PhD

Mathematical Analysis

Study mode:On campus Study type:Full-time Languages: English
Local:$ 26.9 k / Year(s) Foreign:$ 44.2 k / Year(s) Deadline: Jun 29, 2024
6 place StudyQA ranking:2809 Duration:4 years

Photos of university / #cambridgeuniversity

Mathematical analysis provides the conceptual framework and methodology for a large part of current mathematical research and innovation. It underpins the majority of novel applications of mathematics in science, engineering and industry. Problems originating in science, engineering and industry are typically formulated in mathematical terms using analysis, while new mathematical ideas, techniques and algorithms usually make their impact in application areas through the means of analysis. Training at CCA emphasises the whole range of modern techniques, their interconnections and applications.

The CCA 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 CCA 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:

  • CCA teamwork projects in various areas of analysis.  These are often associated with Part III (MMath/MASt) courses in areas of analysis, 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 courses chosen from the extensive menu of Part III and graduate courses. These are assessed by 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 CCA 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 CCA students are also encouraged to take part in other CCA 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 mathematical analyst.

During their first year students will undertake:

  • CCA teamwork projects in various areas of analysis.  These are often associated with Part III (MMath/MASt) courses in areas of analysis, going beyond the course content through supervised team projects.  These are known as CCA Core Courses.
  • Two supplimentary courses chosen from the extensive menu of Part III (MMath/MASt) and graduate courses offered by the Faculty.
  • An initial research project with their prospective supervisor.  This should amount to the equivalent of about three month's solid work (spread through the year, taking into account other components of the course).
  • An external research project is undertaken in Lent term.  The project is selected from a range of projects offered by partner organisations, either in industry or in another University department.  A list of available projects will be made available in Michaelmas term.  This should amount to the equivalent of about one month's solid work.
   
One to one supervision

On admission to CCA each student is assigned a First Year Supervisor from the Faculty of Mathematics.  Your First Year Supervisor will set your Initial Research Project. He or she will also direct your studies, including advising on any course choices, and will report to the University and to the CCA Co-Directors on your progress. Your Supervisor may also recommend your attendance at particular research seminars or study groups relevant to your Project. While, in many cases, students will continue with their First Year Supervisor for the PhD, it is equally acceptable to move to a new PhD Supervisor, and indeed this is an intended flexibility in CCA, allowing you to choose the area for your PhD thesis on the
basis of your experience in the first year.

Seminars & classes

CCA hosts an Industry Briefing or Workshop in Easter Term, which all first and second year CCA students are expected to attend.

Lectures

Part III (MMath/MASt) courses are predominantly either 16 or 24 hours of formal lectures and are usually held in either Michaelmas or Lent term.

Placements

Depending on the nature of the research dissertation, visits to work in other leading international research centres, or placements in industry, are encouraged during the final year of the PhD. CCA industry partners include BP, EADS, L3-TRL Technology, MathWorks, Microsoft, Schlumberger, Ultra Electronics, Waymont Consulting.

Feedback

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

Assessment

Thesis

Assessment for the PhD is by submission of a dissertation and oral examination. 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.

Other

The structured elements of the first year are assessed as follows:

  • CCA Core Courses are assessed by submission of a report and presentation by students to the first year cohort.
  • The two supplimentary Part III courses are assessed by oral examination.
  • The initial research project is assessed by written report and oral presentation.
  • The external research project is assessed by written report and oral presentation.

At the end of the first year (June) students will also undergo a review meeting with the CCA Co-Directors.  The Co-Directors will consider reports from supervisors/co-ordinators of first year structured elements, together with a short factual statement on training and research activities undertaken since admission (to be prepared by the student).

In the second year students will undergo a further review of progress in June with a Co-Director and their supervisor.  An updated statement on training activities, completed research papers, and work in progress will be considered as part of this review.

  • 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
  • Global Education
  • Gates Cambridge Scholarships
Similar programs:
Study mode:On campus Languages: English
Local:$ 5.42 k / Year(s) Foreign:$ 18.4 k / Year(s)
Deadline: Jan 31, 2025 30 place StudyQA ranking: 4730
Study mode:On campus Languages: English
Local:$ 26.9 k / Year(s) Foreign:$ 44.2 k / Year(s)
Deadline: Jun 29, 2024 6 place StudyQA ranking: 6613
Study mode:On campus Languages: English
Local:$ 5.29 k / Year(s) Foreign:$ 20.5 k / Year(s)
77 place StudyQA ranking: 2974
Study mode:On campus Languages: English
Local:$ 26.9 k / Year(s) Foreign:$ 49.3 k / Year(s)
6 place StudyQA ranking: 5649
Study mode:On campus Languages: English
Local:$ 9.11 k / Year(s) Foreign:$ 25 k / Year(s)
Deadline: Nov 18, 2024 1 place StudyQA ranking: 2586
Study mode:On campus Languages: English
Local:$ 9.11 k / Year(s) Foreign:$ 25 k / Year(s)
Deadline: Nov 18, 2024 1 place StudyQA ranking: 2695
Study mode:On campus Languages: English
Local:$ 26.9 k / Year(s) Foreign:$ 44.2 k / Year(s)
Deadline: Jun 29, 2024 6 place StudyQA ranking: 3041
Study mode:On campus Languages: English
Local:$ 48.9 k / Year(s) Foreign:$ 48.9 k / Year(s)
Deadline: Dec 15, 2024 9 place StudyQA ranking: 7452
Study mode:On campus Languages: English
Foreign:$ 6.5 k / Year(s)
Deadline: May 31, 2024 1001+ place StudyQA ranking: 4510