dissertation oxford maths

ORA Oxford Thesis Collection

All theses written in fulfilment of a University of Oxford post-graduate research degree are eligible for deposit to ORA, and it has been mandated as part of the requirements surrounding a research degree for students who commenced their study from 1st October 2007 to deposit a complete copy to ORA.

For every thesis deposited, an ORA record page is created, and this content is openly shared via the ORA API, including to specific services such as the British Library's EThOS service. The ORA Oxford Thesis Collection presents the theses available within ORA. For many of these works ORA is the only space in which the content is made available, making it a valuable resource for accessing the research being undertaken by the University of Oxford students and early career researchers.

If you undertook your research degree at Oxford and would like to make your thesis available via ORA, please see the ORA theses LibGuide for further information or contact the ORA team.

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Oxford theses

The Bodleian Libraries’ thesis collection holds every DPhil thesis deposited at the University of Oxford since the degree began in its present form in 1917. Our oldest theses date from the early 1920s. We also have substantial holdings of MLitt theses, for which deposit became compulsory in 1953, and MPhil theses.

Since 2007 it has been a mandatory requirement for students to deposit an electronic copy of their DPhil thesis in the Oxford University Research Archive (ORA) , in addition to the deposit of a paper copy – the copy of record. Since the COVID pandemic, the requirement of a paper copy has been removed and the ORA copy has become the copy of record. Hardcopy theses are now only deposited under exceptional circumstances. 

ORA provides full-text PDF copies of most recent DPhil theses, and some earlier BLitt/MLitt theses. Find out more about Oxford Digital Theses, and depositing with ORA .

Finding Oxford theses

The following theses are catalogued on SOLO (the University libraries’ resource discovery tool) :

• DPhil and BLitt and MLitt theses
• BPhil and MPhil theses 
• Science theses

SOLO collates search results from several sources.

How to search for Oxford theses on SOLO

To search for theses in the Oxford collections on SOLO :

• navigate to the SOLO homepage
• click on the 'Advanced Search' button
• click the 'Material Type' menu and choose the 'Dissertations' option
• type in the title or author of the thesis you are looking for and click the 'Search' button.

Also try an “Any field” search for “Thesis Oxford” along with the author’s name under “creator” and any further “Any field” keywords such as department or subject. 

Searching by shelfmarks

If you are searching using the shelfmark, please make sure you include the dots in your search (e.g. D.Phil.). Records will not be returned if they are left out.

Oxford University Research Archive (ORA)

ORA was established in 2007 as a permanent and secure online archive of research produced by members of the University of Oxford. It is now mandatory for students completing a research degree at the University to deposit an electronic copy of their thesis in this archive. 

Authors can select immediate release on ORA, or apply a 1-year or 3-year embargo period. The embargo period would enable them to publish all or part of their research elsewhere if they wish. 

Theses held in ORA are searchable via  SOLO , as well as external services such as EThOS and Google Scholar. For more information, visit the Oxford digital theses guide , and see below for guidance on searching in ORA.

Search for Oxford theses on ORA

Type your keywords (title, name) into the main search box, and use quotes (“) to search for an exact phrase.

Refine your search results using the drop-downs on the left-hand side. These include:

• item type (thesis, journal article, book section, etc.)
• thesis type (DPhil, MSc, MLitt, etc.)
• subject area (History, Economics, Biochemistry, etc.)
• item date (as a range)
• file availability (whether a full text is available to download or not)

You can also increase the number of search results shown per page, and sort by relevance, date and file availability. You can select and export records to csv or email. 

Select hyperlinked text within the record details, such as “More by this author”, to run a secondary search on an author’s name. You can also select a hyperlinked keyword or subject. 

Other catalogues

Card catalogue  .

The Rare Books department of the Weston Library keeps an author card index of Oxford theses. This includes all non-scientific theses deposited between 1922 and 2016. Please ask Weston Library staff for assistance.

ProQuest Dissertations & Theses

You can use ProQuest Dissertations & Theses Global  to find bibliographic details of Oxford theses not listed on SOLO. Ask staff in the Weston Library’s Charles Wendall David Reading Room for help finding these theses. 

Search for Oxford theses on ProQuest Dissertations & Theses Global

Basic search.

The default Basic search page allows for general keyword searches across all indexes using "and", "and not", "and or" to link the keywords as appropriate. Click on the More Search Options tab for specific title, author, subject and institution (school) searches, and to browse indexes of authors, institutions and subjects. These indexes allow you to add the word or phrase recognised by the database to your search (ie University of Oxford (United Kingdom), not Oxford University).

Advanced search

The Advanced search tab (at the top of the page) enables keyword searching in specific indexes, including author, title, institution, department, adviser and language. If you are unsure of the exact details of thesis, you can use the search boxes on this page to find it by combining the key information you do have.

Search tools

In both the Basic and Advanced search pages you can also limit the search by date by using the boxes at the bottom. Use the Search Tools advice in both the Basic and Advanced pages to undertake more complex and specific searches. Within the list of results, once you have found the record that you are interested in, you can click on the link to obtain a full citation and abstract. You can use the back button on your browser to return to your list of citations.

The Browse search tab allows you to search by subject or by location (ie institution). These are given in an alphabetical list. You can click on a top-level subject to show subdivisions of the subject. You can click on a country location to show lists of institutions in that country. At each level, you can click on View Documents to show lists of individual theses for that subject division or from that location.

In Browse search, locations and subject divisions are automatically added to a basic search at the bottom of the page. You can search within a subject or location by title, author, institution, subject, date etc, by clicking on Refine Search at the top of the page or More Search Options at the bottom of the page.

Where are physical Oxford theses held?

The Bodleian Libraries hold all doctoral theses and most postgraduate (non-doctoral) theses for which a deposit requirement is stipulated by the University:

• DPhil (doctoral) theses (1922 – 2021)
• Bachelor of Divinity (BD) theses
• BLitt/MLitt theses (Michaelmas Term 1953 – 2021)
• BPhil and MPhil theses (Michaelmas Term 1977 – 2021)

Most Oxford theses are held in Bodleian Offsite Storage. Some theses are available in the libraries; these are listed below.

Law Library

Theses submitted to the Faculty of Law are held at the Bodleian Law Library .

Vere Harmsworth Library

Theses on the United States are held at the Vere Harmsworth Library .

Social Science Library

The Social Science Library holds dissertations and theses selected by the departments it supports. 

The list of departments and further information are available in the Dissertations and Theses section of the SSL webpages. 

Locations for Anthropology and Archaeology theses

The Balfour Library holds theses for the MPhil in Material and Visual Anthropology and some older theses in Prehistoric Archaeology.

The Art, Archaeology and Ancient World Library holds theses for MPhil in Classical Archaeology and MPhil in European Archaeology.

Ordering Oxford theses

Theses held in Bodleian Offsite Storage are consulted in the Weston Library. The preferred location is the Charles Wendell David Reading Room ; they can also be ordered to the Sir Charles Mackerras Reading Room .

Find out more about requesting a digitised copy, copyright restrictions and copying from Oxford theses .

• Bodleian Libraries
• Oxford LibGuides
• Theses & Dissertations

Statistics: Theses & Dissertations

• Journals and Conference Proceedings
• Online resources

Finding Oxford theses

SOLO allows you to search for Theses in the Oxford collections.

1. Navigate to the SOLO homepage.

2. Click on the ' Advanced Search ' button

3. Click the ' Resource Type ' menu and choose the ' Theses ' option.

4. Type in the title or author of the thesis you are looking for and click the ' Search ' button.

Theses and dissertations online

Electronic collections.

A number of recent theses and dissertations prepared at Oxford are available to download from the Oxford Research Archive (ORA) . The British Library provides access to UK theses through its EThOS service [Currently unavailable].

Links for Theses and Dissertations

• Proquest Dissertations and Theses Search a wider range of theses and dissertations.
• Oxford Research Archive (ORA) Search for and download recent Oxford theses.
• EThOS Access to UK theses from the British Library [Currently unavailable]. more... less... To use this service you will be required to set up an individual account.
• DART-Europe Search European E-theses.
• NDLTD Networked Digital Library of Theses and Dissertations. Search and access e-theses and dissertations from around the world.

Finding Theses and Dissertations in the Library

Physical collections.

The RSL owns physical copies of Oxford theses and MSc dissertations in the sciences. These can be obtained by searching the catalogue (using SOLO ) and placing a hold/stack request.

Theses from other Universities may be found by searching services such as Proquest Dissertations .

The Statistics Library also contains a physical collection of theses and dissertations which can be viewed by those with access to the library (please note, access to this library is restricted to members of the statistics department).

Other Relevant Guides

• ORA: Oxford University Research Archive by Jason Partridge Last Updated Apr 10, 2024 2864 views this year
• << Previous: Online resources
• Last Updated: Jun 20, 2024 4:42 PM
• URL: https://libguides.bodleian.ox.ac.uk/statistics

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Oxford Mathematician awarded Future Leaders Fellowship

Oxford Mathematician Balint Koczor is one of 68 of the most promising research leaders who will be funded £104 million to lead research into global issues and to commercialise their innovations in the UK.

Leaving thoughts - likes and dislikes

Our final year students have now left us, in some cases never to return to mathematics, but in others to pursue the subject as researchers, in Oxford and across the globe.

However, before they left we asked some of them them to reflect on what they'd liked and disliked about the mathematics course, which parts of mathematics had really grabbed them, and whether they had any regrets - a fun and instructive exit interview, if you like.

Oxford Mathematicians win Basic and Frontiers of Science Awards

Two Oxford Mathematicians, Andrew Wiles and Marc Lackenby, have received Basic Science and Frontiers of Science awards.

Andrew receives a Basic Science Lifetime Award both for his famous proving of Fermat's Last Theorem and its subsequent influence on the development of the field, and for the inspiration he has provided to many aspiring mathematicians.

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The Wasserstein Distance for Ricci Shrinkers

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Franciele Conrado, Detang Zhou, The Wasserstein Distance for Ricci Shrinkers, International Mathematics Research Notices , Volume 2024, Issue 13, July 2024, Pages 10485–10502, https://doi.org/10.1093/imrn/rnae099

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Let |$(M^{n},g,f)$| be a Ricci shrinker such that |$\text{Ric}_{f}=\frac{1}{2}g$| and the measure induced by the weighted volume element |$(4\pi )^{-\frac{n}{2}}e^{-f}dv_{g}$| is a probability measure. Given a point |$p\in M$|⁠ , we consider two probability measures defined in the tangent space |$T_{p}M$|⁠ , namely the Gaussian measure |$\gamma $| and the measure |$\overline{\nu }$| induced by the exponential map of |$M$| to |$p$|⁠ . In this paper, we prove a result that provides an upper estimate for the Wasserstein distance with respect to the Euclidean metric |$g_{0}$| between the measures |$\overline{\nu }$| and |$\gamma $|⁠ , and which also elucidates the rigidity implications resulting from this estimate.

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Mathematics

• Admissions Requirements
• Fees and Funding
• Studying at Oxford

Course overview

UCAS code: G100 Entrance requirements: A*A*A with the A*s in Maths and Further Maths if taken. Course duration: 3 years (BA); 4 years (MMath)

Subject requirements

Required subjects: Maths Recommended subjects: Further Maths Helpful subjects: Not applicable

Other course requirements

Admissions tests:  MAT Written Work: None

Admissions statistics*

Combined statistics for Mathematics and Mathematics and Statistics:

Interviewed: 30% Successful: 9% Intake: 179 *3-year average 2021-23

Email:  [email protected]

Unistats information for this course can be found at the bottom of the page

Please note that there may be no data available if the number of course participants is very small.

About the course

Mathematicians have always been fascinated by numbers. One of the most famous problems is Fermat’s Last Theorem:

if n≥3, the equation x n +y n =z n  has no solutions with x, y, z all nonzero integers.

An older problem is to show that one cannot construct a line of length  3 √2 with ruler and compass, starting with a unit length.

Often the solution to a problem will require you to think outside its original framing. This is true here, and while you will see the second problem solved in your course, the first is far too deep and was famously solved by Andrew Wiles.

In applied mathematics we use mathematics to explain phenomena that occur in the real world. You can learn how a leopard gets its spots, explore quantum theory and relativity, or study the mathematics of stock markets.

We will encourage you to ask questions and find solutions for yourself. We will begin by teaching you careful definitions so that you can construct theorems and proofs.

Above all, mathematics is a logical subject, and you will need to think mathematically, arguing clearly and concisely as you solve problems. For some of you, this way of thinking or solving problems will be your goal. Others will want to see what else can be discovered. Either way, it is a subject to be enjoyed.

There are two Mathematics degrees, the three-year BA and the four-year MMath. Decisions regarding continuation to the fourth year do not have to be made until the third year.

The first year consists of core courses in pure and applied mathematics (including statistics).

Options start in the second year, with the third and fourth years offering a large variety of courses, including options from outside mathematics.

Unistats information

Discover Uni  course data provides applicants with Unistats statistics about undergraduate life at Oxford for a particular undergraduate course.

Please select 'see course data' to view the full Unistats data for Mathematics.

Please note that there may be no data available if the number of course participants is very small. 

Visit the Studying at Oxford section of this page for a more general insight into what studying here is likely to be like.

A typical week (Years 1 and 2)

• Around ten lectures and two-three tutorials or classes a week
• Additional practicals in computational mathematics (first year) and numerical analysis (if taken)

A typical week (Years 3 and 4)

• Six-ten lectures and two-four classes each week, depending on options taken
• Compulsory dissertation in the fourth year

Tutorials are usually 2-4 students and a tutor. Class sizes may vary depending on the options you choose. There would usually be around 8-12 students though classes for some of the more popular papers may be larger. 

Most tutorials, classes, and lectures are delivered by staff who are tutors in their subject. Many are world-leading experts with years of experience in teaching and research. Some teaching may also be delivered by postgraduate students who are usually studying at doctoral level. 

To find out more about how our teaching year is structured, visit our  Academic Year  page.

Course structure

There are two Mathematics degrees, the three-year BA and the four-year MMath. Decisions regarding continuation to the fourth year do not have to be made until the third year. 

Admission to Mathematics is joint with Mathematics & Statistics, and applicants do not choose between the two degrees until the end of their fourth term at Oxford. At that point, all students declare whether they wish to study Mathematics or study Mathematics & Statistics. Further changes later on may be possible subject to the availability of space on the course and the consent of the college.

The first year consists of core courses in pure and applied mathematics (including statistics). Options start in the second year, with the third and fourth years offering a large variety of courses, including options from outside mathematics.

Years 3 and 4

MMathPhys Year 4

The Physics and Mathematics Departments jointly offer an integrated master’s level course in Mathematical and Theoretical Physics .

Mathematics students are able to apply for transfer to a fourth year studying entirely mathematical and theoretical physics, completing their degree with an MMathPhys.

The course offers research-level training in: Particle physics, Condensed matter physics, Astrophysics, Plasma physics and Continuous media. 

The content and format of this course may change in some circumstances. Read further information about potential course changes .

Academic requirements 

Wherever possible, your grades are considered in the context in which they have been achieved.

Read further information on  how we use contextual data .

The majority of those who read Mathematics will have taken both Mathematics and Further Mathematics at A-level (or the equivalent). However, Further Mathematics at A-level is not essential. It is far more important that you have the drive and desire to understand the subject.

Our courses have limited formal prerequisites, so it is the experience rather than outright knowledge which needs to be made up. If you gain a place under these circumstances, your college will normally recommend suitable extra preparatory reading for the summer before you start your course.

While AEA and STEP papers are not part of our entry requirements, we encourage applicants to take these or similar extension material, if they are available.

If a practical component forms part of any of your science A‐levels used to meet your offer, we expect you to pass it.

If English is not your first language you may also need to meet our English language requirements .

All candidates must follow the application procedure as shown on our  Applying to Oxford  pages.

The following information gives specific details for students applying for this course.

Admissions test

All candidates must take the  Mathematics Admissions Test (MAT)  as part of their application.

Guidance on how to prepare can be found on the  MAT page . 

We are putting in place new arrangements for our admissions tests for 2024 onwards. We will provide more information on these arrangements at the earliest opportunity. 

Written work

You do not need to submit any written work when you apply for this course.

What are tutors looking for?

Tutors are looking for a candidate’s potential to succeed on the course. We recommend that candidates challenge themselves with Mathematics beyond their curriculum, question their own understanding, and take advantage of any available extension material.

Ultimately, we are most interested in a candidate’s potential to think imaginatively, deeply and in a structured manner about the patterns of mathematics. 

Visit the Maths Department website for more detail on the selection criteria for this course.

Quantitative skills are highly valued, and this degree prepares students for employment in a wide variety of occupations in the public and private sectors.

Around 30% of our graduates go on to further study, but for those who go into a profession, typical careers include finance, consultancy and IT.

Nathan, an engineer, says:

‘During my degree I developed my ability to solve complex problems – a fundamental skill set to tackle challenges I encounter on a day-to-day basis as an engineer. The application of mathematics in engineering and manufacturing is ever increasing, meaning there will be more and more opportunities to find interesting roles in which I can apply my skills.’

Note: These annual fees are for full-time students who begin this undergraduate course here in 2024. Course fee information for courses starting in 2025 will be updated in September.

We don't want anyone who has the academic ability to get a place to study here to be held back by their financial circumstances. To meet that aim, Oxford offers one of the most generous financial support packages available for UK students and this may be supplemented by support from your college.

Further details about fee status eligibility can be found on the fee status webpage.

For more information please refer to our  course fees page . Fees will usually increase annually. For details, please see our  guidance on likely increases to fees and charges.

Living costs

Living costs at Oxford might be less than you’d expect, as our  world-class resources and college provision can help keep costs down.

Living costs for the academic year starting in 2024 are estimated to be between £1,345 and £1,955 for each month you are in Oxford. Our academic year is made up of three eight-week terms, so you would not usually need to be in Oxford for much more than six months of the year but may wish to budget over a nine-month period to ensure you also have sufficient funds during the holidays to meet essential costs. For further details please visit our  living costs webpage .

• Financial support

**If you have studied at undergraduate level before and completed your course, you will be classed as an Equivalent or Lower Qualification student (ELQ) and won’t be eligible to receive government or Oxford funding

Fees, Funding and Scholarship search

Additional Fees and Charges Information for Mathematics

There are no compulsory costs for this course beyond the fees shown above and your living costs.

Contextual information

Unistats course data from Discover Uni provides applicants with statistics about a particular undergraduate course at Oxford. For a more holistic insight into what studying your chosen course here is likely to be like, we would encourage you to view the information below as well as to explore our website more widely.

The Oxford tutorial

College tutorials are central to teaching at Oxford. Typically, they take place in your college and are led by your academic tutor(s) who teach as well as do their own research. Students will also receive teaching in a variety of other ways, depending on the course. This will include lectures and classes, and may include laboratory work and fieldwork. However, tutorials offer a level of personalised attention from academic experts unavailable at most universities.

During tutorials (normally lasting an hour), college subject tutors will give you and one or two tutorial partners feedback on prepared work and cover a topic in depth. The other student(s) in your tutorials will be doing the same course as you. Such regular and rigorous academic discussion develops and facilitates learning in a way that isn’t possible through lectures alone. Tutorials also allow for close progress monitoring so tutors can quickly provide additional support if necessary.

Read more about tutorials and an Oxford education

College life

Our colleges are at the heart of Oxford’s reputation as one of the best universities in the world.

• At Oxford, everyone is a member of a college as well as their subject department(s) and the University. Students therefore have both the benefits of belonging to a large, renowned institution and to a small and friendly academic community. Each college or hall is made up of academic and support staff, and students. Colleges provide a safe, supportive environment leaving you free to focus on your studies, enjoy time with friends and make the most of the huge variety of opportunities.
• Porters’ lodge (a staffed entrance and reception)
• Dining hall
• Lending library (often open 24/7 in term time)
• Student accommodation
• Tutors’ teaching rooms
• Chapel and/or music rooms
• Green spaces
• Common room (known as the JCR).
• All first-year students are offered college accommodation either on the main site of their college or in a nearby college annexe. This means that your neighbours will also be ‘freshers’ and new to life at Oxford. This accommodation is guaranteed, so you don’t need to worry about finding somewhere to live after accepting a place here, all of this is organised for you before you arrive.
• All colleges offer at least one further year of accommodation and some offer it for the entire duration of your degree. You may choose to take up the option to live in your college for the whole of your time at Oxford, or you might decide to arrange your own accommodation after your first year – perhaps because you want to live with friends from other colleges.
• While college academic tutors primarily support your academic development, you can also ask their advice on other things. Lots of other college staff including welfare officers help students settle in and are available to offer guidance on practical or health matters. Current students also actively support students in earlier years, sometimes as part of a college ‘family’ or as peer supporters trained by the University’s Counselling Service.

Read more about Oxford colleges and how you choose

FIND OUT MORE

• Visit the department's website

Our 2024 undergraduate open days will be held on 26 and 27 June and 20 September.

Register to find out more about our upcoming open days.

Mathematics Open Days  - 20 April 2024 in Oxford and 27 April 2024 online. 

Mathematical Sciences Research 

Mathematical Sciences at The University of Oxford was listed as one of the best in the UK in the most recent (2021) Research Excellence Framework (REF). 

RELATED PAGES

• Which Oxford colleges offer my course?
• Your academic year

Related courses

• Mathematics and Computer Science
• Mathematics and Philosophy
• Mathematics and Statistics

FEEL INSPIRED?

Why not have a look at the reading lists for prospective Mathematics applicants on the  department's website ?

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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

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Thermoelastic wave scattering by a multi-layered object

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Bibliometrics & citations, view options, recommendations, wave scattering in layered orthotropic media i: a stable pml and a high-accuracy boundary integral equation method.

In anisotropic media, the standard perfectly matched layer (PML) technique suffers irrevocable instability in terminating the unbounded problem domains. It remains an open question whether a stable PML-like absorbing boundary condition exists. For wave ...

Inverse problem for wave propagation in a perturbed layered half-space

This paper is concerned with the inverse medium scattering problem in a perturbed, layered, half-space, which is a problem related to the seismologial investigation of inclusions inside the earth's crust. A wave penetrable object is located in a layer ...

Stretched backgrounds for acoustic scattering models

For the computational solution of the acoustic scattering problem, new domain integral equations are proposed. These domain integral equations describe the acoustic wave propagation in some chosen inhomogeneous background, whereas the influence of the ...

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Published in.

Pergamon Press, Inc.

United States

Publication History

Author tags.

• Thermoelastic wave scattering
• Multi-layered thermoelastic scatterer
• Integral representations
• Far-field patterns
• Uniqueness of solution
• Existence of solution
• Research-article

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Mmsc dissertations (2019-20).

The dissertation will be written during Trinity Term on a topic chosen in consultation with your supervisor.