Department of Mathematics

INTRODUCTION

The Department is a leading centre of research with internationally renowned groups in Analysis, Disordered Systems, Financial Mathematics, Geometry, Number Theory and Theoretical Physics. The research interests of the Analysis group focus mainly on partial differential equations, operator theory and spectral theory. The research of the Geometry group members covers areas in algebraic geometry, differential geometry, geometric analysis and Lie theory. Areas of particular interest in the Number Theory group include special value conjectures, Iwasawa theory, p-adic modular forms, the representation theory of p-adic groups, generalisations of Serre's conjecture and various aspects of the Langlands programme. The research interests of the Financial Mathematics group cover a wide range of the mathematical finance and applied probability spectrum, from stochastic filtering and control to arbitrage free valuation and risk management, from derivatives modelling in several asset classes to agent based modelling and portfolio theory; the group further enjoys a close relationship with many financial institutions in the City. Research in the Disordered Systems group covers the development of mathematical tools for analysis of complex or disordered systems in areas ranging from physics and biology to financial markets. The Theoretical Physics group is at the forefront of research in supersymmetry, string and M- theory and related areas. The Department offers four MSc programmes, each of which draws on our research, enabling us to present material relating to latest developments in mathematics and its applications.

INDUCTION & TRAINING

Research is carried out in apprenticeship mode as a PhD student works with a supervisor. Our PhD students receive various forms of training during their period of research, e.g. attending courses at London Taught Course Centre, attendance at EPSRC summer schools; provision of advanced lecture courses; College training courses for graduates who will give tutorial teaching to undergraduates; weekly seminars in the area of your research; frequent research group meetings; attendance at national and international conference and research meetings. Communication skills are developed by: preparing and presenting seminars in the department, assisted by your supervisor; apprenticeship in writing papers and, in due course, the PhD thesis. Students also have the opportunity to give tutorials (with training, see above) to undergraduates.

FACILITIES

Our department provides computer rooms and social space for MSc students. We provide extra computing facilities when required for project work. Each of our PhD students has personal study space and a computer. There is also communal space for social activity, refreshments and mathematical discussion.

FUNDING

Doctoral training grants and studentships for PhD students in Mathematics are available through the three research councils BBSRC, EPSRC and STFC. A scholarship between £500 and £2000 is also available for all MSc programmes, courtesy of the ET Davies Scholarship. The School offers a number of Graduate Teaching Assistantships. The Graduate School of King’s College London offers a variety of funding opportunities which are listed at http://www.kcl.ac.uk/study/pg/funding/sources/index.aspx.