A Brief Guide For Graduate Studies Applicants Issued by the Mathematical Instit

A Brief Guide For Graduate Studies Applicants Issued by the Mathematical Institute University of Oxford November 2013 Contents 1 Foreword 2 2 Possible Course Categories 3 2.1 DPhil . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 MSc by Research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 MSc in Mathematics and the Foundations of Computer Science . . . . . . . 4 2.4 MSc in Mathematical Modelling and Scientific Computing . . . . . . . . . . 4 2.5 MSc in Mathematical and Computational Finance . . . . . . . . . . . . . . 4 2.6 Part-time MSc in Mathematical Finance . . . . . . . . . . . . . . . . . . . . 5 2.7 Recognized Student Status . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.8 Visiting Student Status . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3 Admission by the Department 6 4 Finance 7 4.1 British Subjects and EU students with 3 years’ residence . . . . . . . . . . . 7 4.2 Other EU Subjects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.3 Other British Students and EU Students . . . . . . . . . . . . . . . . . . . . 7 4.4 Overseas Students (non EU) . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.5 College Scholarships . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5 College Admission 9 6 The Mathematical Institute 10 7 Other Departments 12 8 Appendix – Research Interests 13 8.1 Within the Mathematical Institute 2013/2014 . . . . . . . . . . . . . . . . . 13 8.2 Other Departments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1 1 Foreword The Mathematical Institute at Oxford enjoys a high reputation, both nationally and in- ternationally, for the excellence of its teaching and research, and is among the largest in the country. Mathematical research at Oxford covers a very wide range in both pure and applied mathematics. It attracts generous research funding and draws students and visiting faculty from all parts of the world. Students working for higher degrees in mathematics at Oxford (numbering over 160 at present) are an important and valued part of the mathematical life of the Mathematical Institute http://www.maths.ox.ac.uk/, and are provided with excellent facilities for the pursuit of their advanced study or research. Much of this information has been taken from official University and the EPSRC web site from which further details can be obtained. These are: • University Central Administration http://www.admin.ox.ac.uk/, Wellington Square, Oxford OX1 2JD – Statutes, Decrees and Regulations – Examination Decrees – Graduate Studies Prospectus – Overseas Students Admission • Engineering and Physical Sciences Research Council http://www.epsrc.ac.uk Those wishing to be admitted to postgraduate work for a higher degrees should note that they will need to do the following: 1. obtain formal acceptance by the Mathematical Institute (see Section 3); 2. arrange adequate finance (see Section 4); 3. be accepted as a member of a college (see Section 5); 4. meet the department’s English Language requirements. Those who want to work here as postgraduate students not registered for any Oxford degree should consult sections 2.7 and 2.8. Your attention is drawn to the University’s Equal Opportunities Statement http://www.admin.ox.ac.uk/eop/statements.htm. 2 2 Possible Course Categories Students are accepted in the following categories: • for the degree of DPhil (see section 2.1) • for the degree of MSc by research (see section 2.2) • for the degree of MSc in Mathematics and the Foundations of Computer Science (see section 2.3) • for the degree of MSc in Mathematical Modelling and Scientific Computing (see section 2.4) • for the degree of MSc in Mathematical and Computational Finance (see section 2.5) We do not accept part time students for the above courses. • for the part-time degree of MSc, or Diploma, in Mathematical Finance (see section 2.6) • as a Recognized Student (see section 2.7) • as a Visiting Student (see section 2.8) 2.1 DPhil This is a higher research degree suitable only for able candidates. A first class degree or equivalent is a minimum requirement. The DPhil requires a significant and substantial contribution to knowledge. Students are normally admitted initially to a probationary status and approved for transfer to DPhil only when the Mathematical Institute is satisfied of their ability to attempt such a contribution; this transfer involves the submission of written work and an oral examination. It is also possible for students registered for other degrees to transfer to DPhil student status. The minimum period of registration for the DPhil is six terms (including any time registered for the MSc or as a probationary research student), but in practice most students need nine terms at least. Please contact Sandy Patel (graduate.studies@maths.ox.ac.uk) at the Mathematical Institute for further information. 2.2 MSc by Research The MSc by research is exactly like a doctorate, but with a research project designed to take less time (normally two years, though it is possible to complete the requirements in a single year). It is not intended as a first step towards a DPhil, but rather as an alternative to a DPhil. There are no associated lectures, classes or written examinations. It can be in any of the subject areas for which supervision is available. Those hoping to do an MSc by research are admitted as “Probationer Research Students” in exactly the same way as those intending to do a DPhil. Thus it is quite possible to switch between the two. The same standards are applied for admission for the two degrees. Relatively few students opt for the MSc by research, and in most cases the decision is due to limitations on the period for which they have funding. Please contact Sandy Patel (graduate.studies@maths.ox.ac.uk) at the Mathematical Institute for further information. 3 2.3 MSc in Mathematics and the Foundations of Computer Science Over the last 20 years or so, there has been an explosion in the use of computers in helping to solve mathematical problems. Such problems range from the extremes of pure number theory across the spectrum of mathematics to solving differential equations originating in biology and engineering. In this 12 month course, the emphasis is on combining those parts of mathematics which both gain from, and contribute to, the theoretical aspects of computer science. The mathematical schedules in this MSc concentrate on Algebra, Combinatorics, Logic, Number Theory and Topology. Every student will be required to pay regard to, and show proficiency in, the applicable parts of the course. This MSc will be of great benefit to those graduate students hoping to do research on the frontiers of mathematics and computer science. It aims to produce students well equipped either to start work on a doctorate or to enter the research side of industry. Students take courses from two sections: Section A (Mathematical Foundations) and Sec- tion B (Applicable Theories). The course is suitable for those who wish to pursue research in pure mathematics (especially algebra, number theory, combinatorics, topology and their computational aspects), mathematical logic, or theoretical computer science. It is also suit- able for students wishing to enter industry with an understanding of the mathematical and logical basis to many modern techniques in information technology (for example, machine learning, programming language design and concurrency). Applicants should have a strong mathematical background, that is, a good honours degree in Mathematics or a good honours degree in Computer Science containing a significant mathematical component. Please con- tact Vicky Archibald (archibald@maths.ox.ac.uk) at the Mathematical Institute for further information. 2.4 MSc in Mathematical Modelling and Scientific Computing This 12-month course aims to train graduates with a strong mathematical background to develop and apply their skills to the solution of real uploads/Litterature/ brief-guide.pdf

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