## The two Cambridge Mathematics departments carry out research of world-class excellence across pure and applied mathematics, mathematical statistics and theoretical physics. Our research covers areas ranging from number theory to cosmology, exploring fundamental and exciting questions to extend the boundaries of discovery. The impact and social contribution of our research includes focusing on some of the most pressing global challenges we face today, from advancing healthcare to tackling climate change.

Research within the Faculty of Mathematics is based within the two departments, the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and the Department of Applied Mathematics and Theoretical Physics (DAMTP). In addition, we host or have strong links with a number of interdisciplinary University research centres in mathematics and related areas.

Developing the future of mathematics through our research students is a vital part of our activity. To find out more about PhD degrees offered by the Faculty of Mathematics, please see the information on research degrees on our Postgraduate Study pages.

### Research in Applied Mathematics and Theoretical Physics

Research in DAMTP is loosely organised into eight broad subject areas: Applied and Computational Analysis; Astrophysics; Geophysics; Fluid and Solid Mechanics; Mathematical Biology; Quantum Information; High Energy Physics; General Relativity and Cosmology. The boundaries between the areas are not rigid and evolve with time.

Many researchers contribute to more than one area and these interconnections are a key factor in the continuing success of DAMTP. Research in each of the subject areas involves collaboration nationally and internationally, and participation in numerous interdisciplinary projects and programmes.

### Research in Pure Mathematics and Mathematical Statistics

Research in DPMMS covers a full spectrum of modern mathematics. Strengths include algebra; algebraic geometry; analysis and partial differential equations; combinatorics; differential geometry and topology; number theory; probability, and statistics.

Many researchers are engaged in exciting work connecting ideas from across the mathematical canon. There are also close links with groups at other universities, which adds to the richness of the local mathematical community.

### Research Centres and Institutes

The following interdisciplinary research centres are either based in or affiliated with the Faculty of Mathematics. There are also strong links between the two Mathematics departments and the Isaac Newton Institute for Mathematical Sciences.