maths phd ucl

I'm an algebraic geometer in the at UCL.

Research interests

I'm interested in the interactions between geometry, algebra and theoretical physics. More specifically, I work on derived categories of coherent sheaves and their various generalizations. A longer summary of my research, written for the general public, is here .

Publications and preprints (arXiv)

(xix) The McKay correspondence in type D 4 via VGIT   (with Tarig Abdelgadir )

(xviii) Equivariant Fukaya categories at singular values   (with Yankı Lekili )

(xvii) Serre functors of residual categories via hybrid models   (with Federico Barbacovi ) Bull. London Math. Soc. 55 (2023), no. 5, 2505-2514.

(xvi) Line fields on punctured surfaces and twisted derived categories

(xv) Discriminants and semi-orthogonal decompositions   (with Alex Kite ) Comm. Math. Phys. 390 (2022), 907-931

(xiv) A non-commutative Bertini theorem   (with Jørgen Rennemo and Michel Van den Bergh ) J. Noncommutative Geometry 13 (2019), no. 2, 609-616.

(xiii) Hori-mological projective duality   (with Jørgen Rennemo) Duke Math. J. 168 (2019), no. 11, 2127-2205. Some supporting calculations are in this addendum .

(xii) All autoequivalences are spherical twists Int. Math. Res. Not. 2018 (2018), no. 10, 3137-3154.

(xi) A new 5-fold flop and derived equivalence Bull. London Math. Soc 48 (2016), no. 3, 533-538.

(x) Quintic threefolds and Fano elevenfolds   (with Richard Thomas ) J. Reine Angew. Math. (Crelle). (2018), 743, 245-259.

(ix) K-theoretic and categorical properties of toric Deligne-Mumford stacks    (with Tom Coates , Hiroshi Iritani and Yunfeng Jiang ) Pure Appl. Math. Q. 11 (2015) no. 2, 239-266.

(viii) The Pfaffian-Grassmannian equivalence revisited   (with Nick Addington and Will Donovan ) Alg. Geom. 2 (2015), no. 3, 332-364. Here's a video of a lecture I gave at the Newton Institute on this topic.

(vii) Mixed braid group actions from deformations of surface singularities   (with Will Donovan) Comm. Math. Phys. 335 (2015), no. 1, 497-543.

(vi) D-brane probes, branched double covers, and non-commutative resolutions   (with Nick Addington and Eric Sharpe ) Adv. Theor. Math. Phys. 18 (2014), no. 6, 1369-1436.

(v) Window shifts, flop equivalences and Grassmannian twists   (with Will Donovan) Compositio Math. 150 (2014), no. 6, 942-978.

(iv) The closed state space of affine Landau-Ginzburg B-models J. Noncommutative Geometry. 7 (2013), no. 3, 857-883.

(iii) Equivalences between GIT quotients of Landau-Ginzburg B-models Comm. Math. Phys. 304 (2011), no. 2, 411-432.

(ii) Gauge theory in higher dimensions, II   (with Simon Donaldson ) Surveys in Differential Geometry 16 (2011), 1-14.

(i) The A-infinity deformation theory of a point and the derived categories of local Calabi-Yaus J. Algebra 320 (2008), no. 8, 3232-3268. This is essentially my PhD thesis , my advisor was Richard Thomas. The thesis version has an extra appendix on A-infinity algebras with some pretty pictures.

Lecture Notes

Manifolds These are the complete lecture notes for a 4th-year undergraduate/MSc level course on differential geometry, which I taught at Imperial College for three years. They cover the foundations of manifolds, tangent vectors, and differential forms, up to Stokes' Theorem. Here are the exercises .

Group Representation Theory Complete notes for a 3rd-year undergraduate course on representation theory, which I also taught for three years at Imperial. They cover the basics of representations of finite groups over the complex numbers (Maschke's Theorem, Schur's Lemma, character tables) and finish with the classification of semi-simple algebras. Here are the exercises .

Graduate students

Aporva Varshney

Michela Barbieri

Edwin Hollands

Federico Barbacovi (graduated 2023) Thesis: Flop-flop autoequivalences and compositions of spherical twists .

Bradley Doyle (graduated 2021) Thesis: Homological Projective Duality for the Plücker embedding of the Grassmannian .

Alex Kite (graduated 2019) Thesis: Fundamental group actions on derived categories , parts of which became paper (xv) above and also arXiv:1711.08940 .

If you're interested in doing a PhD with me you should apply to the LSGNT . Applications are normally open in November/December each year.

Miscellaneous

The universal closed state space of an open TFT These are some short notes on a particular result in 2-dimensional topological field theory.

The 7 Colour Theorem I gave a talk at the KCL Maths School and one of the students made these beautiful notes.

The Incredible Predictive Power of String Theory A pop-maths article I wrote for the De Morgan newsletter.

LSGNT Topics in Geometry

The Geometry of Gauged Linear Sigma Models A workshop I co-organised in June 2022 at the University of Birmingham.

Imperial College London Imperial College London

Latest news.

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Find out more about doctoral study in the Department of Mathematics including entry requirements, funding, how to apply and out areas of research.

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Information for current doctoral students in the Department of Mathematics. Prospective students are also welcome to view these pages.

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The Faculty of Mathematics offers three doctoral (PhD) and one MPhil research programmes.

Select a course below to visit the University’s Course Directory where you can read about the structure of the programmes, fees and maintenance costs, entry requirements and key deadlines.

Research Areas and Potential Supervisors

Determining whether your interests and ambitions align with our research and expertise is a vital part of the application and admissions process. When we receive your formal application, we will consider the information you provide on your research interests carefully, alongside other factors such as your academic suitability and potential, how you compare to other applicants in the field, and whether we have a suitable academic supervisor with the capacity to take on new students.

We are committed to widening participation in mathematical research at Cambridge. We welcome and encourage applications from people from groups underrepresented in postgraduate study.

Before making an application to study with us we recommend you:

• Investigate our areas of research and consider how they fit with your interests and ambitions.

A list of broad research areas is provided below, together with links to further information. Your interests may span more than one area. On your application form you will be asked to indicate at least one broad area of interest. This is to help us direct your application to the most suitable group of people to review it.

• Identify 2 or 3 appropriate supervisor(s) with whom you might work.

The information linked below will take you to lists of supervisors working in each broad research area, with an indication of their availability. You are encouraged to make informal contact with potential supervisors prior to making an application. Initial contact should be made by email. In your email we recommend you provide a concise explanation of your areas of interest, how your research interests align with the supervisor(s) research, and that you highlight any relevant work you have done in this area. We recommend that you attach an up-to-date CV. The purpose of this contact is to enquire on supervisor capacity and willingness to supervise, and to see if there is a good fit between your interests and theirs.

If you haven’t had a response to an informal enquiry, you are still welcome to apply and list the individual concerned on your application form, although you may also wish to consider other options.

• Give some thought to your intended research and why you want to study with us.

On your application form you will be asked to submit a short research summary, details of your research experience and your reasons for applying to undertake a PhD/MPhil with us. Whilst you are not expected to submit a detailed research proposal at any stage of the process, we do want to know that you have considered the areas of research that you wish to pursue.

Research areas

Click on a research area to find out more about available supervisors and their research:

Please note that a  large majority of the successful applicants for PhD studentships with  the High Energy Physics, and General Relativity & Cosmology (GR) groups   will have taken Part III of the Mathematical Tripos.

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Each Department works hard to secure funding for as many offer holders as possible, either from within its own funds, in collaboration with funding partners, or via the University Postgraduate Funding Competition. However, funding is not guaranteed via these routes, and you should investigate funding opportunities early in the process to be sure that you can meet advertised deadlines.

All application deadlines are 23:59pm (midnight) UK time on the stated date. So that your application can be given full consideration please apply by the following deadlines:

Note for PhD applicants:

We will accept applications for an October start up until the general University deadline in May, but your chances of obtaining funding are significantly reduced. In addition, space limitations may mean that late applications cannot be considered (i.e., the most appropriate supervisor may already have committed to taking other students).

Only in exceptional circumstances will we consider admission to a later start date in the academic year (i.e., January or April). If you intend to apply for a later start date please contact us at [email protected] so we can advise you on the feasibility of your plan.

Note for MPhil applicants:

We will accept applications until the general University deadline in February, but you will not be considered for funding. In addition, space limitations may mean that late applications cannot be considered (i.e., the most appropriate supervisor may already have committed to taking other students).

Most interviews are expected to take place in the second half of January.

The purpose of the interview is to try to ascertain the extent of the applicant's relevant knowledge and experience, and to gauge whether their interests and abilities align with the research of the potential supervisor and/or research group. It will most likely consist of a discussion of your background and motivations for applying to the course, as well as some questions on relevant topics.

Not all applicants will be selected for interview.

If you are selected for interview, you will be contacted by email at the address you provided on your application. The email should confirm:

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• who you will be meeting.

Prior to interview you may declare a disability, serious health problem or caring responsibility which may require reasonable adjustments for the interview to be made.

Due to interviewer availability and the tight admissions timetable, we can usually only rearrange the time and date of your interview under exceptional circumstances.

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Both DAMTP and DPMMS make most of their PhD/MPhil admissions decisions for October entry in January and early February, and you should not expect to receive a decision on your application before mid-February (even if you apply much earlier). We expect to have made decisions on all applications by mid-July. The Department makes every effort to take decisions on applications at the earliest opportunity. In some cases, however, it may take some time for a decision to be made. Applications may need to be viewed by several potential supervisors before a final decision can be reached.

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We do not provide formal feedback to applicants who are unsuccessful at either the application or interview stage.

Take a look at our frequently asked questions for PhD applicants.

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PhD position at UCL : Mathematics of Deep Learning

UK STUDENTS ONLY

The Department of Computer Science at University College London (UCL) is inviting applications for a fully funded 4-year PhD studentship (UK students only), under the supervision of Prof. Simon Arridge and Prof. Bangti Jin, supported by earmarked funding for The Mathematics for Deep Learning programme grant. The programme grant is a five year, EPSRC funded project between UCL, Cambridge, and University of Bath that aims to develop significant new mathematical, statistical and computational methods for understanding and progressing Deep Learning, with applications in medical imaging, inverse problems, scientific computing and meteorology.

The position is an opportunity to conduct cutting-edge research at the intersection of machine learning, scientific computing and inverse problems. The student will develop innovative mathematical and algorithmic techniques inspired by deep learning and training paradigms for solving forward and inverse problems modelled by partial differential equations at large scales. The PhD project will involve extensive implementation and testing for applications addressed by the programme consortium, and will work closely with other academic and industrial partners to ensure that translation to real applications will be realised.

The link to FindAPhD.com advert is here :

PhD position in Mathematics for Deep Learning at University College London on FindAPhD.com

The deadline for application is  June 30, 2022 . For enquiries about the project and its application please contact Professor Simon Arridge ( @email ) or Professor Bangti Jin ( @email ).

graduate admissions

Frequently Asked Questions

More information for international students

Dear Prospective Applicant,

Thank you for your interest in graduate studies in the Department of Mathematics at UCLA. Applications are accepted for Fall quarter matriculation only. The application deadline is December 13. Application review process begins in late December; to ensure full consideration, applications should be complete, with all supporting material submitted, by that time.  Please note that admissions to the M.A. and M.A.T. programs have been suspended indefinitely, so if you’re interested in doing graduate work in our department you must apply for admission to the Ph.D. program.

You must submit the UCLA Graduate Admissions Application (see  http://www.gdnet.ucla.edu/gasaa/admissions/applicat.htm ). You also must submit the Application Fee for the UCLA Graduate Admissions Application. Instructions for this payment are given online. As part of the Graduate Division Application, you will be required to submit:

• Transcripts (scans and originals)
• Statement of Purpose
• Letters of Recommendation (see online UCLA application)
• List of Mathematics Courses taken
• Applicants whose native language is not English must take the TOEFL/IELTS exam and submit their TOEFL/IELTS score.

Each applicant must select an area (pure or applied) and a field of interest as part of the application. The two areas have slightly different course requirements, but both allow for flexibility to take many combinations of courses and qualifying exams throughout the department. Students can ask to switch areas or fields after starting the program if their interests change.

Transcripts (and TOEFL/IELTS scores, if required) should be mailed to:

Graduate Advisor UCLA Mathematics Department 520 Portola Plaza Los Angeles, CA 90095-1555

Admissions Requirements

The minimum Department requirements for applicants, in addition to the minimum University requirements, are:

*Applicants for the PhD program  must have a 3.5 GPA in upper division math courses.

Prospective students do not need to have an undergraduate mathematics major, but must complete at least 12-quarter, or 8-semester courses in substantial upper division mathematics.  Comparable Upper Division Courses at UCLA:

• Algebra 110AB : Ring of integers, integral domains, fields, polynomial domains, unique factorization. Groups, structure of finite groups.
• Linear Algebra 115AH : Abstract vector spaces, linear transformations, and matrices; determinants; inner product spaces; eigenvector theory.
• Analysis 131ABH : Rigorous introduction to foundations of real analysis; real numbers, point set topology in Euclidean space, functions, continuity. Derivatives, Riemann integral, sequences and series of functions, power series, Fourier series.
• Differential Geometry 120A : Curves in 3-space, Frenet formulas, surfaces in 3-space, normal curvature. Gaussian curvature. Congruence of curves and surfaces. Intrinsic geometry of surfaces, isometrics, geodesics, Gauss/Bonnet theorem.
• Ordinary Differential Equations 135AB : Systems of differential equations; linear systems with constant coefficients, analytic coefficients, periodic coefficients, and linear systems with regular singular points; existence and uniqueness results; linear boundary and eigenvalue problems; two-dimensional autonomous systems, phase/plane analysis, stability and asymptotic behavior of solutions.
• Applied Numerical Methods 151AB : Introduction to numerical methods with emphasis on algorithms, analysis of algorithms, and computer implementation issues. Solution of non-linear equations, numerical differentiation, integration, and interpolation. Numerical solution of differential equations.
• Three letters of recommendation with preferably all, but always at least 2, from mathematicians who are familiar with the student’s work.

The GRE Math Subject test . 

A General Recommendation:

The UCLA Mathematics Department encourages students to change their educational institution between their Bachelor and PhD degrees to broaden their horizons. In particular, no admissions advantage is given to UCLA undergraduates.

international students

Dear Prospective Applicant,

Thank you for your interest in graduate studies in the Department of Mathematics at UCLA. Applications are accepted for the Fall quarter only. The application deadline is December 13. The application review process begins late December; please ensure that all supporting documents, including reference letters and test scores, are received by that time. Please read all the information very carefully. In addition to the requirements below, return to Graduate Admissions for complete details.

Please note: THE UCLA Graduate Admissions Application fee is MANDATORY!! If the application fee is not paid, the UCLA Admissions Office cannot process the application.

Please note: DO NOT send publications.

Financial Support: International students are supported through a mix of fellowships, research assistantships, and teaching assistantships. Support is normally guaranteed for four years. A 5th year of support is usually provided if the student is in good standing and advanced to candidacy. Guaranteed support normally provides income that is enough for living expenses (exact amounts vary from year to year), and in addition provides full registration fees, health insurance, and non-resident tuition. All applicants are automatically considered for this financial support; no separate application is required. Students who have access to other means of support, for example scholarships from their own governments or international organizations, should apply for those separately.

Students whose first language is not English must pass UCLA’s “Test of Oral Proficiency” (TOP) before they can become teaching assistants at UCLA. Offers of support for international students are conditioned on passing this exam within the first year.

Required Tests

• GRE: Math Subject Test
• TOEFL/IELTS: Your TOEFL score on the paper and pencil test must be at least 560 (600 is recommended) or at least 87 on the internet-based test. Your IELTS Academic overall band score should be at least 7.0. 7.0 is the  minimum  required.
• TOP (Test of Oral Proficiency):  Minimum score of 6.4 is a provisional pass permitting the student to TA.

frequently asked questions

Thank you for your interest in graduate studies in the Department of Mathematics at UCLA. Applications are accepted for the fall quarter only. The application deadline is December 13. The application review process begins late December; please ensure that all supporting documents, including reference letters and test scores, are received by that time. Please return to Graduate Admissions for more detailed information or email  [email protected]  for very specific questions.

The on-line University application must be submitted by December 13. We will accept scores, letters and other materials after the December 13th deadline, but your application package will be considered incomplete and will not be reviewed if we do not have all materials by the end of the second week in January.

Not really.  Three letters are sufficient for the review committee to get a sense of your abilities and strengths. 

Either way is acceptable as long as they are officially sealed when we receive them.

International applicants that have received a Bachelor’s degree or higher from a university located in the United States, or from another country in which English is both the spoken language and the medium of instruction are exempted from the TOEFL.  Please include this information in your application package.

It is University policy that you score at least a 560 on the pencil and paper test, 220 on the electronic test, or 87 on the iBT.

Students who wish to apply for admission to our graduate program for the 2024-2025 academic year are to submit a GRE Math subject test score report as part of their application package. However, students are NOT required to submit the GRE General test score.

Please note that admissions to the M.A. and M.A.T. programs have been suspended until further notice. 

Be aware that when we talk about a successful applicant, numbers are only one part of the total package. That being said; the minimum GPA is 3.5 for a PhD and 3.2 for a Master’s, and although there is no minimum GRE, you must keep in mind that admission is very competitive and the higher your score, the better.  On the average, those we offer admission to have GRE subject scores in or above the 80th percentile. Our GPA range is from about 3.6 to 4.0, though again there can be exceptions. Keep in mind that we look at the entire package and although we have a minimum, the average is higher. Also, there is no score at any level, which insures admission.

The Statement is your opportunity to explain your reasons for pursuing graduate study in mathematics, and to let us get a sense of who you are.  You may mention any relevant facts about your education or experience with mathematics that are not apparent in the other materials you submit.  You might want to note what kind of mathematics you find interesting and wish to pursue in graduate school, and what you plan to do after obtaining a Ph.D. It may include information about your background, interests, or career goals, and how UCLA might help you meet those career and educational goals.  There is no specific length, but one or two pages are typical.

Your application will be accepted if we receive your scores by the end of the first week in January.

Admission decisions are based on an applicant’s entire package.  Weaknesses in one area may be offset by strengths in another. The committee weighs many factors in addition to GPAs.  These may include the breadth of your undergraduate courses, your letters of recommendation, statement of purpose and GRE subject score.

You may apply for admission to our program before your actual degree date as long as you have your Bachelor degree by the fall enrollment date.

The UCLA code is 4837 and the Mathematics department code is 0703.

One of the most important things you can do is to get to know your professors. You want to have letters of recommendation that tell us knowledgeably and personally about your qualifications and abilities. Your letters of recommendation should attest to the fact that you have the potential and mathematical background to be a research mathematician. It is already expected that all applicants to UCLA have a solid preparation in undergraduate math, with strong grades and GRE scores, that allows them at a minimum to pass our Basic Qualifying Exam in their first year. What we would also like to see in addition is that you have potential for advanced mathematical research. This can be demonstrated through courses that are heavy in proof oriented math, honors and graduate courses, a senior research project, a senior thesis, or a summer REU program.

You will receive an official letter by the first week of March.

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UCLA Graduate Programs

Graduate Program: Mathematics

UCLA's Graduate Program in Mathematics offers the following degree(s):

Master of Arts (M.A.)

Master of Arts in Teaching (M.A.T.)

Doctor of Philosophy (Ph.D.)

With questions not answered here or on the program’s site (above), please contact the program directly.

Mathematics Graduate Program at UCLA 6356 Math Sciences Box 951555 Los Angeles, CA 90095-1555

Visit the Mathematics’s faculty roster

COURSE DESCRIPTIONS

Visit the registrar's site for the Mathematics’s course descriptions

• Admission Requirements
• Program Statistics

(310) 825-4971

[email protected]

MAJOR CODE: MATHEMATICS

Alternatively, use our A–Z index

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PhD Pure Mathematics / Overview

Year of entry: 2024

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The standard academic entry requirement for this PhD is an upper second-class (2:1) honours degree in a discipline directly relevant to the PhD (or international equivalent) OR any upper-second class (2:1) honours degree and a Master’s degree at merit in a discipline directly relevant to the PhD (or international equivalent).

Other combinations of qualifications and research or work experience may also be considered. Please contact the admissions team to check.

Full entry requirements

Apply online

In your application you’ll need to include:

• The name of this programme
• Your research project title (i.e. the advertised project name or proposed project name) or area of research
• Your proposed supervisor’s name
• If you already have funding or you wish to be considered for any of the available funding
• A supporting statement (see 'Advice to Applicants for what to include)
• Details of your previous university level study
• Names and contact details of your two referees.

Programme options

Programme description

The The Department of Mathematics has an outstanding research reputation. The research facilities include one of the finest libraries in the country, the John Rylands University Library. This library has recently made a very large commitment of resources to providing comprehensive online facilities for the free use of the University's research community. Postgraduate students in the Department benefit from direct access to all the Library electronic resources from their offices.

Many research seminars are held in the Department on a weekly basis and allow staff and research students to stay in touch with the latest developments in their fields. The Department is one of the lead partners in the MAGIC project and research students can attend any of the postgraduate courses offered by the MAGIC consortium.

For entry in the academic year beginning September 2024, the tuition fees are as follows:

• PhD (full-time) UK students (per annum): Band A £4,786; Band B £7,000; Band C £10,000; Band D £14,500; Band E £24,500 International, including EU, students (per annum): Band A £28,000; Band B £30,000; Band C £35,500; Band D £43,000; Band E £57,000
• PhD (part-time) UK students (per annum): Band A £2393; Band B £3,500; Band C £5,000; Band D £7,250; Band E 12,250 International, including EU, students (per annum): Band A £14,000; Band B £15,000; Band C £17,750; Band D £21,500; Band E £28,500

Further information for EU students can be found on our dedicated EU page.

The programme fee will vary depending on the cost of running the project. Fees quoted are fully inclusive and, therefore, you will not be required to pay any additional bench fees or administration costs.

All fees for entry will be subject to yearly review and incremental rises per annum are also likely over the duration of the course for Home students (fees are typically fixed for International students, for the course duration at the year of entry). For general fees information please visit the postgraduate fees page .

Always contact the Admissions team if you are unsure which fees apply to your project.

Scholarships/sponsorships

There are a range of scholarships, studentships and awards at university, faculty and department level to support both UK and overseas postgraduate researchers.

To be considered for many of our scholarships, you’ll need to be nominated by your proposed supervisor. Therefore, we’d highly recommend you discuss potential sources of funding with your supervisor first, so they can advise on your suitability and make sure you meet nomination deadlines.

For more information about our scholarships, visit our funding page or use our funding database to search for scholarships, studentships and awards you may be eligible for.

Contact details

Our internationally-renowned expertise across the School of Natural Sciences informs research led teaching with strong collaboration across disciplines, unlocking new and exciting fields and translating science into reality.  Our multidisciplinary learning and research activities advance the boundaries of science for the wider benefit of society, inspiring students to promote positive change through educating future leaders in the true fundamentals of science. Find out more about Science and Engineering at Manchester .

Programmes in related subject areas

Use the links below to view lists of programmes in related subject areas.

• Mathematics

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You can find regulations and policies relating to student life at The University of Manchester, including our Degree Regulations and Complaints Procedure, on our regulations website .

UCL Hebrew & Jewish Studies

Call for Papers: Limmud PhD Programme

23 August 2024

Candidates should submit a 200-word summary of their PhD research by midnight on Sunday 15 September 2024.

Be a part of Limmud Festival’s inaugural PhD programme, created to build a network of emerging academics in the field of Jewish studies across the UK! For the first time, Limmud will award day places for up to ten PhD students working in Jewish studies (including but not limited to history, literature, art, Torah, politics, sociology, anthropology) to attend Festival 2024 from 22 to 25 December 2024 in Birmingham 

What is it?

Selected candidates will be required to contribute two sessions, which will be highlighted in the Festival programme and given personalised marketing to advertise our cohort of PhD researchers:

Session 1: A presentation on their field of research

This could be an introduction to the topic, part of a thesis chapter, a deep dive into a source of their choice, or something discovered in a rabbit hole! Limmud is all about learning and we’re excited to hear all about new research in Jewish studies in the UK. This also acts as an opportunity for PhD researchers to present their work to a different kind of audience, beyond an academic conference, and build experience in public outreach and engagement.

Session 2: Collaborative session

Candidates may suggest an academic they would like to invite to Festival (although this cannot be guaranteed) or choose a speaker already part of our Festival 2024 programme (Limmud will share details to support this). Collaborative sessions may be a co-written presentation, an ‘in conversation’ style related to a recent publication, a roundtable, or any other creative ideas the candidate might have! We are keen to promote mentoring opportunities between PhD researchers and more senior academics in Jewish studies, facilitating feedback and dialogue across lines of experience, and demystifying academic hierarchies. 

How to Apply

Candidates should submit a 200-word summary of their PhD research, as well as suggestions for the two sessions they might offer (thesis presentation and collaborative session, 100 words each) via  the online form  by midnight on Sunday 15 September 2024. 

Limmud Festival FAQs:

What is limmud .

Limmud was founded over forty years ago as a UK Jewish educators’ conference. It has become an inspirational, volunteer-led learning organisation which seeks to create unrivalled opportunities for teaching, learning, networking, innovating, and connecting. To make Festival happen, over 100 volunteers and a small full-time office staff put Festival together.  

Limmud events happen globally, from Belarus to Belgium, New York to the Negev and Turkey to Toronto. Limmud Festival UK is our flagship event, attracting over 2,700 participants from all ages and backgrounds. You can read more about our mission and values at  www.limmud.org . 

When will Limmud Festival take place? 

Limmud Festival will take place from 22nd to 25th December 2024, with a pre-Festival Shabbat (attended by over 600 people) on 20th to 21st December.  

Will there be an option to attend and present online? 

Unfortunately, not. We intend for the whole of Festival to be in person this year and as such this invitation is to present in-person only. 

What am I expected to offer at Festival? 

As part of the PhD programme, selected candidates will offer two sessions.  To facilitate this, candidates will be offered a day pass to Festival 2024 for free, which includes an entire day of programming and Kosher meals. 

What are the arrangements for presenters at Festival? 

As a volunteer-run charity with a mission to enable learning for as many people as possible, we cannot offer direct payment for your sessions beyond the discount outlined above, but we hope that there is tremendous reward in the experience of participating at Limmud Festival. In case you haven’t done so before,  here is a little flavour  of what it is like. 

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Research degrees

Our internationally renowned department fosters an innovative and intimate research environment. we welcome phd students and post-doctoral fellows from around the world working on a broad range of topics. .

Our researchers also work in interdisciplinary research collaborations within King’s including with computer scientists, physicists and researchers in the Faculty of Life Sciences and Medicine . They also work externally with industrial partners such as EDF research, the Pensions Policy Institute and Unilever, as well as with the Francis Crick Institute. Postgraduate research students can study for their degree in any of the  Department's research themes .

Applied mathematics research: disordered systems/financial mathematics/probability.

Applied Mathematics Research: Disorder Systems/Financial Mathematics/Probability MPhil / PhD from the Department of Mathematics at King's College London

View course

Applied Mathematics Research: Theoretical Physics

Applied Mathematics Research: Theoretical Physics MPhil / PhD from the Department of Mathematics at King's College London.The Theoretical Physics Group in the Department of Mathematics is at the international forefront of research and offers PhD's in string and M-theory, black holes, conformal field theory, supersymmetry, integrability, and other fundamental branches of modern theoretical physics.

Pure Mathematics Research

Pure Mathematics MPhil / PhD from the Department of Mathematics at King's College London.

Statistics Research

Statistics PhD from the Department of Mathematics at King's College London.

Applying for a PhD

The Department of Mathematics welcomes applications and research proposals in any areas of interest in the Department of Mathematics, which can be explored through the  Department’s research groups . Prospective students are also encouraged to explore potential supervisors and their research areas. 

Applicants should hold, or expect to gain, a first or upper second class degree in mathematics or a relevant related subject, and be exceptionally motivated for research.

We offer PhD projects under a range of different research themes for the majority of our postgraduate degrees. Applicants can explore the various projects available and apply for them. However, the list is not exhaustive and potential applicants can alternatively identify and contact appropriate potential supervisors to outline their academic background and research interests or to propose their own PhD project ideas.

There are a number of funding schemes available. Some cover both stipend (to cover living costs) and tuition fees, while others may cover fees only. The main funding opportunities for the Department are listed below. More options are listed on the King's  postgraduate research funding pages  or FindAPhD.com .

We suggest prospective students apply by 1 February to ensure full consideration for our available funding opportunities. All scholarships, bursaries or other awards are offered on a competitive basis. Some King's funding opportunities may have earlier deadlines, such as the King's-China Scholarship programme.

• Faculty studentships

The Faculty of Natural, Mathematical & Engineering Sciences offers studentships in Mathematics, funded for 3.5 years, with a bursary starting at the standard research council rate, and which will cover the full cost of Home and overseas tuition fees.

• ESPRC Doctoral Training Grant and EPSRC Mathematical Sciences Doctoral Training Partnership Studentships

All eligible PhD applicants are automatically considered for these awards when they apply to the Department, no separate application form is required. All academic staff working in the mathematical sciences are eligible to supervise these projects; preference might be given to supervisors who are early-career researchers.

• Science & Technology Facilities Council 

All applicants to the PhD in Theoretical Physics are automatically considered for these awards when they apply to the Department of Mathematics, no separate application form is required. Eligibility criteria may apply.

• London School of Geometry and Number Theory 

This Centre for Doctoral Training has a separate application process, and is run jointly by King's, UCL and Imperial College London. Students can also apply to the Pure Mathematics PhD programme at King's, find out more .

Centre for Doctoral Training in Digital Twins for Healthcare

DT4Health is an innovative PhD programme that cuts across the Health Faculties and the Faculty of Natural, Mathematical & Engineering Sciences. The programme offers postgraduate researchers fully funded positions with the aim of training the next generation of leaders in healthcare technology to improve healthcare systems using the cutting-edge framework of Digital Twins. Applicants can  find out more on the website . 

• Centre for Doctoral Training on Multiscale Models for Life

This cross disciplinary CDT based in the Faculty of Dentistry, Oral & Craniofacial Science offers support for 3.5 years including a stipend at the current UKRI rate, home rate tuition fees, research expenses and support for training and career enhancement.

It is open to those with an interest and aptitude for interdisciplinary research with a background in life sciences and physics, chemistry, maths, computation or engineering. 

• King's-China Scholarship Council

King's-China Scholarship Council PhD Scholarship programme (K-CSC) is open to students from China. Details of this programme can be found on our  website .

For further information on postgraduate research funding and scholarships please visit the  Centre for Doctoral Studies pages .

Applications should be be submitted via the  King’s College London online application portal.  When applying, please select the degree programme you are applying to and mention your intended Supervisor and their project in the 'Research Proposal' area.

Any written submissions required by the supervisor/department/research group should be submitted in one document. If you are applying to a specific research group, or if your supervisor belongs to a specific research group, you must include the name of the research group at the top of this document.

• Find out more
• London School of Geometry & Number Theory

This four-year PhD programme comprises a largely taught first year followed by a three-year research project, with approximately 50 supervisors available across Imperial College London, King's College London & University College London.

Centres for Doctoral Training

DT4Health is an innovative PhD program located at King's, in the heart of London.

Multiscale Models for Life (MM4L) Centre for Doctoral Training

Training future research leaders adept at bridging the gap between in vivo life sciences and…

NMES Graduate School

The Graduate School in the Faculty of Natural, Mathematical & Engineering Sciences is home to all PhD students studying in the Faculty. From training and funding opportunities, to career development and campus events, it offers a range of services to support the needs and interests of our graduate students, supporting them to achieve their academic and professional goals.

Courses for PhD students

We participate in the London Graduate School in Mathematical Finance, a consortium of the mathematical finance groups of Birkbeck, Brunel, Cass Business School, Imperial, King's, LSE and UCL. It provides a programme of advanced courses in mathematical finance. We also participate in the London Taught Course Centre which offers advanced courses for PhD students in mathematics, including several courses that are relevant for research in analysis and statistics.

• London Taught Course Centre

Discover our research

Discover our research groups in the Department of Mathematics.

Net Zero Centre

Fostering an interdisciplinary environment for research in net zero.

Centre for the Physical Science of Life

Transforming our understanding of life through the innovative power of physical science

Find out more about the Department

Find out more about the Department of Mathematics.

Discover our research in the Department of Mathematics.

Meet the Department of Mathematics, King's College London.

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Mathematics MPhil, PhD

In Pure Mathematics our two main fields are functional analysis and geometric algebra. In Applied Mathematics our research is predominantly in fluid mechanics, astrophysics and cosmology.

You are currently viewing course information for entry year:

Start date(s):

• September 2024
• January 2025

We invite MPhil and PhD proposals in any of our research areas.

As a research postgraduate in the School of Mathematics, Statistics and Physics you'll work under the supervision of an expert in your chosen field.

Within each field of Pure Mathematics there are multiple subgroups. In analysis, one subgroup concentrates on operator theory and function theory, the other on Banach algebras, cohomology and modules. In algebra there are subgroups devoted to the study of infinite groups, and finite classical groups and their geometries.

Our Applied Mathematics staff have research interests in:

• astrophysical and geophysical fluid dynamics
• quantum matter
• mathematical biology and archaeology
• cosmology and quantum gravity

Lists of example projects in Pure and Applied Mathematics are also available.

We run research seminars in algebra and geometries, analysis, and applied mathematics . Our postgraduate students also get the opportunity to lead seminars.

Specialist courses are offered through the MAGIC distance learning consortium , sponsored in part by the Engineering and Physical Sciences Research Council (EPSRC).

We're part of:

• the North British Functional Analysis Seminar
• the North British Geometric Group Theory Seminar
• Algebra and Representation Theory in the North, funded by the London Mathematical Society and the Edinburgh Mathematical Society
• the Joint Quantum Centre with Durham University

Important information

We've highlighted important information about your course. Please take note of any deadlines.

Please rest assured we make all reasonable efforts to provide you with the programmes, services and facilities described. However, it may be necessary to make changes due to significant disruption, for example in response to Covid-19.

View our  Academic experience page , which gives information about your Newcastle University study experience for the academic year 2024-25.

See our  terms and conditions and student complaints information , which gives details of circumstances that may lead to changes to programmes, modules or University services.

Related courses

Qualifications explained.

Find out about the different qualification options for this course.

An MPhil is available in all subject areas. You receive research training and undertake original research leading to the completion of a 40,000 - 50,000 word thesis.

Find out about different types of postgraduate qualifications

A PhD is a doctorate or doctoral award. It involves original research that should make a significant contribution to the knowledge of a specific subject. To complete the PhD you will produce a substantial piece of work (80,000 – 100,000 words) in the form of a supervised thesis. A PhD usually takes three years full time.

How you'll learn

As a Mathematics PhD or MPhil student you'll be supported by your supervision team. You'll also go through a research training analysis to identify any skills that you need to develop.

Depending on your modules, you'll be assessed through a combination of:

We offer a wide range of projects for the thesis. These will be provided by our academics. You can also propose your own topic.

Our mission is to help you:

• stay healthy, positive and feeling well
• overcome any challenges you may face during your degree – academic or personal
• get the most out of your postgraduate research experience
• carry out admin and activities essential to progressing through your degree
• understand postgraduate research processes, standards and rules

We can offer you tailored wellbeing support, courses and activities.

You can also access a broad range of workshops covering:

• research and professional skills
• careers support
• health and safety
• public engagement
• academic development

Find out more about our postgraduate research student support

Your development

Faculty of science, agriculture and engineering (sage) researcher development programme .

Each faculty offers a researcher development programme for its postgraduate research students. We have designed your programme to help you:

• perform better as a researcher
• boost your career prospects
• broaden your impact

You'll build your transferable skills and increase your confidence. You'll do this through workshops and activities. You’ll cover:

• techniques for effective research
• methods for better collaborative working
• essential professional standards and requirements

Your programme is flexible. You can adapt it to meet your changing needs as you progress through your doctorate.

Doctoral training and partnerships

There are opportunities to undertake your PhD at Newcastle within:

• a Centre for Doctoral Training (CDT)
• a Doctoral Training Partnership (DTP)

Being part of a CDT or DTP has many benefits. They combine research expertise and training of many leading universities and academic schools. You’ll study alongside a cohort of interdisciplinary PhD students.

PhDs are usually funded. All opportunities available are in the fees and funding section of each PhD course page. The following centres/partnerships may have PhD opportunities available in your subject area:

• Centre for Doctoral Training in Cloud Computing for Big Data
• EPSRC Aura Centre for Doctoral Training in Offshore Wind Energy and the Environment
• Discovery Medicine North - MRC DiMeN Doctoral Training Partnership
• Sustainable Electric Propulsion Centre for Doctoral Training

Your future

Our careers service.

Our award-winning Careers Service is one of the largest and best in the country, and we have strong links with employers. We provide an extensive range of opportunities to all students through our ncl+ initiative.

Visit our Careers Service website

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All professional accreditations are reviewed regularly by their professional body

From 1 January 2021 there is an update to the way professional qualifications are recognised by countries outside of the UK

Check the government’s website for more information .

Fees and funding

Tuition fees for 2024 entry (per year), home fees for research degree students.

For 2024-25 entry, we have aligned our standard Home research fees with those set by UK Research and Innovation (UKRI) . The standard fee was confirmed in Spring 2024 by UKRI.

For 2025-26 entry, we will be aligning our standard  Home research fees  with those set by  UK Research and Innovation (UKRI) . The standard fee will be confirmed in Spring 2025 by UKRI.

As a general principle, you should expect the tuition fee to increase in each subsequent academic year of your course, subject to government regulations on fee increases and in line with inflation.

Depending on your residency history, if you’re a student from the EU, other EEA or a Swiss national, with settled or pre-settled status under the EU Settlement Scheme, you’ll normally pay the ‘Home’ tuition fee rate and may be eligible for Student Finance England support.

EU students without settled or pre-settled status will normally be charged fees at the ‘International’ rate and will not be eligible for Student Finance England support.

If you are unsure of your fee status, check out the latest guidance here .

Scholarships

We support our EU and international students by providing a generous range of Vice-Chancellor's automatic and merit-based scholarships. See  our   searchable postgraduate funding page  for more information.  

What you're paying for

Tuition fees include the costs of:

• matriculation
• registration
• tuition (or supervision)
• library access
• examination
• re-examination

Find out more about:

• living costs
• tuition fees

If you are an international student or a student from the EU, EEA or Switzerland and you need a visa to study in the UK, you may have to pay a deposit.

You can check this in the How to apply section .

If you're applying for funding, always check the funding application deadline. This deadline may be earlier than the application deadline for your course.

For some funding schemes, you need to have received an offer of a place on a course before you can apply for the funding.

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Entry requirements

The entrance requirements below apply to 2024 entry.

Qualifications from outside the UK

English language requirements, admissions policy.

This policy applies to all undergraduate and postgraduate admissions at Newcastle University. It is intended to provide information about our admissions policies and procedures to applicants and potential applicants, to their advisors and family members, and to staff of the University.

Download our admissions policy (PDF: 201KB) Other policies related to admissions

Credit transfer and Recognition of Prior Learning

Recognition of Prior Learning (RPL) can allow you to convert existing relevant university-level knowledge, skills and experience into credits towards a qualification. Find out more about the RPL policy which may apply to this course

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Using the application portal

The application portal has instructions to guide you through your application. It will tell you what documents you need and how to upload them.

You can choose to start your application, save your details and come back to complete it later.

If you’re ready, you can select Apply Online and you’ll be taken directly to the application portal.

Alternatively you can find out more about applying on our applications and offers pages .

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Questions about this course?

If you have specific questions about this course you can contact:

Postgraduate Secretary School of Mathematics, Statistics and Physics Telephone: +44 (0) 191 208 6960 Email: [email protected]

For more general enquiries you could also complete our online enquiry form.

Fill in our enquiry form

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You'll find our Ncl chatbot in the bottom right of this page.

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Additional information

As a research postgraduate in the School of Mathematics, Statistics and Physics you will be working under the supervision of an expert in your chosen field. To help you identify a topic and potential supervisor, we encourage you to find out more about our staff specialisms .

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Mathematics BSc (Hons) UCL (University College London)

Course options

Qualification.

Bachelor of Science (with Honours) - BSc (Hons)

• TUITION FEES
• ENTRY REQUIREMENT
• UNIVERSITY INFO

Course summary

This three-year programme allows you to study varied aspects of mathematics to an advanced level, with core modules in algebra, analysis, applied mathematics and mathematical methods. With this core knowledge you may then build your degree, choosing options from over 30 specialist modules.

Degree benefits

Gain transferable skills such as numeracy, problem-solving and logical thinking, which can lead to a large variety of interesting, diverse and well-paid careers.

Together with specialist mathematics options, you will have the opportunity to take modules from outside the department, such as economics, philosophy, a foreign language, classics or history of art.

Highly regarded (16th in Times Higher Education World University Rankings by Subject, 2021) UCL Mathematics is home to world-leading researchers in a wide range of fields, especially geometry, spectral theory, number theory, fluid dynamics and mathematical modelling.

Three of the six British winners of the Fields medal (the mathematician's equivalent of the Nobel Prize) have associations with the department.

Your learning

Teaching is mainly carried out through lectures and small-group tutorials. Problem classes allow you to exercise the skills you have learned. In addition, an 'office hours' system for each programme allows you to meet with tutors on a one-to-one basis to review parts of the degree you find interesting or that need clarifying. A Student Mentor scheme runs in the department offering support and advice to first-years.

Most modules are assessed by two-hour written examinations in the third term, with a small element (10%) of coursework assessment.

We aim to develop your skills in mathematical reasoning, problem-solving and accurate mathematical manipulation. You will also learn to handle abstract concepts and to think critically, argue logically and express yourself clearly.

A mathematics degree is highly valued by employers due to the skills in logical thinking, analysis, problem-solving and, of course, numeracy, that it develops.

Graduates have gone forward to use their mathematical skills in careers in the City of London, such as forecasting, risk analysis and trading; in financial services, such as accountancy, banking and insurance; and in scientific research, information technology and industry.

Application deadline

Modules (Year 1)

Modules (year 2), modules (year 3), tuition fees.

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£ 34,400 per year

Tuition fees shown are for indicative purposes and may vary. Please check with the institution for most up to date details.

Entry requirements

Choose a qualification.

QUALIFICATION TYPE

• Scottish Advanced Higher
• Cambridge International Pre-U Certificate - Principal
• International Baccalaureate Diploma Programme
• Welsh Baccalaureate - Advanced Skills Challenge Certificate (first teaching September 2015)

A*A*A with A*A* in Mathematics and Further Mathematics, or A*AA with A*A in Mathematics and Further Mathematics, any order, and a 2 in any STEP Paper or a Distinction in the Mathematics AEA. Biology, Chemistry, Computer Science, Economics, English Language, English Literature, Physics and Statistics preferred.Contextual Offers: please visit the course webpage for further details about our Access UCL scheme.

University information

Ucl (university college london), university league table, campus address.

UCL (University College London), Gower Street, London, Camden, WC1E 6BT, England

Subject rankings

Subject ranking.

6th out of 65 2

Entry standards

Graduate prospects

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Contact the mathematics department.

Learn more about the mathematics department.

Application Requirements

All application materials must be submitted directly through the online application system. We do not accept paper application materials. Official transcripts should not be sent to the Guarini School office during the application process.

Application Fee

English language proficiency .

• Language proficiency test scores are required for non-US citizens, with the exception of those who are earning or have earned a degree from institutions in the US or Canada, or whose primary language of instruction at their non-US institution was English.
• We accept TOEFL, IELTS, and Duolingo 
• The ETS code for the Guarini School is 3351

Personal Statements

• 2 required personal statement prompts.

Recommendation Letters

• 3 required, up to 4 accepted.

Transcripts

• Your most recent unofficial transcripts should be uploaded as part of your application. Official transcripts are not needed during the application process.

Program Supplement

Please upload a list of upper-level mathematics courses you have taken, specifying which textbooks you have used.

Research Areas

Indicate your interest in pursuing each research area during your graduate study. For more information about our various research groups, click here .

Learn more about the mathematics department faculty.

Questions About the Admissions Process

Admissions information can be found here.

Mathematics Department Website

Application Deadline: December 15, 2024

Degree Offered: PhD