. We propose to create new capability and capacity for collaborative high power laser-plasma research to underpin the development and application of laser-driven radiation sources, using three new beamlines and experiment stations at the Scottish Centre for the Application of Plasma-based Accelerators, SCAPA. Each of the beamlines will be configured in a unique way and with a focus on a specific category of laser-plasma interactions and secondary sources, to create a complementary suite of dedicated beamlines. This approach is required to enable the development and optimisation of laser-plasma sources from the realms of scientific investigation to real-world applications. It enables long-term investment in the optimisation and stabilisation of the beams and largely eliminates downtime for rebuilding experiments, thus enabling efficient and effective use of high power laser beam time. The equipment will support an extensive research portfolio in laser-plasma physics and multidisciplinary applications, with an emphasis on radiation sources and healthcare applications. The unique properties of laser-driven radiation sources make them attractive both as tools for science (e.g. femtosecond X-ray sources for probing the structure of matter) and for applications in a variety of sectors including: healthcare (e.g. imaging and radiotherapy); industry (e.g. penetrative probing and assay) and energy (e.g. testing the integrity of stored nuclear waste). The strategic development of this field requires a balanced programme of dedicated university-scale and leading-edge national laser facilities. The proposed beamlines will complement existing and planned expansion of national facilities at the Central Laser Facility, providing new capability and capacity to enable UK research groups to remain at the forefront of this research area and help promote international collaboration. The research will be performed collaboratively with groups from across the UK and sustained mainly through collaborative research grants. The new suite of beamlines will promote exchanges between academia and industry, and enable engagement of the UK research community with large international projects, such as the Extreme Light Infrastructure, ELI. It will also provide a unique interdisciplinary training platform for researchers. .

The Scottish Doctoral Training Centre in Condensed Matter Physics, known as the CM-DTC, is an EPSRC-funded Centre for Doctoral Training (CDT) addressing the broad field of Condensed Matter Physics (CMP). CMP is a core discipline that underpins many other areas of science, and is one of the Priority Areas for this CDT call. Renewal funding for the CM-DTC will allow five more annual cohorts of PhD students to be recruited, trained and released onto the market. They will be highly educated professionals with a knowledge of the field, in depth and in breadth, that will equip them for future leadership in a variety of academic and industrial careers. Condensed Matter Physics research impacts on many other fields of science including engineering, biophysics, photonics, chemistry, and materials science. It is a significant engine for innovation and drives new technologies. Recent examples include the use of liquid crystals for displays including flat-screen and 3D television, and the use of solid-state or polymeric LEDs for power-saving high-illumination lighting systems. Future examples may involve harnessing the potential of graphene (the world's thinnest and strongest sheet-like material), or the creation of exotic low-temperature materials whose properties may enable the design of radically new types of (quantum) computer with which to solve some of the hardest problems of mathematics. The UK's continued ability to deliver transformative technologies of this character requires highly trained CMP researchers such as those the Centre will produce. The proposed training approach is built on a strong framework of taught lecture courses, with core components and a wide choice of electives. This spans the first two years so that PhD research begins alongside the coursework from the outset. It is complemented by hands-on training in areas such as computer-intensive physics and instrument building (including workshop skills and 3D printing). Some lecture courses are delivered in residential schools but most are videoconferenced live, using the well-established infrastructure of SUPA (the Scottish Universities Physics Alliance). Students meet face to face frequently, often for more than one day, at cohort-building events that emphasise teamwork in science, outreach, transferable skills and careers training. National demand for our graduates is demonstrated by the large number of companies and organisations who have chosen to be formally affiliated with our CDT as Industrial Associates. The range of sectors spanned by these Associates is notable. Some, such as e2v and Oxford Instruments, are scientific consultancies and manufacturers of scientific equipment, whom one would expect to be among our core stakeholders. Less obviously, the list also represents scientific publishers, software houses, companies small and large from the energy sector, large multinationals such as Solvay-Rhodia and Siemens, and finance and patent law firms. This demonstrates a key attraction of our graduates: their high levels of core skills, and a hands-on approach to problem solving. These impart a discipline-hopping ability which more focussed training for specific sectors can complement, but not replace. This breadth is prized by employers in a fast-changing environment where years of vocational training can sometimes be undermined very rapidly by unexpected innovation in an apparently unrelated sector. As the UK builds its technological future by funding new CDTs across a range of priority areas, it is vital to include some that focus on core discipline skills, specifically Condensed Matter Physics, rather than the interdisciplinary or semi-vocational training that features in many other CDTs. As well as complementing those important activities today, our highly trained PhD graduates will be equipped to lay the foundations for the research fields (and perhaps some of the industrial sectors) of tomorrow.

The role of the SUPA PIPSS Fellow will be to generate new collaborative research and exploitation projects which involve SUPA members, where there is a strong emphasis on knowledge transfer through collaboration with other partners. Although this will be a freestanding role that will prioritise Business Development within targeted market sectors, it will fit within the desired model for future expansion of KT, Project and Venture Support for SUPA activity. To retain focus, a few ambitious but achievable targets will be set for the Fellow. The balance between collaborative working and new venture creation recognises that appropriate KT routes must be created / in some instances this will be through new start up or spin-out companies, while in other circumstances it will be through working with existing businesses. The SUPA PIPSS Fellow will spearhead a new multi-institutional initiative focusing on Knowledge Transfer (KT) for university research that will benefit STFC, the participating organisations and the UK economy as a whole. The Fellow will take advantage of the synergies in research across SUPA, the breadth of commercial connections and the existing support networks to markedly increase KT outcomes.

We propose a Centre for Doctoral Training in Integrative Sensing and Measurement that addresses the unmet UK need for specialist training in innovative sensing and measurement systems identified by EPSRC priorities the TSB and EPOSS . The proposed CDT will benefit from the strategic, targeted investment of >£20M by the partners in enhancing sensing and measurement research capability and by alignment with the complementary, industry-focused Innovation Centre in Sensor and Imaging Systems (CENSIS). This investment provides both the breadth and depth required to provide high quality cohort-based training in sensing across the sciences, medicine and engineering and into the myriad of sensing applications, whilst ensuring PhD supervision by well-resourced internationally leading academics with a passion for sensor science and technology. The synergistic partnership of GU and UoE with their active sensors-related research collaborations with over 160 companies provides a unique research excellence and capability to provide a dynamic and innovative research programme in sensing and measurement to fuel the development pipeline from initial concept to industrial exploitation.

In a consortium led by Heriot-Watt with St Andrews, Glasgow, Strathclyde, Edinburgh and Dundee, this proposal for an "EPSRC CDT in Industry-Inspired Photonic Imaging, Sensing and Analysis" responds to the priority area in Imaging, Sensing and Analysis. It recognises the foundational role of photonics in many imaging and sensing technologies, while also noting the exciting opportunities to enhance their performance using emerging computational techniques like machine learning. Photonics' role in sensing and imaging is hard to overstate. Smart and autonomous systems are driving growth in lasers for automotive lidar and smartphone gesture recognition; photonic structural-health monitoring protects our road, rail, air and energy infrastructure; and spectroscopy continues to find new applications from identifying forgeries to detecting chemical-warfare agents. UK photonics companies addressing the sensing and imaging market are vital to our economy (see CfS) but their success is threatened by a lack of doctoral-level researchers with a breadth of knowledge and understanding of photonic imaging, sensing and analysis, coupled with high-level business, management and communication skills. By ensuring a supply of these individuals, our CDT will consolidate the UK industrial knowledge base, driving the high-growth export-led sectors of the economy whose photonics-enabled products and services have far-reaching impacts on society, from consumer technology and mobile computing devices to healthcare and security. Building on the success of our CDT in Applied Photonics, the proposed CDT will be configured with most (40) students pursuing an EngD degree, characterised by a research project originated by a company and hosted on their site. Recognizing that companies' interests span all technology readiness levels, we are introducing a PhD stream where some (15) students will pursue industrially relevant research in university labs, with more flexibility and technical risk than would be possible in an EngD project. Overwhelming industry commitment for over 100 projects represents a nearly 100% industrial oversubscription, with £4.38M cash and £5.56M in-kind support offered by major stakeholders including Fraunhofer UK, NPL, Renishaw, Thales, Gooch and Housego and Leonardo, as well as a number of SMEs. Our request to EPSRC for £4.86M will support 35 students, from a total of 40 EngD and 15 PhD researchers. The remaining students will be funded by industrial (£2.3M) and university (£0.93M) contributions, giving an exceptional 2:3 cash gearing of EPSRC funding, with more students trained and at a lower cost / head to the taxpayer than in our current CDT. For our centre to be reactive to industry's needs a diverse pool of supervisors is required. Across the consortium we have identified 72 core supervisors and a further 58 available for project supervision, whose 1679 papers since 2013 include 154 in Science / Nature / PRL, and whose active RCUK PI funding is £97M. All academics are experienced supervisors, with many current or former CDT supervisors. An 8-month frontloaded residential phase in St Andrews and Edinburgh will ensure the cohort gels strongly, and will equip students with the knowledge and skills they need before beginning their research projects. Business modules (x3) will bring each cohort back to Heriot-Watt for 1-week periods, and weekend skills workshops will be used to regularly reunite the cohort, further consolidating the peer-to-peer network. Core taught courses augmented with specialist options will total 120 credits, and will be supplemented by professional skills and responsible innovation training delivered by our industry partners and external providers. Governance will follow our current model, with a mixed academic-industry Management Committee and an independent International Advisory Board of world-leading experts.