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.

We are in a biodiversity crisis. A million species of plants and animals are threatened with global extinction, and wildlife populations across much of the planet have been dramatically reduced, perhaps by as much as a half in recent decades. This is of profound concern because biodiversity underpins human existence. Biodiversity provides the foundation of our economies, livelihoods, food security, health and quality of life. Increasing numbers of people, organisations and governments recognise the need to reverse the perilous state of our ecological inheritance. However, while there is unprecedented willingness to act, what we do not know is what will work most effectively to renew biodiversity and ensure continued delivery of its benefits. The Renewing biodiversity through a people-in-nature approach (RENEW) programme will develop solutions to the renewal of biodiversity. We will work, with a sense of urgency, to reshape understanding and action on biodiversity renewal across scales, creating knowledge at the cutting edge of global debates and policy development, and influencing national institutions, communities and individuals. We know that understanding of, and action on, renewal must take a step change and we will focus on the agency of people in nature, both as part of the problem and as the solution. We focus on a set of challenges: how popular support for biodiversity renewal can be harnessed; how populations that are disengaged, disadvantaged, or disconnected from nature can benefit from inclusion in solutions development; how renewal activities can be designed and delivered by diverse sets of land-managers and interest groups; and how biodiversity renewal can most effectively be embedded in finance and business activities (as has occurred with carbon accounting and climate change). This sits alongside the scientific and technical development necessary to underpin solutions options. Biodiversity renewal is a complex and whole system problem. The solutions require the creation of a new kind of inclusive and diverse research community, one that transcends traditional boundaries between the disciplines needed to tackle the environmental crises of the Anthropocene. Solutions also need to address the inequalities and lack of diversity found in current renewal practices. RENEW has therefore prioritised partnership building, to allow us to combine research with experiment, learning, sharing, outreach and impact, across relevant organisations and wider communities. Our approach means that practical impact is guaranteed. With the National Trust as co-owners of RENEW, we will have significant reach through their membership, outreach programs and public voice. Alongside other key partners in RENEW, our links are responsible for or have influence over much of the UK landscape in which biodiversity renewal activities need to occur. We will use the many landscape-scale nature activities currently underway (or planned in the near future) to develop learning, as if they were 'real time' experiments. The UK is one of the most biodiversity depleted countries in the world. Our ways of working in RENEW, the knowledge we develop, and the solutions we propose, will be of international importance. The lessons we learn will enable future biodiversity researchers and practitioners around the world to do better science, and deliver fairer outcomes.

Criminal use of the national network infrastructure is commonplace: blackmail, and phishing (social engineering) alone are significant in economic terms. These activities exploit network hosts that have been previously subverted, by attacks that are becoming increasingly sophisticated. Existing Intrusion Detection Systems (IDSs) are unable to detect new or subtle attacks, and deploying IDS sensors in higher volumes results in high report volumes, but little more effectiveness. This project will show that by taking a system design approach to the choice and configuration of sensors, together with network deployment strategies that allow flexible sensor placement, it is possible to substantially improve the detection of subtle attacks. This work does not focus on improvements to individual intrusion detection components; but rather exploits the synergy that can be obtained by combining the strengths of different types of sensor, in a holistic approach to intrusion management design.

Climate and environmental (CE) risks (CER) to our economy and society are accelerating. CER include climate-related physical risks such as floods, storms, or changing growing seasons; climate-related transition risks such as carbon pricing and climate litigation; and environmental risks such as biodiversity loss. It is now well accepted that CER can impact asset values across multiple sectors and pose a threat to the solvency of financial institutions (FIs). This can cause cascading effects with the potential to undermine financial stability. The adoption of CER analytics will ensure that CE risks can be properly measured, priced, and managed by individual FIs and across the financial system. This is also a necessary condition to ensure that capital is allocated by FIs towards technologies, infrastructure, and business models that lower CER, which are also those required to deliver the net zero carbon transition, climate resilience, and sustainable development. These twin tracks - greening finance and financing green - are both enabled by CER analytics being appropriately used by FIs. The UK is a world-leader in Green Finance (GF). UK FIs have played a key role in GF innovation. Yet, despite these advances and leadership in almost every aspect of GF, UK FIs cannot secure the data and analytics needed to properly measure and manage their exposures to CER. While the last decade has seen the exponential growth of CE data, as well as improved analytics and methods, often produced by world-leading UK science, the vast majority of this has not found its way into FI decision-making. Our vision for CERAF is to establish a new national centre to resolve this disconnect. CERAF aims to enable a step-change in the provision and accessibility of data, analytics, and guidance and accelerate the integration of CER into products and decisions by FIs to manage CER risks and drive efficient and sustainable investment decisions, thereby delivering the following impacts: - Enhance the solvency of individual FIs in the UK and globally and so contribute to the resilience of the global financial system as a whole for all, as well the efficient pricing and reallocation of capital away from assets at risk to those that are more resilient. - Underpin the development and the growth of UK GF-related products and services. - Enable a vibrant ecosystem of UK enterprises providing CER analytics and realise the opportunity for UK plc of being a world-leader in the creation and provision of CER services. Our vision is that CERAF will be the nucleus of a new national centre established to deliver world-leading research, information, and innovation to systematically accelerate the adoption and use of CER data and analytics by FIs and to unlock opportunities for the UK to lead internationally in delivering CER services to support advancements in greening finance and financing green globally It aims to overcome the following barriers: 1) Making existing data on hazards, vulnerabilities, and exposures more accessible and useable for FIs, with clearly communicated confidence and with analytics that does not yet exist being secured; 2) Consistency and standards to reduce fragmentation, facilitate innovative products and enable the efficient flow and use of data; 3) Assurance and suitability are needed to understand which CER analytics are best suited for particular uses and provide transparency into underlying data and methodologies, so that CER analytics can be trusted and used; 4) Unlocking innovation through supporting FIs to test new approaches in a lower-risk way; and 5) Building capability, knowledge, and skills within FIs to analyse and interpret CER data. Resolving these barriers is a necessary condition for repricing capital and avoiding its misallocation, and achieving the UK's ambitions on GF.

Observed, Strategic, sustained action is now needed to avoid further negative consequences of climate change and to build a greener, cleaner and fairer future. According to the Intergovernmental Panel on Climate Change the rise in global temperature is largely driven by total carbon dioxide emissions over time. In order to avoid further global warming, international Governments agreed to work towards a balance between emissions and greenhouse gas removal (GGR), known 'net zero', in the Paris Agreement. In June 2019 the UK committed to reaching net zero emissions by 2050, making it the first G7 country to legislate such a target. Transitioning to net zero means that we will have to remove as many emissions as we produce. Much of the focus of climate action to date has been on reducing emissions, for example through renewable power and electric vehicles. However, pathways to net zero require not just cutting fossil fuel emissions but also turning the land into a net carbon sink and scaling up new technologies to remove and store greenhouse gases. This will require new legislation to pave the way for investment in new infrastructure and businesses expected to be worth billions of pounds a year within 30 years. This challenge has far-reaching implications for technology, business models, social practices and policy. GGR has been much less studied, developed and incentivised than actions to cut emissions. The proposed CO2RE Hub brings together leading UK academics with a wide range of expertise to co-ordinate a suite of GGR demonstration projects to accelerate progress in this area. In particular the Hub will study how we can (1) reduce technology costs so that GGR becomes economically viable; (2) ensure industry adopts the concept of net zero in a way that will maintain and create jobs; (3) put in place sensible policy incentives; (4) make sure there is social license for GGR (unlike fracking or nuclear); (5) set up regulatory oversight of environmental sustainability and risks of GGR; (6) understand what is required to achieve GGR at large scale and (7) guarantee there are the skills and knowledge required for all this to happen. Building on extensive existing links to stakeholders in business, Government and NGOs, the Hub will work extensively with everyone involved in regulating and delivering GGR to ensure our research provides solutions to strategic priorities. We will also encourage the teams working on demonstrator technologies to think responsibly about the risks, benefits and public perceptions of their work and consider the full environmental, social and economic implications of implementation from the outset. CO2RE will seek to bring the GGR community in the UK as a whole closer together, functioning as a gateway to UK inter-disciplinary research expertise on GGR. We will inform, and stay informed, about the latest developments nationally and internationally, and reach out to engage the wider public. In doing so we will be able to respond to a rapidly evolving landscape recognising that technical and social change are not separate, but happen together. To accelerate and achieve meaningful change, we will be guided by consultation with key decision-makers and the general public, and set up a £1m flexible fund to respond to priorities that emerge with the help of the wider UK academic community. Ultimately we will help the UK and the world understand how GGR can be scaled up responsibly as part of climate action to meet the ambition of net zero.