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Mathematics Theses, Projects, and Dissertations
Theses/projects/dissertations from 2024 2024.
On Cheeger Constants of Knots , Robert Lattimer
Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications , Alexis Anne Wallace
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
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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.
OU | Postgraduate |
SCQF | 11 |
FHEQ | 7 |
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 four modules from the MSc in Mathematics (F04) .
If you’ve passed only three modules, you may request exceptional permission to take M840 alongside another module.
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.
Start | End | England fee | Register |
---|---|---|---|
05 Oct 2024 | Jun 2025 | £1360.00 | Registration closes 05/09/24 (places subject to availability) |
This module is expected to start for the last time in October 2029. |
Additional costs
Study costs.
There may be extra costs on top of the tuition fee, such as set books, a computer and internet access.
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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 Ventura 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 .
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MSc Mathematical & Computational Finance: sample dissertations
Below are some examples of MSc dissertations from previous years, which received high marks:
- Optimal Strategies from forward versus classical utilities
- Robust Pricing of Derivatives on Realised Variance
- Log Mean-Variance Portfolio Theory and Time Inconsistency
- Multilayer network valuation under bail-in
- Topological Persistence in Market Micro Structure
- Volatility is Rough
- Deep learning approach to hedging (2019 prize for best Master’s Thesis in Quantitative Finance by Natixis Foundation for Research & Innovation.)
- Risk Management with Generative Adversarial Networks.pdf (Won award for best Masters Thesis in Quantitative Finance in Europe in 2020)
- Hawkes Process-Driven Models for Limit Order Book Dynamics.pdf (Won award for best Masters Thesis in Quantitative Finance in Europe in 2021)
- Evaluating Credit Portfolios under IFRS 9 in the UK Economy
Mathematics Institute
Msc dissertations, mathematics dissertations.
The MSc dissertation counts for 90 CATS - that is, half of the total MSc load.
A dissertation is usually expository, collecting together results from several research papers into a coherent whole. Sometimes dissertations contain original research, and this is encouraged where appropriate. The general framework of a dissertation must be approved by the supervisor. This page may help to find staff members with interesting topics.
The appropriate length for a dissertation will vary with the topic, the formatting, and whether or not it includes figures, etc. As a guide, most MSc dissertations are between 30 and 50 A4 pages, double spaced, with normal font size and margins. Longer dissertations are not necessarily better, and the marks obtained depend much more on the quality of the content (especially the mathematics) than on the number of words. It is essential that the dissertation is well presented.
The dissertation should normally be produced in TEX or LaTEX. The package here is intended for PhD theses, but it can also be used for MSc dissertations. Suitable past dissertations are available for inspection. If you are in any doubt, please consult your supervisor or the Director of the MSc.
Interdisciplinary Mathematics Dissertations
For MSc Interdisciplinary Mathematics candidates the above holds, although these dissertations may be longer if they contain many diagrams, data or programs for example. The level of sophistication of the mathematics used in the dissertation may be lower than that expected in a straight Mathematics MSc provided that the dissertation demonstrates a compensating degree of understanding of the role or appropriate use of the mathematics described. The mathematics in the dissertation should be correct, appropriate for the interdisciplinary topic under discussion, and should say something of scientific value. This page may help to find staff members in the math dept with interesting topics.
Dissertation Marks
The dissertation is read by two internal examiners (including a supervisor) who report to the Examination Board. For MSc Interdisciplinary Mathematics dissertations, reports are generally requested from an internal examiner in each of the relevant departments to ensure sufficient interdisciplinary quality.
Examiners are asked to discuss the dissertation under the headings: Accuracy and depth of understanding (40%); Level of difficulty and degree of originality (40%); Exposition (10%); Context/Literature Bibliography (10%). The marks are passed to the Examination Board. The external examiner reviews the dissertations and marks prior to the Examination Board meeting.
The dissertation pass mark is 50% and students must pass the dissertation in order to pass the MSc.
Submitting your Dissertation or Postgraduate Diploma Project
The submission deadline is 2nd September 2024. Submissions will be made via Moodle. Further details will be provided closer to the deadline.
The name of the candidate's supervisor must be stated on the title page of the dissertation. The introduction to the dissertation should state clearly all sources used, and should pinpoint clearly any original passages claimed. The candidate should briefly describe how the sources were used and their relation to the dissertation. Acknowledgements should also appear, where appropriate, in the body of the dissertation. References with precise bibliographic details should be included. A dissertation will not be accepted if any reader (including one unfamiliar with the contents of the references cited) could gain a mistaken impression that expository material is the candidate's own original work.
Good English style, with correct grammar and spelling, is expected. The books Writing Mathematics Well by L. Gillman, and How to Write Mathematics by N.E. Steenrod et al. (AMS 1973) are recommended. (Both can be found in the Library catalogue .) In addition, supervisors can often help by suggesting which published mathematical papers are good models of exposition, and which are not.
Postgraduate Diploma Project
The expected standard in a Postgraduate Diploma is less than that for an MSc degree. If a candidate is recommended to transfer to the Postgraduate Diploma as a result of their examination results, the candidate will need to write a (Diploma) project rather than a dissertation. Students on the 2 year MSc course will submit a project at the end of their first year
The Diploma project counts for 24 CATS (rather than 90 CATS for an MSc dissertation). It is usually an expository work describing a piece of mathematics (which may be related to material covered in lectures). Sometimes a project may involve numerical work or a guided exploration of some particular problem. The project should normally be about 10-20 pages long and should show that the candidate is capable of writing about mathematics in a coherent fashion. The general framework of the project must be approved by the supervisor. The project is marked against these criteria and not against that for the MSc.
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Mathematics thesis and dissertation collection
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By Issue Date Authors Titles Subjects Publication Type Sponsor Supervisors
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This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
Recent Submissions
Applications and improvements of the adaptive large neighbourhood search , lᵖ boundary value problems for elliptic and parabolic operators , twistor theory and its applications in asymptotically flat spacetimes , theory and simulation of interacting particle systems and mckean-vlasov processes: the super measure class, ergodicity, and weak error , spencer cohomology, supersymmetry and the structure of killing superalgebras , higher triangulated categories and fourier-mukai transforms on abelian surfaces and threefolds , investigating computer aided assessment of mathematical proof by varying the format of students' answers and the structure of assessment design by stack , estimation and application of bayesian hawkes process models , novel statistical learning approaches for open banking-type data , 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 .
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Theses and dissertations
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A selection of PhD theses and MSc dissertations are available for you to read:
- mathematics PhD theses
- statistics PhD theses
- mathematics MSc dissertations .
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IMAGES
VIDEO
COMMENTS
Theses/Projects/Dissertations from 2024. PDF. On Cheeger Constants of Knots, Robert Lattimer. PDF. Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications, Alexis Anne Wallace.
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.
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 ...
This is a guide on how to write an MSc dissertation. It is written for Master’s students at the Department of Mathematics at the London School of Economics. It is not an official document, but tries to provide help, and addresses common difficulties of students and con-cerns of their supervisors.
The dissertation normally involves writing a substantial account of a topic that is of current research interest; in particular, you can expect the mathematics (which you will largely be learning independently) in the dissertation to be hard!
A student's dissertation topic should be selected in consultation with their supervisor and the details of the form and scope of the dissertation are described in the Regulations. Here are some potential dissertation projects for the academic year 2022-23.
MSc Mathematical & Computational Finance: sample dissertations. Below are some examples of MSc dissertations from previous years, which received high marks: Optimal Strategies from forward versus classical utilities. Robust Pricing of Derivatives on Realised Variance.
The mathematics in the dissertation should be correct, appropriate for the interdisciplinary topic under discussion, and should say something of scientific value. This page may help to find staff members in the math dept with interesting topics.
This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record. This material is presented to ensure timely dissemination of scholarly and technical work.
A selection of PhD theses and MSc dissertations are available for you to read: mathematics PhD theses; statistics PhD theses; mathematics MSc dissertations.