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:
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:
|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
|Seminars & classes||
CCA hosts an Industry Briefing or Workshop in Easter Term, which all first and second year CCA students are expected to attend.
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.
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.
Students can expect to receive an online feedback report each term.
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.
The structured elements of the first year are assessed as follows:
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.
Universities in the United Kingdom use a centralized system of undergraduate application: University and College Admissions Service (UCAS). It is used by both domestic and international students. Students have to register on the UCAS website before applying to the university. They will find all the necessary information about the application process on this website. Some graduate courses also require registration on this website, but in most cases students have to apply directly to the university. Some universities also accept undergraduate application through Common App (the information about it could be found on universities' websites).
Both undergraduate and graduate students may receive three types of responses from the university. The first one, “unconditional offer” means that you already reached all requirements and may be admitted to the university. The second one, “conditional offer” makes your admission possible if you fulfill some criteria – for example, have good grades on final exams. The third one, “unsuccessful application” means that you, unfortunately, could not be admitted to the university of you choice.
All universities require personal statement, which should include the reasons to study in the UK and the information about personal and professional goals of the student and a transcript, which includes grades received in high school or in the previous university.