King’s College London

The Complex Systems Modelling MSc course will teach you to apply mathematical techniques in the rapidly developing and exciting interdisciplinary field of complex systems and examine how they apply to a variety of areas including biomedicine, nature, economics and social sciences. You will study innovative modules covering a range of modern theories of complex systems modelling and be taught by world-leading researchers. This research-led course is suitable for graduates who wish to work in research and development in an academic or industrial environment.

Our Mathematics MSc is a wide-ranging course mainly drawing on modules from Pure Mathematics with additional options to study elements of applied mathematics such as Theoretical Physics, Complex Systems and Financial Mathematics. The course is suitable for graduates who wish to pursue an advanced mathematical study pathway with the intention of studying at a PhD level in a mathematical discipline, most likely pure mathematics. You will explore mathematical areas including Algebra, Analysis, Geometry and Number Theory, and there are opportunities to take a broad range of additional modules, allowing you the freedom to develop a study pathway that reflects your interests. You will complete the course in one year, from September to September. King’s is also a member of the University of London and by arrangement, you can enroll in optional modules at other institutions within the University of London, which includes University College London, Queen Mary and others.

The Statistics MSc is aimed to develop a deep knowledge and understanding of statistics and its mathematical foundations, and to enable you to think logically and objectively about data analysis and statistical learning. You will have the opportunity to learn how to apply the most appropriate statistical models to answer practical questions, using modern statistical methods and software. You will learn a wide range of transferable skills, both in data analysis and in how to present and communicate the results. All students on the programme undertake an individual research project which offers the opportunity to think independently about complex data and models. Here you will combine the programming skills and statistical knowledge from the taught modules in order to fit statistical models to real world data. The datasets which will be modelled and analysed arise from many different sources. Examples may include medical data, financial time series, geographic data and data from social networks.

Our Theoretical Physics MSc is a demanding research-informed course that gives you a coherent, comprehensive introduction to the building blocks of modern theoretical physics and mathematical physics and the opportunity to explore more advanced topics. You will study modules covering the foundations of mathematical physics and can choose to study Quantum Field Theory and Advanced Quantum Mechanics. You then have the opportunity to explore a range of innovative optional modules, with topics including Black Holes, String Theory, and Conformal Field Theory. There are also optional modules in Pure Mathematics including Lie Groups and Algebras, and Manifolds as well as modules from the Physics department on the Standard Model and its extensions and Cosmology. You’ll be exposed to a wide range of research techniques and have the opportunity to conduct and write up your own project.

Applied Mathematics includes Disordered Systems, a group at King’s which is at the forefront of research in statistical mechanics of disordered and complex systems. The Financial Mathematics group explore mathematical techniques used in finance which bring together a number of different branches of pure and applied mathematics, including, but not limited to: probability, optimisation, functional analysis, partial differential equations, statistics, geometry, complex systems and numerical analysis.

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Our department has a large number of active and internationally renowned researchers and postdoctoral research fellows. The research groups organise regular seminars, where top-ranking scientists from around the world present new results, which our research students can witness first hand. The research groups for Pure Mathematics encompass Analysis, Geometry, Number Theory and Probability.

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The Statistics Group at King’s College London was founded in 2015 and is continuing to expand. The group has research strengths in the design and analysis of experiments, time series and Markov chain Monte Carlo and sequential Monte Carlo methods.

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The Theoretical Physics Group in the Department of Mathematics is at the international forefront of research and offers PhD’s in string and M-theory, black holes, conformal field theory, supersymmetry, integrability, and other fundamental branches of modern theoretical physics.

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