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Research areas

An A-Z list of all research areas. On each research area page you will find a description of the area, along with details of and reasons for the strategic actions EPSRC intends to take. To help digest the information we have introduced visual icons to summarise particular highlights in the strategic focus of each research area. The Icons are not intended to cover all potential topics. Please use the filters to customise the listing on this page.

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Algebra stems from the study of equations, their solutions and associated operations and symmetries, including group theory, representation theory and ring theory.

The reproduction or surpassing of abilities (in computational systems) that would require 'intelligence' if humans were to perform them.

Research into coastal/waterway structures, management and flood defences, estuarine engineering, reservoir/dam engineering and hydrodynamics.

EPSRC has made the decision to embed Complexity Science across the EPSRC portfolio, in order to better emphasise the importance of a systems approach.

Research into mathematical approaches to the modelling and study of continuous media.

All aspects of fundamental fluid dynamics research applied to aerodynamics, hydrodynamics, turbulence and areas relevant to process engineering.

The study of shape and form, including algebraic geometry, algebraic topology, geometric topology and geometric group theory, differential geometry and geometric analysis.

Logic includes model theory, recursion theory, proof theory and set theory. Combinatorics is concerned with the study of discrete structures such as graphs and hypergraphs.

Understanding, modelling and processing ceramics with respect to the properties, performance, behaviour and development of novel materials.

Understanding, modelling and processing composites with respect to the properties, performance, behaviour and development of novel materials.

Understanding, modelling and processing of metals and alloys with respect to the properties and material behaviour and development of novel materials.

Quantifying change, with a key role played by fundamental notions of continuity and approximation.

Mathematical Biology covers research into the development and application of state-of-the-art mathematical or statistical tools and techniques to investigate biological processes and systems, including those of relevance to the medical sciences.

Developing new mathematics inspired by, or relevant to, physics.

Research into the mathematical treatment of systems which do not satisfy the principle of superposition (i.e. systems where the outputs are not directly proportional to the inputs).

The study of the properties of integers, using the tools of modern mathematics to address many basic unanswered questions.

Research into the development, analysis and implementation of algorithms that harness numerical approaches to mathematical problems.

Development and application of advanced analytical methods to support improved decision-making, especially in relation to the operation of complex and uncertain systems.

Development, analysis, monitoring and optimisation of mechanical structures and systems.

Quantum devices, components and systems involve the creation, control and manipulation of quantum states to design systems with functionality that could not be achieved in a non-quantum world.

Theoretical and experimental study of superfluids (typically helium), encompassing investigation of a range of their properties.

Understanding and control of the behaviour and interactions of light and matter in terms of quantum mechanics in optical and atomic systems, and the fundamental science of generation, use and manipulation of quantum information.

Statistical methodology and development of new probabilistic techniques inspired by applications.

The application of engineering tools and principles to design and engineer novel biologically-based parts, devices and systems that do not exist in the natural world, as well as the redesign of existing natural biological systems for useful purposes.

Explores the fundamental and foundational aspects of computers and computation.

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