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PhD in Applied Mathematics and Theoretical Physics

Postgraduate Study

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This is a three to four-year research programme culminating in submission and examination of a thesis containing substantial original work. PhD students carry out their research under the guidance of a supervisor, and research projects are available from a wide range of subjects studied within the Department. Students admitted for a PhD will normally have completed preparatory study at a level comparable to the Cambridge Part III (MMath/MASt) course. A significant number of our PhD students secure post-doctoral positions at institutions around the world and become leading researchers in their fields.

Prerequisites

Many students in DAMTP are admitted after taking the Cambridge Part III (MMath/MASt) course and others will have completed a comparable Master-level course. Some may already have carried out a small-scale research project. All of our students, therefore, begin their PhD work with a good grasp of advanced material, on which they can build as their research progresses.

Research Areas

Research in DAMTP can be divided into the following broad areas: Applied and Computational Analysis, Astrophysics, Fluid Mechanics, Geophysics, Biophysics and Soft Matter, Mathematical Biology, Quantum Information, High Energy Physics, General Relativity and Cosmology, and Machine Learning (fundamentals and applications to healthcare). The boundaries between such areas are not rigid, however, and many members of staff will contribute to more than one area (this is regarded as a key factor in the continuing success of DAMTP). There are active seminar programmes across all subject areas, attendance at which is an important part of PhD student training.

PhD Supervision

Each PhD student in DAMTP has a supervisor who is responsible for guiding their research and monitoring their progress. Each student is admitted to work within a particular subject area, and often with a specific supervisor. Some students will work in close collaboration with their supervisor, or as part of a larger research group, while others may work more independently (with their supervisor's approval). Collaborative projects may involve other researchers or groups outside Cambridge, in the UK or worldwide.

Progress during the course

Students in DAMTP are admitted on a probationary basis in the first instance and are assessed for registration after roughly one year of work. A review of progress starts before the end of the third term of research when students are asked to submit a short report. A more detailed appraisal and interview are conducted during the fourth term of their research. For the fourth term assessment, two assessors are assigned to consider the academic progress of each student, including a record of their attendance at seminars and other related activities. Progress continues to be monitored throughout their PhD through regular online supervision reports.

Students are encouraged to give talks and seminars within the department, and to present their findings at conferences or meetings, once the time is right. We regard it as particularly important that our students submit their work for publication in leading journals, as well as to web-based archives, and many will already have several papers in circulation when they come to write their thesis. Additional support and advice for students is available at any stage of their PhD through a system of designated departmental advisors, as well as from members of the DAMTP Postgraduate Education Committee.

Working Environment

DAMTP is part of the Centre for Mathematical Sciences or CMS. The site is shared with the Department of Pure Mathematics and Mathematical Statistics and also with the Isaac Newton Institute and the Betty and Gordon Moore Library (the main university mathematical science library). CMS provides a modern, comfortable and well-equipped working environment for PhD students, facilitating day-to-day contact with academic staff and other students.

Additional training and opportunities

All students in DAMTP can benefit from a wide variety of additional courses and training opportunities. In addition to the wide range of lectures and seminars on offer in DAMTP and CMS, the Department actively promotes and encourages researcher development and transferable skills training (e.g. sessions on improving communication skills, organisational and leadership skills, presenting work at seminars or conferences, and applying for postdoctoral positions). Some of these workshops are coordinated with the centrally-run Researcher Development Programme which is open to all students of the University; others are run by the Faculty of Mathematics.

There is no requirement for PhD students to teach but there are plenty of opportunities to do so, such as offering problem-solving classes (college supervisions) for small groups of undergraduate students or offering help with running examples classes for Part III students.

Please note: part-time study may not always be viable and will be considered on a case-by-case basis, so please discuss this option with your proposed supervisor before making an application for this mode of study.

The Postgraduate Virtual Open Day usually takes place at the beginning of November. It’s a great opportunity to ask questions to admissions staff and academics, explore the Colleges virtually, and to find out more about courses, the application process and funding opportunities. Visit the Postgraduate Open Day page for more details.

See further the Postgraduate Admissions Events pages for other events relating to Postgraduate study, including study fairs, visits and international events.

Departments

This course is advertised in the following departments:

Faculty of Mathematics
Department of Applied Mathematics and Theoretical Physics

Key Information

3-4 years full-time, 4-7 years part-time, study mode : research, doctor of philosophy, department of applied mathematics and theoretical physics this course is advertised in multiple departments. please see the overview tab for more details., course - related enquiries, application - related enquiries, course on department website, dates and deadlines:, lent 2025 (closed).

Some courses can close early. See the Deadlines page for guidance on when to apply.