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King's College London

Key information

Award:
MPhil
PhD
Study mode:
Full time
Part time
Campus:
Strand Campus
Duration:
3-4 years full-time, 6-8 years part-time

We have a wide range of research opportunities in the four groups that make up the Pure section of the Department of Mathematics, namely the Analysis, Geometry, Number Theory and Probability groups.

We recommend that you identify a broad research area that you are interested in and explore the webpages of the relevant research group(s). It might be the case that your interest spans more than one group.

You will find links to the personal pages of each of the academic staff in each group and you should try to identify a potential supervisor, who you can then contact directly to discuss further.

You can explore potential supervisors on our research group pages below. Details on how to make an application.

Key information

Head of Department: Professor Steven Gilmour

Our department has a large number of active and internationally renowned researchers and postdoctoral research fellows. The research groups organise regular seminars, where top-ranking scientists from around the world present new results, which our research students can witness first hand. The students also organise their own informal seminars and discussion groups. The lively environment and the exceptionally friendly atmosphere at our department contribute to the high success rate of our students. You can apply for supervision in all fields of interest of our staff members. The department provides funding for PhD students to attend suitable schools and conferences during their studies.

Funding

More than 80% of the PhD students at the department are fully funded through a number of funding schemes; the most common is departmental funding which covers tuition as well as a living stipend. In recent years, on average, 10 students per year have been admitted to a PhD programme with funding from the department.

For funding opportunities please explore these pages:

 

UK Tuition 2024/25

Full time tuition fees:

£6,936 per year (MPhil/PhD, Mathematics Research)

Part Time Tuition fees:

£3,468 per year (MPhil/PhD, Mathematics Research)

International Tuition Fees 2024/25

Full time tuition fees:

£26,070 per year (MPhil/PhD, Mathematics Research)

Part Time Tuition fees:

£13,035 per year (MPhil/PhD, Mathematics Research)

UK Tuition 2025/26

Full time tuition fees:

£7,500 per year (MPhil/PhD, Mathematics Research)

Part Time Tuition fees:

£3,750 per year (MPhil/PhD, Mathematics Research)

International Tuition Fees 2025/26

Full time tuition fees:

£28,000 per year (MPhil/PhD, Mathematics Research)

Part Time Tuition fees:

£14,000 per year (MPhil/PhD, Mathematics Research)

Mathematics Research with University of Hong Kong or Humboldt-Universität Zu Berlin

International Tuition Fees 2024/25

Full time tuition fees:

£26,070 per year (MPhil/PhD, Mathematics Research with University of Hong Kong)

£26,070 per year (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

Part time tuition fees:

£13,035 (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

UK Tuition Fees 2025/26

Full time tuition fees:

£7,500 per year (MPhil/PhD, Mathematics Research with University of Hong Kong)

£7,500 per year (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

Part time tuition fees:

£3,750 (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

International Tuition Fees 2025/26

Full time tuition fees:

£28,000 per year (MPhil/PhD, Mathematics Research with University of Hong Kong)

£28,000 per year (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

Part time tuition fees:

£14,000 (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

All of these fees may be subject to additional increases in subsequent years of study, in line with King's terms and conditions.

Bench fees will be applicable to the non-award research programme for visiting students.

Base campus

The Quad - Strand campus
Strand Campus

Located on the north bank of the River Thames, the Strand Campus houses King's College London's arts and sciences faculties.

You will be assigned a supervisor with whom you will work closely. You will also attend research seminars and take part in other research related activities in your research group, the department and more widely in the University of London. We do not specify fixed attendance hours, but we expect a good level of attendance, and our research students benefit from informal interaction with each other. You will be provided with access to working and storage space, as well as a laptop. On arrival you will discuss your research programme with your supervisor, and you will attend general induction sessions.

Postgraduate training

Carrying out research is learned in apprenticeship mode as PhD student works with a supervisor. Our PhD students receive various forms of training during their period of research, eg attending courses in the London Taught Courses Centre, attendance at EPSRC summer schools; provision of advanced lecture courses; College training courses for graduates who will give tutorial teaching to undergraduates; weekly seminars in the area of your research; frequent research group meetings; attendance at national and international conferences and research meetings.

Communication skills are developed by preparing and presenting seminars in the department, assisted by your supervisor; apprenticeship in writing papers and, in due course, the PhD thesis.

To build your teaching skills and experience, you are strongly encouraged to apply to become a Graduate Teaching Assistant, giving tutorials to our undergraduates (training is provided)

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Analysis
Analysis

The Analysis Group's research interests focus mainly on PDEs, operator theory and spectral theory.

Geometry
Geometry

The Geometry Group focuses on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, and symplectic geometry.

Number Theory
Number Theory

King's has a strong tradition of research in number theory, and this continues today with a particular emphasis on algebraic and representation-theoretic aspects of the subject.

Probability
Probability

The Probability group in the Department of Mathematics at King's College London.

For funding opportunities please explore these pages:

 

UK Tuition 2024/25

Full time tuition fees:

£6,936 per year (MPhil/PhD, Mathematics Research)

Part Time Tuition fees:

£3,468 per year (MPhil/PhD, Mathematics Research)

International Tuition Fees 2024/25

Full time tuition fees:

£26,070 per year (MPhil/PhD, Mathematics Research)

Part Time Tuition fees:

£13,035 per year (MPhil/PhD, Mathematics Research)

UK Tuition 2025/26

Full time tuition fees:

£7,500 per year (MPhil/PhD, Mathematics Research)

Part Time Tuition fees:

£3,750 per year (MPhil/PhD, Mathematics Research)

International Tuition Fees 2025/26

Full time tuition fees:

£28,000 per year (MPhil/PhD, Mathematics Research)

Part Time Tuition fees:

£14,000 per year (MPhil/PhD, Mathematics Research)

Mathematics Research with University of Hong Kong or Humboldt-Universität Zu Berlin

International Tuition Fees 2024/25

Full time tuition fees:

£26,070 per year (MPhil/PhD, Mathematics Research with University of Hong Kong)

£26,070 per year (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

Part time tuition fees:

£13,035 (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

UK Tuition Fees 2025/26

Full time tuition fees:

£7,500 per year (MPhil/PhD, Mathematics Research with University of Hong Kong)

£7,500 per year (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

Part time tuition fees:

£3,750 (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

International Tuition Fees 2025/26

Full time tuition fees:

£28,000 per year (MPhil/PhD, Mathematics Research with University of Hong Kong)

£28,000 per year (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

Part time tuition fees:

£14,000 (MPhil/PhD, Mathematics Research with Humboldt-Universität Zu Berlin)

All of these fees may be subject to additional increases in subsequent years of study, in line with King's terms and conditions.

Bench fees will be applicable to the non-award research programme for visiting students.

Base campus

The Quad - Strand campus
Strand Campus

Located on the north bank of the River Thames, the Strand Campus houses King's College London's arts and sciences faculties.

You will be assigned a supervisor with whom you will work closely. You will also attend research seminars and take part in other research related activities in your research group, the department and more widely in the University of London. We do not specify fixed attendance hours, but we expect a good level of attendance, and our research students benefit from informal interaction with each other. You will be provided with access to working and storage space, as well as a laptop. On arrival you will discuss your research programme with your supervisor, and you will attend general induction sessions.

Postgraduate training

Carrying out research is learned in apprenticeship mode as PhD student works with a supervisor. Our PhD students receive various forms of training during their period of research, eg attending courses in the London Taught Courses Centre, attendance at EPSRC summer schools; provision of advanced lecture courses; College training courses for graduates who will give tutorial teaching to undergraduates; weekly seminars in the area of your research; frequent research group meetings; attendance at national and international conferences and research meetings.

Communication skills are developed by preparing and presenting seminars in the department, assisted by your supervisor; apprenticeship in writing papers and, in due course, the PhD thesis.

To build your teaching skills and experience, you are strongly encouraged to apply to become a Graduate Teaching Assistant, giving tutorials to our undergraduates (training is provided)

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Analysis
Analysis

The Analysis Group's research interests focus mainly on PDEs, operator theory and spectral theory.

Geometry
Geometry

The Geometry Group focuses on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, and symplectic geometry.

Number Theory
Number Theory

King's has a strong tradition of research in number theory, and this continues today with a particular emphasis on algebraic and representation-theoretic aspects of the subject.

Probability
Probability

The Probability group in the Department of Mathematics at King's College London.

Key information

Award:
MPhil
PhD
Study mode:
Full time
Part time
Campus:
Strand Campus
Duration:
3-4 years full-time, 6-8 years part-time