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PhD in Mathematics of Information (CDT)

Cambridge Mathematics of Information (CMI) offers a four-year PhD programme, with a structured first year. Research areas in CMI range widely across the field of `data science’ including statistics and probability; applied, pure and computational analysis; and the theory and modelling of complex, dynamical and physical systems. Training, especially in the first year, emphasises not only individual study but also teamwork, communication and engagement with users of mathematics. Students are based at the Centre for Mathematical Sciences, which houses the Department of Pure Mathematics and Mathematical Statistics, Department of Applied Mathematics and Theoretical Physics, Statistical Laboratory, Isaac Newton Institute and Betty and Gordon Moore Library.

This cutting-edge training centre in the Mathematics of Information will produce 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. As the relevant skill sets are multi-faceted in nature, ranging from computational, algorithmic to analytical and statistical expertise, they are best acquired in an interdisciplinary, cohort-based education system that exposes all students simultaneously to the many interlaced aspects of mathematics in data science, with a strong emphasis on industrial collaboration. Subject areas of key importance are identified: large scale optimisation and variational methods, high-dimensional and non-parametric statistics, functional data analysis, Bayesian inference, mathematical inverse problems, partial differential equations, quantum information theory and computing, operations research and statistical learning theory, probability & random matrix theory, ergodic- & computational complexity theory.

The CMI PhD is a four-year course leading to a single PhD thesis. Students are expected to submit the thesis for examination at the end of the fourth year; an additional writing-up year is not expected. The main distinctive feature of training at CMI is the structured programme running over the first nine months when, besides beginning work on an initial research project, students work in teams to learn a broad spectrum of modern analysis, undertake an external project supervised by a user of mathematics in science or industry, and participate in a range of seminars, including an industrial workshop. Our students find this method of learning stimulating and enjoyable and the joint activity leads to an inclusive and well-integrated cohort.

During their first year students will undertake the following:

A core module which will train all students, independently of their research specialism, in the use of a variety of methods of modern data science, including the construction and analysis of statistical algorithms for high dimensional problems, applied numerical & image analysis, inverse problems, mathematical foundations of modern signal processing (Fourier & Wavelet methods, compressed sensing), mathematical modelling (fluid dynamics, mathematical biology, biomedical physics), and areas of scientific computing

A further module is chosen from one of three scientific pillars of the PhD training programme:

high-dimensional statistics and computational analysis,

modelling of complex, dynamical and physical systems and

probability theory and pure analysis.

These clusters will consist of group-based project research work that accompanies selected advanced lecture courses offered by the highly successful `Part III’ Master’s course within the mathematics Faculty going beyond the course content through supervised team projects, each of which leads to a report and presentation by students to the first-year cohort.

Two further taught courses chosen from the extensive menu of Part III and graduate courses. These are assessed by an oral examination.

An initial research project with their prospective supervisor and an external project. These are assessed by written report and oral presentation.

All students undergo a review at the end of their first year, and again at the end of their second year.

Students beginning the CMI PhD all have a prospective supervisor from the Faculty of Mathematics, who directs the initial research project, which forms part of the first-year programme. Often students will progress to work with the same supervisor for the PhD but the possibility remains open to switch to a new area in the course of the first year or to work on a PhD project jointly supervised in another department of the University or in industry.

Throughout their time at CMI students are also encouraged to take part in other PhD training activities, such as the graduate analysis seminar series, public engagement and transferable skills courses, designed to equip students with a range of skills, competencies, knowledge and experience necessary to thrive as a modern mathematical data scientist.

Intakes

Application Processing Time in Days: 20

Minimum English Language Requirements

English Level Description	IELTS (1.0 -9.0)	TOEFL IBT (0-120)	TOEFL CBT (0-300)	PTE (10-90)
Expert	9	120	297-300	86-90
Very Good	8.5	115-119	280-293	83-86
Very Good	8	110-114	270-280	79-83
Good	7.5	102-109	253-267	73-79
Good	7	94-101	240-253	65-73
Competent	6.5	79-93	213-233	58-65
Competent	6	60-78	170-210	50-58
Modest	5.5	46-59	133-210	43-50
Modest	5	35-45	107-133	36-43
Limited	4	32-34	97-103	30-36
Extremely Limited	< 4	< 31	< 93	< 30

Job Opportunity Potential

Whether you’re sure of the career you want to pursue when you graduate or you’re looking to explore your options, we’ll help you to prepare for your future.

89% of our students who responded to the Graduate Outcomes Survey were in work or further study within 15 months of graduating¹
Top 10 in the UK for graduate prospects (Complete University Guide 2021)

Transferable skills
The majority of graduate employers recruit students with any degree discipline. It’s the flexibility of your degree, as well as the range of transferable skills that you develop, that are of interest to employers.

Cambridge students are typically ambitious, intelligent, motivated, hard-working, passionate, committed, curious, intellectually creative, independent thinkers, and able to manage their time effectively. Employers know this and look for the same attributes in potential new employees, which is why our graduates are so sought after.

Dedicated support and guidance
Once you’re at Cambridge, you can work with our dedicated Careers Service from day one to explore your career options. The team of experienced and impartial careers advisers can help you connect with employers and navigate the complex job market, saving you time and maximising your employability prospects. The Careers Service run a range of workshops on topics including choosing a career, cover letters, applications and getting ready for interviews. They also organise more than 200 careers events and briefing and skills sessions, and typically around 15 major careers fairs each year.

Internships and work experience
Our industry connections provide a range of opportunities for you to undertake work experience, enhancing your CV ready for graduation. Thousands of opportunities are publicised across all sectors on the Careers Service’s Handshake site, with bursaries offered to support unpaid opportunities with charities.

Networking opportunities
The Careers Service’s alumni database, GradLink, will give you access to contact details for over 1,200 Cambridge alumni working in a huge range of industries who can offer first-hand advice. The Service also runs more than 50 employment-related skills training sessions and can offer information on occupations, further study courses and funding.

Graduate employment destinations
Our graduates go on to work in a wide range of industries, from social work and education, to legal activities and finance. The list below shows the top ten occupations of respondents to the Graduate Outcomes Survey (15 months after graduation).¹

Medical practitioner

Programmer/software development professional
Management consultants and business analysts
Finance and investment analysts and advisers
Marketing associate professionals
Business and related associate professionals
Secondary education teaching professionals
Primary and nursery teaching professionals
University researchers
Higher education teaching professionals

PSW Opportunity

UK announces 2-year post-study work visa for international Students

Admission Requirement / Eligibility Criteria

Postgraduate study at the University of Cambridge is intense and very intellectually demanding, so the University has high academic entry requirements. You are normally expected to hold or to have achieved by the start of your course:

minimum of an upper second class (good 2:1) honours degree from a UK university or an equivalent standard from an overseas university; and
completion of, or release from, any current training or education course

University Minimum Requirement
Professional Bachelor's (at least 4 years) in professional subjects such as Agriculture, Architecture, Business Administration, Business Management, Business Studies, Computer Applications, Engineering, Fine Arts, Homoeopathic Medicine and Surgery, Law, Nursing, Pharmacy, Physiotherapy and Technology or Bachelor of Arts / Science / Commerce (3-4 years) from well ranked institutions with an overall grade of 70% or CGPA 7.3+.

If the academic requirement of the course is a first:

Professional Bachelor's (at least 4 years) in professional subjects such as Agriculture, Architecture, Business Administration, Business Management, Business Studies, Computer Applications, Engineering, Fine Arts, Homoeopathic Medicine and Surgery, Law, Nursing, Pharmacy, Physiotherapy and Technology or Bachelor of Arts / Science / Commerce (3-4 years) from well ranked institutions with an overall grade of 75% or CGPA 8.0+.

IELTS Academic1 – normally a minimum overall grade of 7.5, usually with 7.0 or above in each element
TOEFL Internet Based Test (IBT) – normally a minimum overall score of 110, with 25 or above in each element
EU students – a high grade in English taken as part of a leaving exam (eg the European/French Baccalaureate, Abitur etc) may be acceptable
Cambridge English: C2 Proficiency – accepted with a minimum overall score of 200, with no element lower than 185.
Cambridge English: C1 Advanced – accepted with a minimum overall score of 193, with no element lower than 185, plus an assessment by the Language Centre. Following assessment the University Language Centre may advise further action from the applicant (eg enrolment at one of the Language Centre courses, or completion of an IELTS test).
Singapore Integrated Programme (SIP) – may be considered an acceptable English language qualification

University of Cambridge

England , England ,United Kingdom