Applied Mathematics and Theoretical Physics at the University of Cambridge offers a comprehensive multidisciplinary program that combines rigorous mathematical techniques with in-depth understanding of physical principles. This degree is designed for students who are passionate about exploring the fundamental laws governing the universe, applying advanced mathematical methods to solve complex problems in physics, and developing innovative approaches in research and industry. Throughout the course, students gain a solid foundation in pure and applied mathematics, theoretical physics, computational methods, and their interdisciplinary applications. The program covers a wide range of topics including classical mechanics, quantum physics, statistical mechanics, electromagnetism, fluid dynamics, and mathematical modeling. Students are encouraged to engage in research projects, practical laboratory work, and collaborative problem-solving exercises, which enhance their analytical skills and scientific ingenuity. The curriculum is structured to foster a deep conceptual understanding while also promoting practical skills such as programming, data analysis, and numerical simulation. The program benefits from Cambridge’s world-class faculty, cutting-edge research facilities, and strong links with industry and academia. Graduates of Applied Mathematics and Theoretical Physics are well-equipped for careers in academia, research institutions, financial services, technology firms, and engineering industries. The program emphasizes critical thinking, creativity, and a rigorous scientific approach, preparing students to address some of the most challenging scientific and technological questions of our time. Students will also have the opportunity to participate in seminars, workshops, and conferences that connect them with leading researchers and innovators. With a commitment to excellence and innovation, the University of Cambridge provides an ideal environment for aspiring scientists to develop their skills and contribute to advancements in mathematics and physics.

The course is exclusively by research.

Placements

Students funded by CASE awards may spend time on industrial placements as part of their PhD.

Feedback

Students can expect to receive an online feedback report from their supervisor each term.

Assessment

Thesis

Assessment for the PhD is by submission of a dissertation and oral examination only. There is no standard format for the dissertation in Mathematics (i.e. no prescribed word limit).  Candidates should discuss the format appropriate to their topic with their supervisor.

• Magistr (Master's Degree) at Pass level. Diploma Specialista (completed post-1991) with a minimum overall grade of good or 4/5 Bachelor's from Moscow Institute of Physics and Technology and other prestigious institutions with an overall grade of 4/5 Bologna Bachelor's from other institutions with an overall grade of 5/5, Excellent
• Diploma Specialista (completed post-1991) with a minimum overall grade of Excellent or 5/5 Bachelor's from Moscow Institute of Physics and Technology and other prestigious institutions with an overall grade of 5/5
• IELTS (Academic) 7.0
• TOEFL Internet Score 100
• £50 application fee
• First Academic Reference
• Second Academic Reference
• Transcript
• Personal Reference

If you miss the deadlines specified in this section, you will not be able to submit your application.

Those wishing to do a PhD in DAMTP are strongly encouraged to apply by the end of January for admission in October. However, later applications will still be considered where possible (up until the general, University deadline). It is also important to note that earlier applications may be necessary in certain subject areas (HEP and GR), as described below. Certain funding opportunities may also depend on meeting earlier deadlines.

Applicants wishing to explore the possibility of a later start date (January or April) should contact DAMTP prior to submitting an application. Applicants will usually only be considered for admission in January or April in exceptional circumstances. 

Applicants are encouraged to make informal contact with potential supervisors prior to making an application. Applicants should clearly state in the relevant field of the application form the subject area in which they intend to undertake research. If possible they should mention which research group(s) in DAMTP they would like to consider their application.

Selection Process

Applications are reviewed on a rolling basis as they are received. 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. Once a decision has been taken on your application, the result will appear on your CamSiS Self-Service page.

Applicants to the High Energy Physics (HEP) and General Relativity and Cosmology (GR) groups should note that we anticipate making some offers to outstanding candidates in March. These offers will be made on the basis of academic track record, and the applicant may also be invited to an interview at that stage and be asked to sit a written admissions test. In order to be considered for the March round of offers, you must submit your application to the Graduate Admissions Office by 15 December at the latest. This applies equally to applicants of UK, EU and Overseas funding status. In addition to the March round of offers, it is expected that some additional PhD places in the HEP and GR groups will be offered in June, once the Part III Mathematical Tripos results are available. Because of the very high level of preparation required, the great majority of successful applicants for PhD places in these research groups will be taking or have taken Part III Mathematics.

The University of Cambridge offers a range of financing options for students enrolled in its Applied Mathematics and Theoretical Physics programmes. Funding opportunities are available through scholarships, bursaries, student loans, and part-time work schemes. Scholarships are often awarded based on academic merit, potential, or financial need, with some specifically designated for students pursuing degrees in applied mathematics or theoretical physics. These scholarships may cover full or partial tuition fees and sometimes include living expenses. Applicants are advised to check the university’s official scholarships database for the most current offerings and eligibility criteria. Bursaries are financial awards that do not need to be repaid and are typically based on financial need; these are available to UK and EU students who demonstrate significant financial hardship. International students may also be eligible for certain scholarships, though competition is generally higher.

In addition to external funding sources, students are encouraged to explore government-backed student loan schemes. In the UK, eligible students can apply for loans to cover tuition fees and living costs via the Student Loans Company, with repayment commencing after graduation once earning thresholds are met. Cambridge also offers its own bursary schemes, which provide financial assistance to students from low-income backgrounds. These bursaries aim to make studying at Cambridge more accessible regardless of financial circumstances. Many students benefit from part-time employment opportunities, both on-campus and within the local community, which help supplement their income and gain valuable work experience. The university provides resources and guidance on finding suitable part-time roles, often emphasizing roles that accommodate academic schedules.

Moreover, some departments may have specific grants or awards aimed at supporting research projects, internships, or travel for academic purposes. International students are advised to seek additional external funding sources, including government grants, international scholarships, or sponsorships from their home country. It is recommended that prospective and current students consult the university’s official financial aid office and the respective department’s webpage for detailed and updated information on available funding options, application procedures, deadlines, and eligibility requirements. Overall, Cambridge’s comprehensive funding framework is designed to support students financially throughout their course, enabling talented individuals to focus on their academic pursuits without undue financial burden.

Applied Mathematics and Theoretical Physics at the University of Cambridge offers a comprehensive and rigorous curriculum designed to cultivate a deep understanding of mathematical principles and their application to physical phenomena. This interdisciplinary degree combines core areas such as pure mathematics, theoretical physics, and computational methods, providing students with a versatile skill set applicable in academia, research, and industry. The program is aimed at students with a strong aptitude for quantitative reasoning and an interest in exploring complex scientific problems.

Throughout the course, students engage with advanced topics including classical mechanics, quantum mechanics, electromagnetism, statistical mechanics, and mathematical methods used in physics. The curriculum emphasizes problem-solving skills, analytical thinking, and the ability to develop mathematical models to describe physical systems. Students also gain experience in programming and computational techniques, crucial for simulating and analyzing physical phenomena.

The program benefits from Cambridge's rich research environment, allowing students to participate in cutting-edge research projects and collaborate with leading experts in the fields of applied mathematics and theoretical physics. The college system fosters a close-knit academic community, providing mentorship and personalized support, while access to world-class lecture series, seminars, and workshops enriches the learning experience.

Students are encouraged to undertake independent research and often have the opportunity to present their work at conferences and competitions. The degree prepares graduates for careers in scientific research, data analysis, finance, engineering, and beyond. Many alumni continue to postgraduate study at top universities worldwide, contributing to advancements in knowledge and technology. Overall, Applied Mathematics and Theoretical Physics at Cambridge combines theoretical rigor with practical application, equipping students with the tools to address some of the most fundamental questions about the universe and complex systems.