This Centre for Doctoral training in Industrially Focused Mathematical Modelling will train the next generation of applied mathematicians to fill critical roles in industry and academia. Complex industrial problems can often be addressed, understood, and mitigated by applying modern quantitative methods. To effectively and efficiently apply these techniques requires talented mathematicians with well-practised problem-solving skills. They need to have a very strong grasp of the mathematical approaches that might need to be brought to bear, have a breadth of understanding of how to convert complex practical problems into relevant abstract mathematical forms, have knowledge and skills to solve the resulting mathematical problems efficiently and accurately, and have a wide experience of how to communicate and interact in a multidisciplinary environment. This CDT has been designed by academics in close collaboration with industrialists from many different sectors. Our 35 current CDT industrial partners cover the sectors of: consumer products (Sharp), defence (Selex, Thales), communications (BT, Vodafone), energy (Amec, BP, Camlin, Culham, DuPont, GE Energy, Infineum, Schlumberger x2, VerdErg), filtration (Pall Corp), finance (HSBC, Lloyds TSB), food and beverage (Nestle, Mondelez), healthcare (e-therapeutics, Lein Applied Diagnostics, Oxford Instruments, Siemens, Solitonik), manufacturing (Elkem, Saint Gobain), retail (dunnhumby), and software (Amazon, cd-adapco, IBM, NAG, NVIDIA), along with two consultancy companies (PA Consulting, Tessella) and we are in active discussion with other companies to grow our partner base. Our partners have five key roles: (i) they help guide and steer the centre by participating in an Industrial Engagement Committee, (ii) they deliver a substantial elements of the training and provide a broad exposure for the cohorts, (iii) they provide current challenges for our students to tackle for their doctoral research, iv) they give a very wide experience and perspective of possible applications and sectors thereby making the students highly flexible and extremely attractive to employers, and v) they provide significant funding for the CDT activities. Each cohort will learn how to apply appropriate mathematical techniques to a wide range of industrial problems in a highly interactive environment. In year one, the students will be trained in mathematical skills spanning continuum and discrete modelling, and scientific computing, closely integrated with practical applications and problem solving. The experience of addressing industrial problems and understanding their context will be further enhanced by periods where our partners will deliver a broad range of relevant material. Students will undertake two industrially focused mini-projects, one from an academic perspective and the other immersed in a partner organisation. Each student will then embark on their doctoral research project which will allow them to hone their skills and techniques while tackling a practical industrial challenge. The resulting doctoral students will be highly sought after; by industry for their flexible and quantitative abilities that will help them gain a competitive edge, and by universities to allow cutting-edge mathematical research to be motivated by practical problems and be readily exploitable.

Doctoral Training Partnerships: a range of postgraduate training is funded by the Research Councils. For information on current funding routes, see the common terminology at www.rcuk.ac.uk/StudentshipTerminology. Training grants may be to one organisation or to a consortia of research organisations. This portal will show the lead organisation only.

Soft matter and functional interfaces are ubiquitous! Be it manufactured plastic products (polymers), food (colloids), paint and other decorative coatings (thin films and coatings), contact lenses (hydrogels), shampoo and washing powder (complex mixtures of the above) or biomaterials such as proteins and membranes, soft matter and soft matter surfaces and interfaces touch almost every aspect of human activity and underpin processes and products across all industrial sectors - sectors which account for 17.2% of UK GDP and over 1.1M UK employees (BIS R&D scoreboard 2010 providing statistics for the top 1000 UK R&D spending companies). The importance of the underlying science to UK plc prompted discussions in 2010 with key manufacturing industries in personal care, plastics manufacturing, food manufacturing, functional and performance polymers, coatings and additives sectors which revealed common concerns for the provision of soft matter focussed doctoral training in the UK and drove this community to carry out a detailed "gap analysis" of training provision. The results evidenced a national need for researchers trained with a broad, multidisciplinary experience across all areas of soft matter and functional interfaces (SOFI) science, industry-focussed transferable skills and business awareness alongside a challenging PhD research project. Our 18 industrial partners, who have a combined global work force of 920,000, annual revenues of nearly £200 billion, and span the full SOFI sector, emphasized the importance of a workforce trained to think across the whole range of SOFI science, and not narrowly in, for example, just polymers or colloids. A multidisciplinary knowledge base is vital to address industrial SOFI R&D challenges which invariably address complex, multicomponent formulations. We therefore propose the establishment of a CDT in Soft Matter and Functional Interfaces to fill this gap. The CDT will deliver multidisciplinary core science and enterprise-facing training alongside PhD projects from fundamental blue-skies science to industrially-embedded applied research across the full spectrum of SOFI science. Further evidence of national need comes from a survey of our industrial partners which indicates that these companies have collectively recruited >100 PhD qualified staff over the last 3 years (in a recession) in SOFI-related expertise, and plan to recruit (in the UK) approximately 150 PhD qualified staff members over the next three years. These recruits will enter research, innovation and commercial roles. The annual SOFI CDT cohort of 16 postgraduates could be therefore be recruited 3 times over by our industrial partners alone and this demand is likely to be the tip of a national-need iceberg.

Doctoral Training Partnerships: a range of postgraduate training is funded by the Research Councils. For information on current funding routes, see the common terminology at www.rcuk.ac.uk/StudentshipTerminology. Training grants may be to one organisation or to a consortia of research organisations. This portal will show the lead organisation only.

Doctoral Training Partnerships: a range of postgraduate training is funded by the Research Councils. For information on current funding routes, see the common terminology at www.rcuk.ac.uk/StudentshipTerminology. Training grants may be to one organisation or to a consortia of research organisations. This portal will show the lead organisation only.