Applied and Computational Analysis (ACA) at DAMTP spans a wide range of themes in partial differential equations, numerical analysis, dynamical systems and integrable systems. Its underlying organising principle is an inquiry into issues of interest in applications of mathematics and forging tools and methodology that are relevant in applications.

• Cantab Capital Institute for the Mathematics of Information
• Numerical Analysis
• Cambridge Centre for Analysis (Doctoral Training Centre)
• Cambridge Image Analysis
• Applied Functional and Harmonic Analysis

Research interests in this area include: astrophysical fluid  dynamics, MHD and plasma processes applied to solar physics, astrophysical discs, planet formation, disc planet interactions, and extrasolar planetary systems. There is strong collaboration with the Institute of Astronomy and many international collaborations.

 

• Astrophysics

This extended group addresses the science of atmosphere, cryosphere, ocean and solid Earth. DAMTP has been active in these areas since its formation in 1959, largely through staff who combine interests in fundamental fluid or solid mechanics with geophysical applications. As the relevant fundamental areas have matured DAMTP staff have naturally broadened their research further into application areas or, in some cases, have played major roles in establishing new 'fundamental' areas, such as the fluid mechanics of solidification and freezing.

• Atmosphere-Ocean Dynamics
• Theoretical Geophysics

 

The research of this large group extends through fluid mechanics, granular flow and solid mechanics, and an extremely wide range of applications. Members of this group are active in experimental work in the GK Batchelor Laboratory. Overall the main approach to solving scientific and industrial problems is to seek physical understanding through construction and (often asymptotic) analysis of the simplest mathematical model that is consistent both with the laws of physics and with experimental observation.

 

• Astrophysical Fluid Dynamics
• Atmosphere-Ocean Dynamics
• Biological Physics & Mechanics
• Environmental and Industrial Fluid Dynamics
• G.K. Batchelor Laboratory
• High-Reynolds-Number Fluid Flow
• Quantum Fluids
• Soft Matter
• Solid Mechanics
• Theoretical Geophysics
• Waves Group

Research areas include biomechanics, biological physics, epidemiology and computational neuroscience. Part of the group plays a major role in the CCBI which is a recent cross-School initiative, hosted in DAMTP, to bring together the exceptional strengths of Cambridge in medicine, biology, mathematics and the physical sciences.

• Biological Physics & Mechanics
• Computational Biology
• Disease Dynamics
• Machine Learning and Artificial Intelligence
• Cambridge Centre for AI in Medicine (CCAIM)

Activities of this group are focused in the CQIF. Research topics include quantum cryptography (a particular strength), quantum computing algorithms, quantum information theory, quantum control, and modelling the implementation of quantum computers in physical systems.

• Quantum Information

This is one of two large groups in theoretical physics, the other being the General Relativity and Cosmology group. Advances on several fronts have led to a breakdown of the historical divisions between the two groups and several staff members are members of both. The group is active in Particle Physics Phenomenology, Quantum Field Theory, String Theory, and Lattice Field Theory. (Particle physics related to the Big Bang and very early universe are covered under General Relativity and Cosmology.)

• High Energy Physics

The interests and membership of this large group overlap with those of the High Energy Physics group. It hosts the COSMOS supercomputer, a national facility dedicated to studies of early Universe physics and the new Centre for Theoretical Cosmology (CTC). Despite its infancy the CTC has already hosted several conferences and workshops, including 'The Very Early Universe; 25 years on'. The group is active in numerical relativity, supergravity, discrete gravity, M-theory/string theory and cosmology.

• Relativity & Gravitation
• Cambridge Centre for Theoretical Cosmology (CTC)