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Cambridge centre for data-driven discovery, currently advertised phd studentships.

• The majority of current PhD studentships are listed on the  University's Jobs site
• For a full list of departments and faculties at the University, visit this page where you can learn more about the research interests within each department
• To find academics you might like to work with, use our directory

Graduate Admissions

The  Graduate Admissions  office provides a range of information on postgraduate programmes at Cambridge, along with a step-by-step guide to the application process. It is advisable to start researching funding opportunities at least a year before your course begins.

MPhil and PhD course relevant to data science - from across University of Cambridge

Please visit the relevant pages and contact the relevant education provider if you have queries. You should pay particular attention to the entry requirements and guidance for applicants there.

MPhil in Machine Learning and Machine Intelligence - an eleven month full-time programme offered by the Machine Learning Group, the Speech Group, and the Computer Vision and Robotics Group in the Cambridge University Department of Engineering.  The course aims to teach the state-of-the-art in machine learning, speech and language processing, and computer vision; to give students the skills and expertise necessary to take leading roles in industry and to equip them with the research skills necessary for doctoral study at Cambridge and other universities.

PhD programme in Advanced Machine Learning - The Machine Learning Group is based in the Department of Engineering, and encourages applications from outstanding candidates with academic backgrounds in Mathematics, Physics, Computer Science, Engineering and related fields, and a keen interest in doing basic research in machine learning and its scientific applications. 

Cambridge Centre for AI in Medicine - Cambridge Centre for AI in Medicine (CCAIM) is a multi-disciplinary centre established by the University of Cambridge in 2020 to develop pioneering AI machine learning (ML) technologies that will transform biomedical science, medicine and healthcare. PhD studentships are oten available, please check their website for details.

SynTech Centre for Doctoral Training - EPSRC Centre for Doctoral Training in Next Generation Synthetic Chemistry Enabled by Digital Molecular Technologies. An interdisciplinary cohort-driven programme to produce the next generation of molecule making scientists by combining Synthetic Chemistry, Chemical Engineering, Engineering, Machine Learning and Artificial Intelligence.

Advanced Computer Science MPhil  - The MPhil in Advanced Computer Science (the ACS) is designed to prepare students for doctoral research, whether at Cambridge or elsewhere. Typical applicants will have undertaken a first degree in computer science or an equivalent subject, and will be expected to be familiar with basic concepts and practices. The ACS is a nine–month course which starts in early October and finishes on 30 June. It covers advanced material in both theoretical and practical areas as well as instilling the elements of research practice.

Application of Artificial Intelligence to the study of Environmental Risks MRes and PhD - The UKRI Centre for Doctoral Training in the Application of Artificial Intelligence to the study of Environmental Risks (AI4ER) trains researchers (through several multidisciplinary cohorts) to be uniquely equipped to develop and apply leading-edge computational approaches to address critical global environmental challenges by exploiting vast, diverse and often currently untapped environmental data sets. Embedded in the outstanding research environments of the University of Cambridge and the British Antarctic Survey (BAS), the AI4ER CDT addresses problems that are relevant to  building resilience to environmental hazards and managing environmental change .

Postgraduate Study in Mathematics - Various postgraduate courses of a mathematical nature are available at the University of Cambridge, including both taught courses and research degrees.

Mathematics of Information PhD  - This cutting-edge training Centre in the Mathematics of Information produces a new generation of leaders in the theory and practice of modern data science, with an emphasis on the mathematical underpinnings of this new scientific field. The Cambridge Mathematics of Information (CMI) PhD is a four-year course leading to a single PhD thesis.

Cambridge Computational Biology Institute MPhil and PhD ​ - The MPhil in Computational Biology course is aimed at introducing students in the biological, mathematical and physical sciences to quantitative aspects of modern biology and medicine, including bioinformatics. The course has been developed by the Cambridge Computational Biology Institute and is run by the Department of Applied Mathematics and Theoretical Physics at the Centre for Mathematical Sciences (CMS).

Centre for Scientific Computing MPhil and PhD  - The MPhil programme on Scientific Computing is offered by the University of Cambridge as a full-time course which aims to provide education of the highest quality at Master’s level. A common route for admission into our PhD programme is via the Centre’s MPhil programme in Scientific Computing.

Part III Mathematics  - Part III is a 9 month taught masters course in mathematics.  It is an excellent preparation for mathematical research and it is also a valuable course in mathematics and in its applications for those who want further training before taking posts in industry, teaching, or research establishments. Students admitted from outside Cambridge to Part III study towards the Master of Advanced Study (MASt).  Students continuing from the Cambridge Tripos for a fourth year, study towards the Master of Mathematics (MMath).  The requirements and course structure for Part III are the same for all students irrespective of whether they are studying for the MASt or MMath degree. There are over 200 Part III (MASt and MMath) students each year; almost all are in their fourth or fifth year of university studies. 

School of Clinical Medicine Graduate Training Office - Prospective students interested in pursuing a graduate degree course in a subject area related to clinical medicine at the University of Cambridge should consult the School’s individual departmental websites for detailed information about the courses which they run and the University’s Graduate Admissions website for information on the application process and on funding opportunities.

Centre for Doctoral Training in Data, Risk And Environmental Analytical Methods  - The CDT embraces a wide range of world-leading Doctoral research in the area of Big Data and Environmental Risk Mitigation. The CDT research underway seeks to utilise emerging technologies, techniques and tools, to more accurately monitor the environment, enabling cutting edge research. To provide end-users with more integrated information at improved temporal and spatial resolutions to deliver solutions to environmental challenges (both acute and long- term). Funded by  NERC  (the Natural Environment Research Council, NERC Ref: NE/M009009/1), the DREAM (Data, Risk and Environmental Analytical Methods) consortium is made up of Cranfield, Newcastle, Cambridge and Birmingham universities.

Centre for Doctoral Training in Data Intensive Science  - The Cambridge CDT in Data Intensive Science is an innovative, interdisciplinary centre, distributed between the Department of Physics (Cavendish Laboratory), Department of Applied Mathematics and Theoretical Physics (DAMTP), Department of Pure Mathematics and Mathematical Statistics (DPMMS) and the Institute of Astronomy (IoA).

MPhil in Data Intensive Science - This course aims to take science graduates and to prepare them for data intensive research careers by providing advanced training in three key areas – Statistical Analysis, Machine Learning, and Research Computing – and their application to current research frontiers.

Cambridge Digital Humanities - The MPhil provides the opportunity to specialise in a chosen subject area as well as an advanced level introduction to DH approaches, methods and theory. The course provides critical and practical literacy, the chance to advance an extant specialization by re-contextualizing it in relation to advanced theoretical work, and the chance to develop as a DH scholar.

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Graduate Applications

The CQIF includes four members of DAMTP Faculty, two affiliated members, and several senior researchers.

We always have to turn away some outstanding applicants: if you are considering applying to us you should also apply widely elsewhere. Applicants who are not UK citizens should also carefully consider the information about funding below, and note the very early deadlines for applications for funding from Foundations and Trusts. Applications to start a PhD in October 2022 will be considered from November 2021 onwards.

Successful applicants are likely to have a first class undergraduate degree in mathematics, physics or computer science, and should ideally also have an M.Sc. or equivalent qualification. Candidates considering applying directly from an undergraduate degree are encouraged to consider applying first to take Cambridge's one-year Masters-level course, the Master of Advanced Study in Mathematics (Part III of the Cambridge Mathematics Tripos). The course includes one or more lecture courses on aspects of quantum information and foundations, as well as courses on a wide variety of other topics in theoretical physics and pure and applied mathematics.

Applications from graduate students to research centres in DAMTP are handled by the Board of Graduate Studies in the first instance, and then administered by the department. Applications for PhD places should thus be made to the Board of Graduate Studies in the first instance, specifying an interest in working at the CQIF in DAMTP. The information needed can all be found on this page . Note that the timetable for applications has some very early application deadlines.

The University's admissions process is quite slow and, beyond the initial acknowledgment of receipt of your application, past experience suggests it could be as late as May before you hear any more from the University. Once the application process has started, your application can be tracked using your self-service account .

Applications for the Part III course should also be made to the Board of Graduate Studies. The information needed can be found on this page .

Our standard method of funding UK and EU graduate students is by grants from the UK Engineering and Physical Sciences Research Council. These are allocated by the department, mostly after the Part III results in mid to late June. EPSRC studentships provide full support for UK students, and cover tuition fees for EU students from outside the UK.

There are some other possible sources for funding (which are not generally restricted to EU students): for example the Gates Foundation, the Cambridge Commonwealth Trust, and a small number of the wealthier Cambridge Colleges. Decisions on these scholarships are made in May. Unfortunately (at least for us!), these funding sources are entirely outside our control or influence; in particular there is nothing we can do to get a decision from them sooner than May. Applications to these organisations and institutions need to be made separately. The University's Board of Graduate Studies web pages --- reached from the above-mentioned links --- have some information; anyone needing clarification or advice should contact either them or the relevant organisation. We have no independent sources of support for non-EU students.

While we try to be helpful where possible, there is normally little that we can add to the information given here. We cannot generally comment in advance on the chances of any individual application to the CQIF being successful or offer advice in putting together an application. Applicants may find it helpful, though, to look at the information on our group web pages, and especially useful to look at some of the recent papers of CQIF members, which can mostly be found on the quantum physics archive . (Some recent papers are also linked from CQIF members' personal pages on this site.)

We normally interview  selected candidates once applications have been reviewed: the timetable for these varies from year to year.

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Research in DPMMS is actively undertaken across a range of modern mathematics.

The pages for individual members of DPMMS give information about each person's research interests.

DPMMS also hosts:

• The Cambridge Mathematics of Information in Healthcare Hub ( CMIH) 
• Cambridge Mathematics of Information (Centre for Doctoral Training)

Postdoctoral Opportunities

• Postdoc opportunities at DPMMS
• Postdocs of Cambridge Society (PdOC)

Research Students

• Information for new PhD students
• Information for current Postgraduate Students

Special Lectures and Events

Regular Seminars

Annual Lectures

• The  Mordell Lecture is given annually by an invited speaker for a research-level audience
• The  Rouse Ball Lecture is sponsored jointly with DAMTP  but aimed at undergraduates.
• The  Peter Whittle  Lecture is given annually by an invited speaker in the field of Statistics  
• DPMMS Colloquia

Research conferences 

• Archive of past events

Thesis Archive

DPMMS maintains a PhD thesis archive on Apollo

Guidance on adding new theses to the archive is available .

Related sites

• Statistical Laboratory
• Faculty of Mathematics
• Isaac Newton Institute for Mathematical Sciences

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Rollo Davidson Trust

The Statistical Laboratory is located in Pavilion D of the Centre for Mathematical Sciences. It is sub-department of the Department of Pure Mathematics and Mathematical Statistics , which in turn is part of the Faculty of Mathematics . We have about 35 members , made up of permanent staff, post-docs, and post-graduate students. Our interests cover a broad range of statistics, probability and operational research.

Congratulations to Jason Miller

awarded the 2023 Fermat Prize

awarded an ERC consolidator grant

Congratulations to Po-Ling-Loh

awarded Philip Leverhulme Prize, 2023

Thomas Bond Sprague Prize, 2023

Congratulations to L.J. Hill and M. Augustynowicz both of Trinity College jointly awarded the 2023 Thomas  Bond Sprague Prize

Senior Academic Promotions

Congratulations to Kaisey Mandel on his promotion to Professor (Grade 11) and to Roland Bauerschmidt and Rajen Shah on their promotion to Professor (Grade 12)

Congratulations to Duncan Dauvergne (University of Toronto),  Nina Holden (New York University) and Xin Sun (University of Pennsylvania)   jointly awarded Rollo Davidson Prize, 2023

Congratulations to Yiannis Kontoyiannis

elected to Fellowship in the Institute of Mathematical Statistics

Congratulations to Richard Nickl

awarded an ERC Advanced Grant 

jointly awarded the 2023 Leonard Eisenbud Prize for works on random two-dimensional geometries, and in particular on Liouville Quantum Gravity.

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• Faculty of Mathematics

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Welcome to the Math PhD program at Harvard University and the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

Learn more about Harvard’s Math community and our statement on diversity and inclusion.

The Harvard Griffin GSAS Office of Equity, Diversity, Inclusion & Belonging offers student affinity groups for graduate students and many other resources.

The Harvard University Office for Gender Equity has dedicated GSAS Title IX resource coordinators who work with and support graduate students.

open. The application deadline is December 15, 2021. -->

The application deadline for fall 2024 admission has passed. Applications for fall 2025 admission will open in September 2024.

For information on admissions and financial support, please visit the Harvard Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

Harvard Griffin GSAS is committed to ensuring that our application fee does not create a financial obstacle. Applicants can determine eligibility for a fee waiver by completing a series of questions in the Application Fee section of the application. Once these questions have been answered, the application system will provide an immediate response regarding fee waiver eligibility.

Mathematics

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This program is designed for students looking to conduct original mathematical research with the aim of becoming a research mathematician . Students will be located in Cambridge, Massachusetts, one of the most active centers of mathematics in the world. Other universities in the area include Boston College, Boston University, Brandeis University, MIT, and Northeastern University.

Students will have access to a wide range of resources including the Center of Mathematical Sciences and Applications, which brings together researchers from an extensive variety of disciplines and institutions and hosts conferences, seminars, and workshops.

Most graduates of the program have been very successful at securing postdoctoral fellowships in academia. A number of recent graduates have won prestigious fellowships including the Clay Fellowship, the Simons Fellowship, and NSF Graduate Research Fellowship. Others now have jobs in industry. 

Additional information on the graduate program is available from the Department of Mathematics and requirements for the degree are detailed in Policies .

Admissions Requirements

Please review admissions requirements and other information before applying. You can find degree program-specific admissions requirements below and access additional guidance on applying from the Department of Mathematics .

Statement of Purpose

The statement of purpose should convince the admissions committee that the applicant is able to communicate effectively and with a deep understanding of mathematics. It is not intended to be a biographical sketch or a reflection on one’s decision to enter the field.

Standardized Tests

GRE General: Not Accepted GRE Subject: Required

Theses & Dissertations

Theses & Dissertations for Mathematics

See list of Mathematics faculty

APPLICATION DEADLINE

Questions about the program.

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MPhil in Mathematics

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Course closed:

Mathematics is no longer accepting new applications.

The MPhil is offered by the Faculty of Mathematics as a full-time period of research and introduces students to research skills and specialist knowledge. Its main aims are:

• to give students with relevant experience at first-degree level the opportunity to carry out focused research in the discipline under supervision; and
• to give students the opportunity to acquire or develop skills and expertise relevant to their research interests. 

Programme Structure

The MPhil is a 12-month full-time programme and involves minimal formal teaching: students are integrated into the research culture of the Department of Pure Mathematics & Mathematical Statistics (DPMMS), or the Department of Applied Mathematics and Theoretical Physics (DAMTP), as appropriate. They may attend the Departments’ programmes of research seminars and other postgraduate courses, but most research training is overseen by their research supervisor, and, where appropriate, within a research group. 

Opportunities to develop research and transferable skills also exist through attendance at training sessions organised at Department, School or University level as part of the wider postgraduate programme, and informally through mentoring by fellow students and members of staff.

Partnership with St John's College

The Martingale Foundation, Faculty of Mathematics and St John's College ( https://www.joh.cam.ac.uk/ )  have partnered to ensure that students admitted via the Martingale Scholars Programme will typically be admitted as members of St John's College and become part of a Martingale Scholars Cohort.  If you would like more information on this partnership, please contact the Faculty directly. 

Learning Outcomes

By the end of the programme, students will have:

• acquired a comprehensive understanding of techniques, and a thorough knowledge of the literature, applicable to their own research;
• demonstrated originality in the application of knowledge, together with a practical understanding of how research and enquiry are used to create and interpret knowledge in their field;
• shown abilities in the critical evaluation of current research and research techniques and methodologies;
• demonstrated some self-direction and originality in tackling and solving problems, and acted autonomously in the planning and implementation of research.

MPhil students wishing to apply for a PhD at Cambridge must apply via the Postgraduate Admissions Office for continuation by the relevant deadline.

The Postgraduate Virtual Open Day usually takes place at the end of October. 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
• Department of Pure Mathematics and Mathematical Statistics

Key Information

12 months full-time, 2 years part-time, study mode : research, master 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:, michaelmas 2024 (closed).

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

Funding Deadlines

These deadlines apply to applications for courses starting in Michaelmas 2024, Lent 2025 and Easter 2025.

Similar Courses

• Applied Mathematics and Theoretical Physics PhD
• Pure Mathematics and Mathematical Statistics PhD
• Mathematics (Theoretical Physics) MASt
• Mathematics (Mathematical Statistics) MASt
• Mathematics (Pure Mathematics) MASt

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