is in English and your proficiency in the English language should be adequate for the level of study you wish to take. We strongly recommend that students have achieved an IELTS (International English Language Testing System) score of at least 7. To assess your English language skills in relation to your proposed studies you can visit the IELTS website.
Additional costs
Study costs.
There may be extra costs on top of the tuition fee, such as set books, a computer and internet access.
Study events
This module may have an optional in-person study event. We’ll let you know if this event will take place and any associated costs as soon as we can.
Ways to pay for this module
We know there’s a lot to think about when choosing to study, not least how much it’s going to cost and how you can pay.
That’s why we keep our fees as low as possible and offer a range of flexible payment and funding options, including a postgraduate loan, if you study this module as part of an eligible qualification. To find out more, see Fees and funding .
Study materials
What's included.
You’ll have access to a module website, which includes:
- a week-by-week study planner
- course-specific module materials
- audio and video content
- assessment details and submission section
- online tutorial access.
You will need
Some topics require specific books. We’ll let you know which once your topic is confirmed.
Computing requirements
You’ll need broadband internet access and a desktop or laptop computer with an up-to-date version of Windows (10 or 11) or macOS Monterey or higher.
Any additional software will be provided or is generally freely available.
To join in spoken conversations in tutorials, we recommend a wired headset (headphones/earphones with a built-in microphone).
Our module websites comply with web standards, and any modern browser is suitable for most activities.
Our OU Study mobile app will operate on all current, supported versions of Android and iOS. It’s not available on Kindle.
It’s also possible to access some module materials on a mobile phone, tablet device or Chromebook. However, as you may be asked to install additional software or use certain applications, you’ll also require a desktop or laptop, as described above.
If you have a disability
The material contains small print and diagrams, which may cause problems if you find reading text difficult. Adobe Portable Document Format (PDF) versions of printed material are available. Some Adobe PDF components may not be available or fully accessible using a screen reader and mathematical materials may be particularly difficult to read in this way. Alternative formats of the study materials may be available in the future.
To find out more about what kind of support and adjustments might be available, contact us or visit our disability support pages .
Request your prospectus
Our prospectuses help you choose your course, understand what it's like to be an OU student and register for study.
Request prospectus
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Dissertations and Placements 2010-Present
Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel Halpern-Leistner First Position: Postdoc at the Institution for Advanced Study and Princeton
Max Lipton Thesis: Dynamical Systems in Pure Mathematics Advisor: Steven Strogatz First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology
Elise McMahon Thesis: A simplicial set approach to computing the group homology of some orthogonal subgroups of the discrete group Advisor: Inna Zakharevich First Position: Senior Research Scientist at Two Six Technologies
Peter Uttenthal Thesis: Density of Selmer Ranks in Families of Even Galois Representations Advisor: Ravi Kumar Ramakrishna First Position: Visiting Assistant Professor at Cornell University
Liu Yun Thesis: Towers of Borel Fibrations and Generalized Quasi-Invariants Advisor: Yuri Berest First Position: Postdoc at Indiana University Bloomington
Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC
Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University
Shiping Cao Thesis: Topics in scaling limits on some Sierpinski carpet type fractals Advisor: Robert Strichartz (Laurent Saloff-Coste in last semester) First Position: Postdoctoral Scholar, University of Washington
Andres Fernandes Herrero Thesis: On the boundedness of the moduli of logarithmic connections Advisor: Nicolas Templier First Position: Ritt Assistant Professor, Columbia University
Max Hallgren Thesis: Ricci Flow with a Lower Bound on Ricci Curvature Advisor: Xiaodong Cao First Position: NSF Postdoctoral Research Fellow, Rutgers University
Gautam Krishnan Thesis: Degenerate series representations for symplectic groups Advisor: Dan Barbasch First Position: Hill Assistant Professor, Rutgers University
Feng Liang Thesis: Mixing time and limit shapes of Abelian networks Advisor: Lionel Levine
David Mehrle Thesis: Commutative and Homological Algebra of Incomplete Tambara Functors Advisor: Inna Zakharevich First Position: Postdoctoral Scholar, University of Kentucky
Itamar Sales de Oliveira Thesis: A new approach to the Fourier extension problem for the paraboloid Advisor: Camil Muscalu First Position: Postdoctoral Researcher, Nantes Université
Brandon Shapiro Thesis: Shape Independent Category Theory Advisor: Inna Zakharevich First Position: Postdoctoral Fellow, Topos Institute
Ayah Almousa Thesis: Combinatorial characterizations of polarizations of powers of the graded maximal ideal Advisor: Irena Peeva First position: RTG Postdoctoral Fellow, University of Minnesota
Jose Bastidas Thesis: Species and hyperplane arrangements Advisor: Marcelo Aguiar First position: Postdoctoral Fellow, Université du Québec à Montréal
Zaoli Chen Thesis: Clustered Behaviors of Extreme Values Advisor: Gennady Samorodnitsky First Position: Postdoctoral Researcher, Department of and Statistics, University of Ottawa
Ivan Geffner Thesis: Implementing Mediators with Cheap Talk Advisor: Joe Halpern First Position: Postdoctoral Researcher, Technion – Israel Institute of Technology
Ryan McDermott Thesis: Phase Transitions and Near-Critical Phenomena in the Abelian Sandpile Model Advisor: Lionel Levine
Aleksandra Niepla Thesis: Iterated Fractional Integrals and Applications to Fourier Integrals with Rational Symbol Advisor: Camil Muscalu First Position: Visiting Assistant Professor, College of the Holy Cross
Dylan Peifer Thesis: Reinforcement Learning in Buchberger's Algorithm Advisor: Michael Stillman First Position: Quantitative Researcher, Susquehanna International Group
Rakvi Thesis: A Classification of Genus 0 Modular Curves with Rational Points Advisor: David Zywina First Position: Hans Rademacher Instructor, University of Pennsylvania
Ana Smaranda Sandu Thesis: Knowledge of counterfactuals Advisor: Anil Nerode First Position: Instructor in Science Laboratory, Computer Science Department, Wellesley College
Maru Sarazola Thesis: Constructing K-theory spectra from algebraic structures with a class of acyclic objects Advisor: Inna Zakharevich First Position: J.J. Sylvester Assistant Professor, Johns Hopkins University
Abigail Turner Thesis: L2 Minimal Algorithms Advisor: Steven Strogatz
Yuwen Wang Thesis: Long-jump random walks on finite groups Advisor: Laurent Saloff-Coste First Position: Postdoc, University of Innsbruck, Austria
Beihui Yuan Thesis: Applications of commutative algebra to spline theory and string theory Advisor: Michael Stillman First Position: Research Fellow, Swansea University
Elliot Cartee Thesis: Topics in Optimal Control and Game Theory Advisor: Alexander Vladimirsky First Position: L.E. Dickson Instructor, Department of , University of Chicago
Frederik de Keersmaeker Thesis: Displaceability in Symplectic Geometry Advisor: Tara Holm First Position: Consultant, Addestino Innovation Management
Lila Greco Thesis: Locally Markov Walks and Branching Processes Advisor: Lionel Levine First Position: Actuarial Assistant, Berkshire Hathaway Specialty Insurance
Benjamin Hoffman Thesis: Polytopes And Hamiltonian Geometry: Stacks, Toric Degenerations, And Partial Advisor: Reyer Sjamaar First Position: Teaching Associate, Department of , Cornell University
Daoji Huang Thesis: A Bruhat Atlas on the Wonderful Compactification of PS O(2 n )/ SO (2 n -1) and A Kazhdan-Lusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota
Pak-Hin Li Thesis: A Hopf Algebra from Preprojective Modules Advisor: Allen Knutson First position: Associate, Goldman Sachs
Anwesh Ray Thesis: Lifting Reducible Galois Representations Advisor: Ravi Ramakrishna First Position: Postdoctoral Fellowship, University of British Columbia
Avery St. Dizier Thesis: Combinatorics of Schubert Polynomials Advisor: Karola Meszaros First Position: Postdoctoral Fellowship, Department of , University of Illinois at Urbana-Champaign
Shihao Xiong Thesis: Forcing Axioms For Sigma-Closed Posets And Their Consequences Advisor: Justin Moore First Position: Algorithm Developer, Hudson River Trading
Swee Hong Chan Thesis: Nonhalting abelian networks Advisor: Lionel Levine First Position: Hedrick Adjunct Assistant Professor, UCLA
Joseph Gallagher Thesis: On conjectures related to character varieties of knots and Jones polynomials Advisor: Yuri Berest First Position: Data Scientist, Capital One
Jun Le Goh Thesis: Measuring the Relative Complexity of Mathematical Constructions and Theorems Advisor: Richard Shore First Position: Van Vleck Assistant Professor, University of Wisconsin-Madison
Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent Saloff-Coste First Position: Visiting Assistant Professor, Department of , Cornell University
Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent Saloff-Coste First Position: Data Scientist, Jet.com
Ian Pendleton Thesis: The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds Advisor: Tara Holm
Amin Saied Thesis: Stable representation theory of categories and applications to families of (bi)modules over symmetric groups Advisor: Martin Kassabov First Position: Data Scientist, Microsoft
Yujia Zhai Thesis: Study of bi-parameter flag paraproducts and bi-parameter stopping-time algorithms Advisor: Camil Muscalu First Position: Postdoctoral Associate, Université de Nantes
Tair Akhmejanov Thesis: Growth Diagrams from Polygons in the Affine Grassmannian Advisor: Allen Knutson First position: Arthur J. Krener Assistant Professor, University of California, Davis
James Barnes Thesis: The Theory of the Hyperarithmetic Degrees Advisor: Richard Shore First position: Visiting Lecturer, Wellesley College
Jeffrey Bergfalk Thesis: Dimensions of ordinals: set theory, homology theory, and the first omega alephs Advisor: Justin Moore Postdoctoral Associate, UNAM - National Autonomous University of Mexico
TaoRan Chen Thesis: The Inverse Deformation Problem Advisor: Ravi Ramakrishna
Sergio Da Silva Thesis: On the Gorensteinization of Schubert varieties via boundary divisors Advisor: Allen Knutson First position: Pacific Institute for the Mathematical Sciences (PIMS) postdoctoral fellowship, University of Manitoba
Eduard Einstein Thesis: Hierarchies for relatively hyperbolic compact special cube complexes Advisor: Jason Manning First position: Research Assistant Professor (Postdoc), University of Illinois, Chicago (UIC)
Balázs Elek Thesis: Toric surfaces with Kazhdan-Lusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto
Kelsey Houston-Edwards Thesis: Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent Saloff-Coste First position: Professor of Math and Science Communication, Olin College
My Huynh Thesis: The Gromov Width of Symplectic Cuts of Symplectic Manifolds. Advisor: Tara Holm First position: Applied Mathematician, Applied Research Associates Inc., Raleigh NC.
Hossein Lamei Ramandi Thesis: On the minimality of non-σ-scattered orders Advisor: Justin Moore First position: Postdoctoral Associate at UFT (University Toronto)
Christine McMeekin Thesis: A density of ramified primes Advisor: Ravi Ramakrishna First position: Researcher at Max Planck Institute
Aliaksandr Patotski Thesis: Derived characters of Lie representations and Chern-Simons forms Advisor: Yuri Berest First position: Data Scientist, Microsoft
Ahmad Rafiqi Thesis: On dilatations of surface automorphisms Advisor: John Hubbard First position: Postdoctoral Associate, Sao Palo, Brazil
Ying-Ying Tran Thesis: Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher
Drew Zemke Thesis: Surfaces in Three- and Four-Dimensional Topology Advisor: Jason Manning First position: Preceptor in , Harvard University
Heung Shan Theodore Hui Thesis: A Radical Characterization of Abelian Varieties Advisor: David Zywina First position: Quantitative Researcher, Eastmore Group
Daniel Miller Thesis: Counterexamples related to the Sato–Tate conjecture Advisor: Ravi Ramakrishna First position: Data Scientist, Microsoft
Lihai Qian Thesis: Rigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions Advisor: Xiaodong Cao First position: Quantitative Associate, Wells Fargo
Valente Ramirez Garcia Luna Thesis: Quadratic vector fields on the complex plane: rigidity and analytic invariants Advisor: Yulij Ilyashenko First position: Lebesgue Post-doc Fellow, Institut de Recherche Mathématique de Rennes
Iian Smythe Thesis: Set theory in infinite-dimensional vector spaces Advisor: Justin Moore First position: Hill Assistant Professor at Rutgers, the State University of New Jersey
Zhexiu Tu Thesis: Topological representations of matroids and the cd-index Advisor: Edward Swartz First position: Visiting Professor - Centre College, Kentucky
Wai-kit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University
Lucien Clavier Thesis: Non-affine horocycle orbit closures on strata of translation surfaces: new examples Advisor: John Smillie First position: Consultant in Capital Markets, Financial Risk at Deloitte Luxembourg
Voula Collins Thesis: Crystal branching for non-Levi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space Advisor: Allen Knutson FIrst position: Postdoctoral Associate, University of Connecticut
Pok Wai Fong Thesis: Smoothness Properties of symbols, Calderón Commutators and Generalizations Advisor: Camil Muscalu First position: Quantitative researcher, Two Sigma
Tom Kern Thesis: Nonstandard models of the weak second order theory of one successor Advisor: Anil Nerode First position: Visiting Assistant Professor, Cornell University
Robert Kesler Thesis: Unbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators Advisor: Camil Muscalu First position: Postdoctoral Associate, Georgia Institute of Technology
Yao Liu Thesis: Riesz Distributions Assiciated to Dunkl Operators Advisor: Yuri Berest First position: Visiting Assistant Professor, Cornell University
Scott Messick Thesis: Continuous atomata, compactness, and Young measures Advisor: Anil Nerode First position: Start-up
Aaron Palmer Thesis: Incompressibility and Global Injectivity in Second-Gradient Non-Linear Elasticity Advisor: Timothy J. Healey First position: Postdoctoral fellow, University of British Columbia
Kristen Pueschel Thesis: On Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups Advisor: Timothy Riley First position: Postdoctoral Associate, University of Arkansas
Chenxi Wu Thesis: Translation surfaces: saddle connections, triangles, and covering constructions. Advisor: John Smillie First position: Postdoctoral Associate, Max Planck Institute of
David Belanger Thesis: Sets, Models, And Proofs: Topics In The Theory Of Recursive Functions Advisor: Richard A. Shore First position: Research Fellow, National University of Singapore
Cristina Benea Thesis: Vector-Valued Extensions for Singular Bilinear Operators and Applications Advisor: Camil Muscalu First position: University of Nantes, France
Kai Fong Ernest Chong Thesis: Face Vectors and Hilbert Functions Advisor: Edward Swartz First position: Research Scientist, Agency for Science, Technology and Research, Singapore
Laura Escobar Vega Thesis: Brick Varieties and Toric Matrix Schubert Varieties Advisor: Allen Knutson First position: J. L. Doob Research Assistant Professor at UIUC
Joeun Jung Thesis: Iterated trilinear fourier integrals with arbitrary symbols Advisor: Camil Muscalu First position: Researcher, PARC (PDE and Functional Analysis Research Center) of Seoul National University
Yasemin Kara Thesis: The laplacian on hyperbolic Riemann surfaces and Maass forms Advisor: John H. Hubbard Part Time Instructor, Faculty of Engineering and Natural Sciences, Bahcesehir University
Chor Hang Lam Thesis: Homological Stability Of Diffeomorphism Groups Of 3-Manifolds Advisor: Allen Hatcher
Yash Lodha Thesis: Finiteness Properties And Piecewise Projective Homeomorphisms Advisor: Justin Moore and Timothy Riley First position: Postdoctoral fellow at Ecole Polytechnique Federale de Lausanne in Switzerland
Radoslav Zlatev Thesis: Examples of Implicitization of Hypersurfaces through Syzygies Advisor: Michael E. Stillman First position: Associate, Credit Strats, Goldman Sachs
Margarita Amchislavska Thesis: The geometry of generalized Lamplighter groups Advisor: Timothy Riley First position: Department of Defense
Hyungryul Baik Thesis: Laminations on the circle and hyperbolic geometry Advisor: John H. Hubbard First position: Postdoctoral Associate, Bonn University
Adam Bjorndahl Thesis: Language-based games Advisor: Anil Nerode and Joseph Halpern First position: Tenure Track Professor, Carnegie Mellon University Department of Philosophy
Youssef El Fassy Fihry Thesis: Graded Cherednik Algebra And Quasi-Invariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft
Chikwong Fok Thesis: The Real K-theory of compact Lie groups Advisor: Reyer Sjamaar First position: Postdoctoral fellow in the National Center for Theoretical Sciences, Taiwan
Kathryn Lindsey Thesis: Families Of Dynamical Systems Associated To Translation Surfaces Advisor: John Smillie First position: Postdoctoral Associate, University of Chicago
Andrew Marshall Thesis: On configuration spaces of graphs Advisor: Allan Hatcher First position: Visiting Assistant Professor, Cornell University
Robyn Miller Thesis: Symbolic Dynamics Of Billiard Flow In Isosceles Triangles Advisor: John Smillie First position: Postdoctoral Researcher at Mind Research Network
Diana Ojeda Aristizabal Thesis: Ramsey theory and the geometry of Banach spaces Advisor: Justin Moore First position: Postdoctoral Fellow, University of Toronto
Hung Tran Thesis: Aspects of the Ricci flow Advisor: Xiaodong Cao First position: Visiting Assistant Professor, University of California at Irvine
Baris Ugurcan Thesis: LPLP-Estimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs Advisor: Robert S. Strichartz First position: Postdoctoral Fellowship, University of Western Ontario
Anna Bertiger Thesis: The Combinatorics and Geometry of the Orbits of the Symplectic Group on Flags in Complex Affine Space Advisor: Allen Knutson First position: University of Waterloo, Postdoctoral Fellow
Mariya Bessonov Thesis: Probabilistic Models for Population Dynamics Advisor: Richard Durrett First position: CUNY City Tech, Assistant Professor, Tenure Track
Igors Gorbovickis Thesis: Some Problems from Complex Dynamical Systems and Combinatorial Geometry Advisor: Yulij Ilyashenko First position: Postdoctoral Fellow, University of Toronto
Marisa Hughes Thesis: Quotients of Spheres by Linear Actions of Abelian Groups Advisor: Edward Swartz First position: Visiting Professor, Hamilton College
Kristine Jones Thesis: Generic Initial Ideals of Locally Cohen-Macaulay Space Curves Advisor: Michael E. Stillman First position: Software Developer, Microsoft
Shisen Luo Thesis: Hard Lefschetz Property of Hamiltonian GKM Manifolds Advisor: Tara Holm First position: Associate, Goldman Sachs
Peter Luthy Thesis: Bi-parameter Maximal Multilinear Operators Advisor: Camil Muscalu First position: Chauvenet Postdoctoral Lecturer at Washington University in St. Louis
Remus Radu Thesis: Topological models for hyperbolic and semi-parabolic complex Hénon maps Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University
Jenna Rajchgot Thesis: Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane Advisor: Allen Knutson First position: Research member at the Mathematical Sciences Research Institute (fall 2012); postdoc at the University of Michigan
Raluca Tanase Thesis: Hénon maps, discrete groups and continuity of Julia sets Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University
Ka Yue Wong Thesis: Dixmier Algebras on Complex Classical Nilpotent Orbits and their Representation Theories Advisor: Dan M. Barbasch First position: Postdoctoral fellow at Hong Kong University of Science and Technology
Tianyi Zheng Thesis: Random walks on some classes of solvable groups Advisor: Laurent Saloff-Coste First position: Postdoctoral Associate, Stanford University
Juan Alonso Thesis: Graphs of Free Groups and their Measure Equivalence Advisor: Karen Vogtmann First position: Postdoc at Uruguay University
Jason Anema Thesis: Counting Spanning Trees on Fractal Graphs Advisor: Robert S. Strichartz First position: Visiting assistant professor of mathematics at Cornell University
Saúl Blanco Rodríguez Thesis: Shortest Path Poset of Bruhat Intervals and the Completecd-Index Advisor: Louis Billera First position: Visiting assistant professor of mathematics at DePaul University
Fatima Mahmood Thesis: Jacobi Structures and Differential Forms on Contact Quotients Advisor: Reyer Sjamaar First position: Visiting assistant professor at University of Rochester
Philipp Meerkamp Thesis: Singular Hopf Bifurcation Advisor: John M. Guckenheimer First position: Financial software engineer at Bloomberg LP
Milena Pabiniak Thesis: Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Advisor: Tara Holm First position: Postdoctoral associate at the University of Toronto
Peter Samuelson Thesis: Kauffman Bracket Skein Modules and the Quantum Torus Advisor: Yuri Berest First position: Postdoctoral associate at the University of Toronto
Mihai Bailesteanu Thesis: The Heat Equation under the Ricci Flow Advisor: Xiaodong Cao First position: Visiting assistant professor at the University of Rochester
Owen Baker Thesis: The Jacobian Map on Outer Space Advisor: Karen Vogtmann First position: Postdoctoral fellow at McMaster University
Jennifer Biermann Thesis: Free Resolutions of Monomial Ideals Advisor: Irena Peeva First position: Postdoctoral fellow at Lakehead University
Mingzhong Cai Thesis: Elements of Classical Recursion Theory: Degree-Theoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison
Ri-Xiang Chen Thesis: Hilbert Functions and Free Resolutions Advisor: Irena Peeva First position: Instructor at Shantou University in Guangdong, China
Denise Dawson Thesis: Complete Reducibility in Euclidean Twin Buildings Advisor: Kenneth S. Brown First position: Assistant professor of mathematics at Charleston Southern University
George Khachatryan Thesis: Derived Representation Schemes and Non-commutative Geometry Advisor: Yuri Berest First position: Reasoning Mind
Samuel Kolins Thesis: Face Vectors of Subdivision of Balls Advisor: Edward Swartz First position: Assistant professor at Lebanon Valley College
Victor Kostyuk Thesis: Outer Space for Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind
Ho Hon Leung Thesis: K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory Advisor: Reyer Sjamaar First position: Assistant professor at the Canadian University of Dubai
Benjamin Lundell Thesis: Selmer Groups and Ranks of Hecke Rings Advisor: Ravi Ramakrishna First position: Acting assistant professor at the University of Washington
Eyvindur Ari Palsson Thesis: Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator Advisor: Camil Muscalu First position: Visiting assistant professor at the University of Rochester
Paul Shafer Thesis: On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Advisor: Richard A. Shore First position: Lecturer at Appalachian State University
Michelle Snider Thesis: Affine Patches on Positroid Varieties and Affine Pipe Dreams Advisor: Allen Knutson First position: Government consulting job in Maryland
Santi Tasena Thesis: Heat Kernel Analysis on Weighted Dirichlet Spaces Advisor: Laurent Saloff-Coste First position: Lecturer professor at Chiang Mai University, Thailand
Russ Thompson Thesis: Random Walks and Subgroup Geometry Advisor: Laurent Saloff-Coste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute
Gwyneth Whieldon Thesis: Betti Numbers of Stanley-Reisner Ideals Advisor: Michael E. Stillman First position: Assistant professor of mathematics at Hood College
Andrew Cameron Thesis: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations Advisor: Alfred H. Schatz First position: Adjunct instructor of mathematics at Tompkins Cortland Community College
Timothy Goldberg Thesis: Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry Advisor: Reyer Sjamaar First position: Visiting assistant professor of mathematics at Lenoir-Rhyne University
Gregory Muller Thesis: The Projective Geometry of Differential Operators Advisor: Yuri Berest First position: Assistant professor at Louisiana State University
Matthew Noonan Thesis: Geometric Backlund transofrmation in homogeneous spaces Advisor: John H. Hubbard
Sergio Pulido Niño Thesis: Financial Markets with Short Sales Prohibition Advisor: Philip E. Protter First position: Postdoctoral associate in applied probability and finance at Carnegie Mellon University
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Dissertations
Here is the complete list of all doctoral dissertations granted by the School of Math, which dates back to 1965. Included below are also all masters theses produced by our students since 2002. A combined listing of all dissertations and theses , going back to 1934, is available at Georgia Tech's library archive. For the post PhD employment of our graduates see our Alumni Page .
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Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations
Mathematics Theses and Dissertations
Theses/dissertations from 2023 2023.
Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton
On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes
Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner
Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng
Theses/Dissertations from 2022 2022
Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings
The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha
Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay
Tangled up in Tanglegrams , Drew Joseph Scalzo
Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith
Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson
Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock
Theses/Dissertations from 2021 2021
Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington
Polynomials, Primes and the PTE Problem , Joseph C. Foster
Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat
A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara
Trimming Complexes , Keller VandeBogert
Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang
Theses/Dissertations from 2020 2020
An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea
Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice
Rationality Questions and the Derived Category , Alicia Lamarche
Counting Number Fields by Discriminant , Harsh Mehta
Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen
Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih
Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick
Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen
Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang
An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan
Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng
Theses/Dissertations from 2019 2019
Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood
On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark
A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar
Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes
Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell
Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin
Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu
An Implementation of the Kapustin-Li Formula , Jessica Otis
A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer
A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig
Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch
On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann
An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm
Dynamical Entropy of Quantum Random Walks , Duncan Wright
Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang
Theses/Dissertations from 2018 2018
Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed
Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai
Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran
Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman
A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna
Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard
Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson
Graph Homomorphisms and Vector Colorings , Michael Robert Levet
Local Rings and Golod Homomorphisms , Thomas Schnibben
States and the Numerical Range in the Regular Algebra , James Patrick Sweeney
Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao
Theses/Dissertations from 2017 2017
On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins
Subdivision of Measures of Squares , Dylan Bates
Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev
Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov
Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey
Nonequispaced Fast Fourier Transform , David Hughey
Deep Learning: An Exposition , Ryan Kingery
A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis
Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders
Theses/Dissertations from 2016 2016
On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein
Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu
Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky
On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich
Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short
Chebyshev Inversion of the Radon Transform , Jared Cameron Szi
Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang
Theses/Dissertations from 2015 2015
Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung
The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton
Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner
Avoiding Doubled Words in Strings of Symbols , Michael Lane
A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin
Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh
Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith
Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang
Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao
Theses/Dissertations from 2014 2014
The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard
Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn
Independence Polynomials , Gregory Matthew Ferrin
Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston
On the Group of Transvections of ADE-Diagrams , Marvin Jones
Fake Real Quadratic Orders , Richard Michael Oh
Theses/Dissertations from 2013 2013
Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown
Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole
Deducing Vertex Weights From Empirical Occupation Times , David Collins
Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler
Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove
Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy
Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington
The Weierstrass Approximation Theorem , LaRita Barnwell Hipp
The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations , Meshack K. Kiplagat
Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr
Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations , Rosalia Tatano
Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials , Daniel White
Theses/Dissertations from 2012 2012
A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices , Jonathan Brett Barwick
Mathematical Modeling and Computational Studies for Cell Signaling , Kanadpriya Basu
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Home > FACULTIES > Applied Mathematics > APMATHS-ETD
Applied Mathematics Theses and Dissertations
This collection contains theses and dissertations from the Department of Applied Mathematics, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository
Theses/Dissertations from 2023 2023
Visual Cortical Traveling Waves: From Spontaneous Spiking Populations to Stimulus-Evoked Models of Short-Term Prediction , Gabriel B. Benigno
Spike-Time Neural Codes and their Implication for Memory , Alexandra Busch
Study of Behaviour Change and Impact on Infectious Disease Dynamics by Mathematical Models , Tianyu Cheng
Series Expansions of Lambert W and Related Functions , Jacob Imre
Data-Driven Exploration of Coarse-Grained Equations: Harnessing Machine Learning , Elham Kianiharchegani
Pythagorean Vectors and Rational Orthonormal Matrices , Aishat Olagunju
The Magnetic Field of Protostar-Disk-Outflow Systems , Mahmoud Sharkawi
A Highly Charged Topic: Intrinsically Disordered Proteins and Protein pKa Values , Carter J. Wilson
Population Dynamics and Bifurcations in Predator-Prey Systems with Allee Effect , Yanni Zeng
Theses/Dissertations from 2022 2022
A Molecular Dynamics Study Of Polymer Chains In Shear Flows and Nanocomposites , Venkat Bala
On the Spatial Modelling of Biological Invasions , Tedi Ramaj
Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models , Yuzhu Ruan
A Theoretical Perspective on Parasite-Host Coevolution with Alternative Modes of Infection , George N. Shillcock
Theses/Dissertations from 2021 2021
Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation , Gianfranco Bino
Mathematical Modelling of Ecological Systems in Patchy Environments , Ao Li
Credit Risk Measurement and Application based on BP Neural Networks , Jingshi Luo
Coevolution of Hosts and Pathogens in the Presence of Multiple Types of Hosts , Evan J. Mitchell
SymPhas: A modular API for phase-field modeling using compile-time symbolic algebra , Steven A. Silber
Population and Evolution Dynamics in Predator-prey Systems with Anti-predation Responses , Yang Wang
Theses/Dissertations from 2020 2020
The journey of a single polymer chain to a nanopore , Navid Afrasiabian
Exploration Of Stock Price Predictability In HFT With An Application In Spoofing Detection , Andrew Day
Multi-Scale Evolution of Virulence of HIV-1 , David W. Dick
Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes. , Nickolas Goncharenko
Phage-Bacteria Interaction and Prophage Sequences in Bacterial Genomes , Amjad Khan
The Effect of the Initial Structure on the System Relaxation Time in Langevin Dynamics , Omid Mozafar
Mathematical modelling of prophage dynamics , Tyler Pattenden
Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra , Leili Rafiee Sevyeri
Abelian Integral Method and its Application , Xianbo Sun
Theses/Dissertations from 2019 2019
Algebraic Companions and Linearizations , Eunice Y. S. Chan
Algorithms for Mappings and Symmetries of Differential Equations , Zahra Mohammadi
Algorithms for Bohemian Matrices , Steven E. Thornton
A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals , Jeet Trivedi
Theses/Dissertations from 2018 2018
Properties and Computation of the Inverse of the Gamma function , Folitse Komla Amenyou
Optimization Studies and Applications: in Retail Gasoline Market , Daero Kim
Models of conflict and voluntary cooperation between individuals in non-egalitarian social groups , Cody Koykka
Investigation of chaos in biological systems , Navaneeth Mohan
Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model , Xiangyu Wang
Ecology and Evolution of Dispersal in Metapopulations , Jingjing Xu
Selected Topics in Quantization and Renormalization of Gauge Fields , Chenguang Zhao
Three Essays on Structural Models , Xinghua Zhou
Theses/Dissertations from 2017 2017
On Honey Bee Colony Dynamics and Disease Transmission , Matthew I. Betti
Simulation of driven elastic spheres in a Newtonian fluid , Shikhar M. Dwivedi
Feasible Computation in Symbolic and Numeric Integration , Robert H.C. Moir
Modelling Walleye Population and Its Cannibalism Effect , Quan Zhou
Theses/Dissertations from 2016 2016
Dynamics of Discs in a Nematic Liquid Crystal , Alena Antipova
Modelling the Impact of Climate Change on the Polar Bear Population in Western Hudson Bay , Nicole Bastow
A comparison of solution methods for Mandelbrot-like polynomials , Eunice Y. S. Chan
A model-based test of the efficacy of a simple rule for predicting adaptive sex allocation , Joshua D. Dunn
Universal Scaling Properties After Quantum Quenches , Damian Andres Galante
Modeling the Mass Function of Stellar Clusters Using the Modified Lognormal Power-Law Probability Distribution Function , Deepakshi Madaan
Bacteria-Phage Models with a Focus on Prophage as a Genetic Reservoir , Alina Nadeem
A Sequence of Symmetric Bézout Matrix Polynomials , Leili Rafiee Sevyeri
Study of Infectious Diseases by Mathematical Models: Predictions and Controls , SM Ashrafur Rahman
The survival probability of beneficial de novo mutations in budding viruses, with an emphasis on influenza A viral dynamics , Jennifer NS Reid
Essays in Market Structure and Liquidity , Adrian J. Walton
Computation of Real Radical Ideals by Semidefinite Programming and Iterative Methods , Fei Wang
Studying Both Direct and Indirect Effects in Predator-Prey Interaction , Xiaoying Wang
Theses/Dissertations from 2015 2015
The Effect of Diversification on the Dynamics of Mobile Genetic Elements in Prokaryotes: The Birth-Death-Diversification Model , Nicole E. Drakos
Algorithms to Compute Characteristic Classes , Martin Helmer
Studies of Contingent Capital Bonds , Jingya Li
Determination of Lie superalgebras of supersymmetries of super differential equations , Xuan Liu
Edge states and quantum Hall phases in graphene , Pavlo Piatkovskyi
Evolution of Mobile Promoters in Prokaryotic Genomes. , Mahnaz Rabbani
Extensions of the Cross-Entropy Method with Applications to Diffusion Processes and Portfolio Losses , Alexandre Scott
Theses/Dissertations from 2014 2014
A Molecular Simulation Study on Micelle Fragmentation and Wetting in Nano-Confined Channels , Mona Habibi
Study of Virus Dynamics by Mathematical Models , Xiulan Lai
Applications of Stochastic Control in Energy Real Options and Market Illiquidity , Christian Maxwell
Options Pricing and Hedging in a Regime-Switching Volatility Model , Melissa A. Mielkie
Optimal Contract Design for Co-development of Companion Diagnostics , Rodney T. Tembo
Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation , Yun Tian
Understanding Recurrent Disease: A Dynamical Systems Approach , Wenjing Zhang
Theses/Dissertations from 2013 2013
Pricing and Hedging Index Options with a Dominant Constituent Stock , Helen Cheyne
On evolution dynamics and strategies in some host-parasite models , Liman Dai
Valuation of the Peterborough Prison Social Impact Bond , Majid Hasan
Sensitivity Analysis of Minimum Variance Portfolios , Xiaohu Ji
Eigenvalue Methods for Interpolation Bases , Piers W. Lawrence
Hybrid Lattice Boltzmann - Molecular Dynamics Simulations With Both Simple and Complex Fluids , Frances E. Mackay
Ecological Constraints and the Evolution of Cooperative Breeding , David McLeod
A single cell based model for cell divisions with spontaneous topology changes , Anna Mkrtchyan
Analysis of Re-advanceable Mortgages , Almas Naseem
Modeling leafhopper populations and their role in transmitting plant diseases. , Ji Ruan
Topological properties of modular networks, with a focus on networks of functional connections in the human brain , Estefania Ruiz Vargas
Computation Sequences for Series and Polynomials , Yiming Zhang
Theses/Dissertations from 2012 2012
A Real Options Valuation of Renewable Energy Projects , Natasha Burke
Approximate methods for dynamic portfolio allocation under transaction costs , Nabeel Butt
Optimal clustering techniques for metagenomic sequencing data , Erik T. Cameron
Phase Field Crystal Approach to the Solidification of Ferromagnetic Materials , Niloufar Faghihi
Molecular Dynamics Simulations of Peptide-Mineral Interactions , Susanna Hug
Molecular Dynamics Studies of Water Flow in Carbon Nanotubes , Alexander D. Marshall
Valuation of Multiple Exercise Options , T. James Marshall
Incomplete Market Models of Carbon Emissions Markets , Walid Mnif
Topics in Field Theory , Alexander Patrushev
Pricing and Trading American Put Options under Sub-Optimal Exercise Policies , William Wei Xing
Further applications of higher-order Markov chains and developments in regime-switching models , Xiaojing Xi
Theses/Dissertations from 2011 2011
Bifurcations and Stability in Models of Infectious Diseases , Bernard S. Chan
Real Options Models in Real Estate , Jin Won Choi
Models, Techniques, and Metrics for Managing Risk in Software Engineering , Andriy Miranskyy
Thermodynamics, Hydrodynamics and Critical Phenomena in Strongly Coupled Gauge Theories , Christopher Pagnutti
Molecular Dynamics Studies of Interactions of Phospholipid Membranes with Dehydroergosterol and Penetrating Peptides , Amir Mohsen Pourmousa Abkenar
Socially Responsible Investment in a Changing World , Desheng Wu
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181 Mathematics Research Topics From PhD Experts
If you are reading this blog post, it means you are looking for some exceptional math research topics. You want them to be original, unique even. If you manage to find topics like this, you can be sure your professor will give you a top grade (if you write a decent paper, that is). The good news is that you have arrived at just the right place – at the right time. We have just finished updating our list of topics, so you will find plenty of original ideas right on this page. All our topics are 100 percent free to use as you see fit. You can reword them and you don’t need to give us any credit.
And remember: if you need assistance from a professional, don’t hesitate to reach out to us. We are not just the best place for math research topics for high school students; we are also the number one choice for students looking for top-notch research paper writing services.
Our Newest Research Topics in Math
We know you probably want the best and most recent research topics in math. You want your paper to stand out from all the rest. After all, this is the best way to get some bonus points from your professor. On top of this, finding some great topics for your next paper makes it easier for you to write the essay. As long as you know at least something about the topic, you’ll find that writing a great paper or buy phd thesis isn’t as difficult as you previously thought.
So, without further ado, here are the 181 brand new topics for your next math research paper:
Cool Math Topics to Research
Are you looking for some cool math topics to research? We have a list of original topics for your right here. Pick the one you like and start writing now:
- Roll two dice and calculate a probability
- Discuss ancient Greek mathematics
- Is math really important in school?
- Discuss the binomial theorem
- The math behind encryption
- Game theory and its real-life applications
- Analyze the Bernoulli scheme
- What are holomorphic functions and how do they work?
- Describe big numbers
- Solving the Tower of Hanoi problem
Undergraduate Math Research Topics
If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics:
- Methods to count discrete objects
- The origins of Greek symbols in mathematics
- Methods to solve simultaneous equations
- Real-world applications of the theorem of Pythagoras
- Discuss the limits of diffusion
- Use math to analyze the abortion data in the UK over the last 100 years
- Discuss the Knot theory
- Analyze predictive models (take meteorology as an example)
- In-depth analysis of the Monte Carlo methods for inverse problems
- Squares vs. rectangles (compare and contrast)
Number Theory Topics to Research
Interested in writing about number theory? It is not an easy subject to discuss, we know. However, we are sure you will appreciate these number theory topics:
- Discuss the greatest common divisor
- Explain the extended Euclidean algorithm
- What are RSA numbers?
- Discuss Bézout’s lemma
- In-depth analysis of the square-free polynomial
- Discuss the Stern-Brocot tree
- Analyze Fermat’s little theorem
- What is a discrete logarithm?
- Gauss’s lemma in number theory
- Analyze the Pentagonal number theorem
Math Research Topics for High School
High school students shouldn’t be too worried about their math papers because we have some unique, and quite interesting, math research topics for high school right here:
- Discuss Brun’s constant
- An in-depth look at the Brahmagupta–Fibonacci identity
- What is derivative algebra?
- Describe the Symmetric Boolean function
- Discuss orders of approximation in limits
- Solving Regiomontanus’ angle maximization problem
- What is a Quadratic integral?
- Define and describe complementary angles
- Analyze the incircle and excircles of a triangle
- Analyze the Bolyai–Gerwien theorem in geometry
- Math in our everyday life
Complex Math Topics
If you want to give some complex math topics a try, we have the best examples below. Remember, these topics should only be attempted by students who are proficient in mathematics:
- Mathematics and its appliance in Artificial Intelligence
- Try to solve an unsolved problem in math
- Discuss Kolmogorov’s zero-one law
- What is a discrete random variable?
- Analyze the Hewitt–Savage zero-one law
- What is a transferable belief model?
- Discuss 3 major mathematical theorems
- Describe and analyze the Dempster-Shafer theory
- An in-depth analysis of a continuous stochastic process
- Identify and analyze Gauss-Markov processes
Easy Math Research Paper Topics
Perhaps you don’t want to spend too much time working on your next research paper. Who can blame you? Check out these easy math research paper topics:
- Define the hyperbola
- Do we need to use a calculator during math class?
- The binomial theorem and its real-world applications
- What is a parabola in geometry?
- How do you calculate the slope of a curve?
- Define the Jacobian matrix
- Solving matrix problems effectively
- Why do we need differential equations?
- Should math be mandatory in all schools?
- What is a Hessian matrix?
Logic Topics to Research
We have some interesting logical topics for research papers. These are perfect for students interested in writing about math logic. Pick one right now:
- Discuss the reductio ad absurdum approach
- Discuss Boolean algebra
- What is consistency proof?
- Analyze Trakhtenbrot’s theorem (the finite model theory)
- Discuss the Gödel completeness theorem
- An in-depth analysis of Morley’s categoricity theorem
- How does the Back-and-forth method work?
- Discuss the Ehrenfeucht–Fraïssé game technique
- Discuss Aleph numbers (Aleph-null and Aleph-one)
- Solving the Suslin problem
Algebra Topics for a Research Paper
Would you like to write about an algebra topic? No problem, our seasoned writers have compiled a list of the best algebra topics for a research paper:
- Discuss the differential equation
- Analyze the Jacobson density theorem
- The 4 properties of a binary operation in algebra
- Analyze the unary operator in depth
- Analyze the Abel–Ruffini theorem
- Epimorphisms vs. monomorphisms: compare and contrast
- Discuss the Morita duality in algebraic structures
- Idempotent vs. nilpotent in Ring theory
- Discuss the Artin-Wedderburn theorem
- What is a commutative ring in algebra?
- Analyze and describe the Noetherian ring
Math Education Research Topics
There is nothing wrong with writing about math education, especially if your professor did not give you writing prompts. Here are some very nice math education research topics:
- What are the goals a mathematics professor should have?
- What is math anxiety in the classroom?
- Teaching math in UK schools: the difficulties
- Computer programming or math in high school?
- Is math education in Europe at a high enough level?
- Common Core Standards and their effects on math education
- Culture and math education in Africa
- What is dyscalculia and how does it manifest itself?
- When was algebra first thought in schools?
- Math education in the United States versus the United Kingdom
Computability Theory Topics to Research
Writing about computability theory can be a very interesting adventure. Give it a try! Here are some of our most interesting computability theory topics to research:
- What is a multiplication table?
- Analyze the Scholz conjecture
- Explain exponentiating by squaring
- Analyze the Myhill-Nerode theorem
- What is a tree automaton?
- Compare and contrast the Pushdown automaton and the Büchi automaton
- Discuss the Markov algorithm
- What is a Turing machine?
- Analyze the post correspondence problem
- Discuss the linear speedup theorem
- Discuss the Boolean satisfiability problem
Interesting Math Research Topics
We know you want topics that are interesting and relatively easy to write about. This is why we have a separate list of our most interesting math research topics:
- What is two-element Boolean algebra?
- The life of Gauss
- The life of Isaac Newton
- What is an orthodiagonal quadrilateral?
- Tessellation in Euclidean plane geometry
- Describe a hyperboloid in 3D geometry
- What is a sphericon?
- Discuss the peculiarities of Borel’s paradox
- Analyze the De Finetti theorem in statistics
- What are Martingales?
- The basics of stochastic calculus
Applied Math Research Topics
Interested in writing about applied mathematics? Our team managed to create a list of awesome applied math research topics from scratch for you:
- Discuss Newton’s laws of motion
- Analyze the perpendicular axes rule
- How is a Galilean transformation done?
- The conservation of energy and its applications
- Discuss Liouville’s theorem in Hamiltonian mechanics
- Analyze the quantum field theory
- Discuss the main components of the Lorentz symmetry
- An in-depth look at the uncertainty principle
Geometry Topics for a Research Paper
Geometry can be a very captivating subject, especially when you know plenty about it. Check out our list of geometry topics for a research paper and pick the best one today:
- Most useful trigonometry functions in math
- The life of Archimedes and his achievements
- Trigonometry in computer graphics
- Using Vincenty’s formulae in geodesy
- Define and describe the Heronian tetrahedron
- The math behind the parabolic microphone
- Discuss the Japanese theorem for concyclic polygons
- Analyze Euler’s theorem in geometry
Math Research Topics for Middle School
Yes, even middle school children can write about mathematics. We have some original math research topics for middle school right here:
- Finding critical points in a graph
- The basics of calculus
- What makes a graph ultrahomogeneous?
- How do you calculate the area of different shapes?
- What contributions did Euclid have to the field of mathematics?
- What is Diophantine geometry?
- What makes a graph regular?
- Analyze a full binary tree
Math Research Topics for College Students
As you’ve probably already figured out, college students should pick topics that are a bit more complex. We have some of the best math research topics for college students right here:
- What are extremal problems and how do you solve them?
- Discuss an unsolvable math problem
- How can supercomputers solve complex mathematical problems?
- An in-depth analysis of fractals
- Discuss the Boruvka’s algorithm (related to the minimum spanning tree)
- Discuss the Lorentz–FitzGerald contraction hypothesis in relativity
- An in-depth look at Einstein’s field equation
- The math behind computer vision and object recognition
Calculus Topics for a Research Paper
Let’s face it: calculus is not a very difficult field. So, why don’t you pick one of our excellent calculus topics for a research paper and start writing your essay right away:
- When do we need to apply the L’Hôpital rule?
- Discuss the Leibniz integral rule
- Calculus in ancient Egypt
- Discuss and analyze linear approximations
- The applications of calculus in real life
- The many uses of Stokes’ theorem
- Discuss the Borel regular measure
- An in-depth analysis of Lebesgue’s monotone convergence theorem
Simple Math Research Paper Topics for High School
This is the place where you can find some pretty simple topics if you are a high school student. Check out our simple math research paper topics for high school:
- The life and work of the famous Pierre de Fermat
- What are limits and why are they useful in calculus?
- Explain the concept of congruency
- The life and work of the famous Jakob Bernoulli
- Analyze the rhombicosidodecahedron and its applications
- Calculus and the Egyptian pyramids
- The life and work of the famous Jean d’Alembert
- Discuss the hyperplane arrangement in combinatorial computational geometry
- The smallest enclosing sphere method in combinatorics
Business Math Topics
If you want to surprise your professor, why don’t you write about business math? We have some exceptional topics that nobody has thought about right here:
- Is paying a loan with another loan a good approach?
- Discuss the major causes of a stock market crash
- Best debt amortization methods in the US
- How do bank loans work in the UK?
- Calculating interest rates the easy way
- Discuss the pros and cons of annuities
- Basic business math skills everyone should possess
- Business math in United States schools
- Analyze the discount factor
Probability and Statistics Topics for Research
Probability and statistics are not easy fields. However, you can impress your professor with one of our unique probability and statistics topics for research:
- What is the autoregressive conditional duration?
- Applying the ANOVA method to ranks
- Discuss the practical applications of the Bates distribution
- Explain the principle of maximum entropy
- Discuss Skorokhod’s representation theorem in random variables
- What is the Factorial moment in the Theory of Probability?
- Compare and contrast Cochran’s C test and his Q test
- Analyze the De Moivre-Laplace theorem
- What is a negative probability?
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Mathematical Institute
Please note the following topics are only open to Part C Maths, Maths & Phil, Maths & CompSci and OMMS students. For current students please see the full proposals here .
Representations of finite Hecke algebras – Prof D Ciubotaru
Algebraic Methods for Maximum Likelihood Estimation – Dr J Coons
Homotopy Type Theory – Prof Y Kremnitzer
Mathematical Consciousness Science – Prof Y Kremnitzer
D-modules – Prof K Ardakov
Reducibility hyperplanes for filtered quantizations of nilpotent co-adjoint orbits – Dr L Mason-Brown
Equations in finite groups and probability – Prof N Nikolov
von Neumann algebras and Tomita-Takesaki theory – Prof A Henriques
Regularity Theory for the Kinetic Landau Equation – Dr I B Porat
Convolution equations and mean-periodicity – Prof J Kristensen
On the regularity and partial regularity for elliptic systems – Prof L Nguyen
Stability of geometric inequalities – Dr M Tiba
Harmonic maps into the sphere – Prof M Rupflin
CStar-Algebras – Prof S White
Nonlinear Fokker Planck Equations with Nonlocal Diffusions – Prof J Carrillo (please note that there is only 1 space available)
Geometry, Number Theory and Topology
Torsion of elliptic curves and abelian varieties – Dr A Horawa
Symplectic geometry and quantisation – Prof A Dancer
The Hardy-Littlewood Method – Prof B Green
Hodge Theory in positive characteristic - Prof D Rossler
Varieties which cannot be lifted to a field of characteristic - Prof D Rossler
Topics in Riemannian holonomy groups – Prof D Joyce
Interactions between Ergodic Theory and Number Theory – Prof E Breulliard
Injective metric spaces and Helly groups – Dr H Petyt
Goldbach's Conjecture – Prof J Maynard
Galois representations – Prof J Newton
The Positive Mass Theorem – Prof J Lotay
HKR Character Theory – Dr L Brantner
Serre-Tate Theory – Dr L Brantner
Automatic groups – Dr S Hughes
Analysis of Boolean Functions – Prof T Sanders
Model theory of valued fields – Dr J Ye
Model theory of ordered abelian groups – Prof J Koenigsmann
Taming Topological Properties – Dr R Suabedissen
Set-theoretic forcing – Prof E Hrushovski
Mathematical Methods and Applications
Mathematical modelling of the mechanics of sport – Prof D Moulton
Elastocapillarity - Dynamics and Statics – Prof D Vella
Modelling aspects of cells and Stokes flows in mathematical biology – Prof E Gaffney
Modelling aspects of cellular signalling beyond the simplest Turing mechanism – Prof E Gaffney
Modelling floating ice shelves – Prof I Hewitt
All-atom molecular dynamics and coarse-grained simulations of biomolecules – Prof R Erban
Hilbert's 16th problem, limit cycles and polynomial vector fields – Prof R Erban
Similarity and percolation on networks – Prof R Lambiotte
Branching process models for estimating the probability of a major infectious disease epidemic – Dr R Thompson and Dr W Hart
Numerical Analysis and Data Science
Machine Learning and Artificial Intelligence in Healthcare – Dr A Kormilitzin & Prof N Buckley
Optimization problems and algorithms – Prof C Cartis
Compressed sensing, matrix completion, and related low complexity sampling models – Prof J Tanner
Multilevel Radial Basis Function Approximation of PDEs – Dr K Gillow
Numerical Solution of Problems in Electrochemistry – Dr K Gillow
Topics in Randomised Numerical Linear Algebra – Prof Y Nakatsukasa
Stochastics, Discrete Mathematics and Information
String graphs – Prof A Scott
Probabilistic approaches to Stefan type problems – Prof B Hambly
New examples of rough paths in stochastic analysis and data science – Dr E Rossi Ferrucci
The Erdos-Kac Theorem and its Extensions – Prof L Arguin
Combinatorical applications of hypercontractivity – Prof P Keevash
Rough paths and anomalous streams in electrictiy data – Prof T Lyons
Conditional diffusion laws and random vortex method – Prof Z Qian
Simulations of turbulent flows via PDF method - Prof Z Qian
History of Mathematics
Supervised by Prof C Hollings.
Department of Statistics
Brownian bees: branching and selection – Prof J Berestycki
Knowledge (Self) distillation in machine learning – Prof F Caron
Bayesian modelling of change points – Dr O Crook
Statistical properties of Denoising Diffusion Models – Prof G Deligiannidis
How many have died due to the COVID-19 pandemic and who was at greatest risk? An analysis of excess deaths – Prof C Donnelly
Proximal Causal Inference – Prof R Evans
Epidemiology models with contract tracing – Dr F Foutel-Rodier
Corner Cutting in Statistical Alignment – Prof J Hein
Contagious sets in random networks – Dr B Kolesnik
Random Matching Models – Prof J Martin
Applications of Machine Learning to Drug Discovery – Prof G Morris
Bayes Methods for rank data arising in sporting competitions and social hierarchies – Prof G Nicholls
Statistical learning theory and algorithms – Prof P Rebeschini
Two Sample Mendelian Randomisation – Prof F Windmeijer
IMAGES
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bio-mathematics: introduction to the mathematical model of the hepatitis c virus, lucille j. durfee PDF ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez
Mathematical Institute Please note the following topics are only open to Part C Maths, Maths & Phil, Maths & CompSci and OMMS students. For current students please see the full proposals here. Algebra Representations of finite Hecke algebras - Prof D Ciubotaru Homotopy Type Theory - Prof K Kremnitzer
Welcome to the Harvard Department of Mathematics PhD Dissertations Archival Listing. Browse through an extensive collection of PhD dissertations here.
Theses/Dissertations from 2016 PDF. A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida, Joy Marie D'andrea. PDF. Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize, Sherlene Enriquez-Savery. PDF. Putnam's Inequality and Analytic Content in the Bergman Space, Matthew Fleeman. PDF
Theses/Dissertations from 2020. Mathematical Identities of Students with Mathematics Learning Dis/abilities, Emma Lynn Holdaway. Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures, Porter Peterson Nielsen. Student Use of Mathematical Content Knowledge During Proof Production, Chelsey Lynn ...
Dissertation Topics Titles 2022-23 Introduction to Dissertation OMMS and Part C students are required to undertake a dissertation worth two units as part of their degree programme. This can be either a mathematics dissertation or a statistics dissertation.
A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 2023 Melanie Kobras - Low order models of storm track variability
losophy Part C students may opt to o er a mathematics dissertation. For Part C Mathematics & Statistics, students are required to complete a statistics dissertation. All students on Part C Mathematics and the M.Sc. in Mathematical Sciences must complete a dissertation as part of the course and will be able to choose topics from either department.
A selection of dissertation titles are listed below, some of which are available online: 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 2014: Mathematics of Scientific and Industrial Computation Amanda Hynes - Slow and superfast diffusion of contaminant species through porous media
See a list of PhD Dissertations in Mathematics over the last 20 years at The University of Texas at Dallas.
Mathematics thesis and dissertation collection Browse By By Issue Date Authors Titles Subjects Publication Type Sponsor Supervisors Search within this Collection: Go This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record.
Dissertation in mathematics. This module enables you to carry out a sustained, guided, independent study of a topic in mathematics. Currently there are six topics to choose from: algebraic graph theory; aperiodic tilings and symbolic dynamics; dynamical functional equations and applications; history of modern geometry; interfacial flows and ...
Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University Shiping Cao
Here is the complete list of all doctoral dissertations granted by the School of Math, which dates back to 1965. Included below are also all masters theses produced by our students since 2002. A combined listing of all dissertations and theses, going back to 1934, is available at Georgia Tech's library archive.
Theses/Dissertations from 2022 PDF Covering Systems and the Minimum Modulus Problem, Maria Claire Cummings PDF The Existence and Quantum Approximation of Optimal Pure State Ensembles, Ryan Thomas McGaha PDF Structure Preserving Reduced-Order Models of Hamiltonian Systems, Megan Alice McKay PDF Tangled up in Tanglegrams, Drew Joseph Scalzo PDF
Dissertation Topics Titles 2022-23 | Mathematical Institute Home Members Students Undergraduate Courses Teaching and Learning Part C Students Teaching and Learning Mathematical Institute Please note the following topics are only open to Part C Maths, Maths & Phil, Maths & CompSci and OMMS students.
Theses/Dissertations from 2021. PDF. Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation, Gianfranco Bino. PDF. Mathematical Modelling of Ecological Systems in Patchy Environments, Ao Li. PDF. Credit Risk Measurement and Application based on BP Neural Networks, Jingshi Luo. PDF.
Diameters of graphs related to groups and base sizes of primitive groups . Freedman, Saul Daniel (2022-11-29) - Thesis. In this thesis, we study three problems. First, we determine new bounds for base sizes b (G,Ω) of primitive subspace actions of finite almost simple classical groups G. Such base sizes are useful statistics in ...
Discuss ancient Greek mathematics Is math really important in school? Discuss the binomial theorem The math behind encryption Game theory and its real-life applications Analyze the Bernoulli scheme What are holomorphic functions and how do they work? Describe big numbers Solving the Tower of Hanoi problem Undergraduate Math Research Topics
Algebra Representations of finite Hecke algebras - Prof D Ciubotaru Algebraic Methods for Maximum Likelihood Estimation - Dr J Coons Homotopy Type Theory - Prof Y Kremnitzer Mathematical Consciousness Science - Prof Y Kremnitzer D-modules - Prof K Ardakov
Analysis of the vibration of flexible structures. Research on vibrations of flexible structures is ongoing in engineering and applied mathematics fields. Flexible structures in practice can be considered as systems of interconnected rod-like components. This dissertation ...
We have provided this selection of example maths dissertation titles to help and inspire you in choosing a title.... Last modified: 16th Aug 2021 Modelling the Travel Time of Herbicide into the Soil Dissertation Introductions
Maths Dissertation Titles Disclaimer: This dissertation topic or title was produced by one of our dissertation writers to help university students with their studies. View full disclaimer Title Maths Dissertation Titles Info: 91 words (0 pages) Dissertation Title Published: 16th Aug 2021 in Dissertation Title Reference this Tagged: Mathematics