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. You will also undertake two courses chosen from the extensive menu of Part III and graduate courses. These are assessed by oral examination and 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. 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.