Quadrature (or in higher dimensions cubature) is a classical method for calculating areas and historically related to the development of the integral calculus. In its modern form it goes back to the work of Gauss and refers to the approximation of the definite integral of a function by a weighted sum of function values at a finite number of carefully chosen points. The work of Lyons and Victoir has combined this fundamental idea with the machinery of modern stochastic analysis and applied it on infinite dimensional path spaces. This has resulted in a novel particle method that can be used to track the evolution of a large class of random systems. The approximation convergences rapidly and is robust as the particles evolve unlike in classical methods (Euler) along admissible trajectories. Moreover, while the underlying ideas are probabilistic the approximation is deterministic. In filtering problems, we aim to make reasonable inferences about the evolution of complex phenomena based on partial observations of the system. Such problems are natural and come in virtually all shapes and sizes: from the focus of a camera in a mobile tracking a moving object, via the imaging produced by a modern MRI scanner in hospital, to the prediction of next week's weather by means of a supercomputer. The aim of the proposed research is to help to transform cubature on Wiener space from a promising and novel approach to numerical integration "in the lab" to a powerful method that can easily be adopted by practitioners to help solve such problems that impact our lives. The proposed research will bring together ideas from probability, numerical analysis and algebra to gain a more systematic understanding of the construction of cubatures on path space. These cubatures result in highly efficient particle methods that combine rapid convergence with transparent bounds on the complexity of the particle descriptions of the evolving measures. As part of this project we want to lower the hurdle for other researchers working in academia and industry to adopt our ideas. Hence, we propose to develop efficient and accessible C++ implementations of the numerical methods and to contribute them to the existing open source computational rough path library.

Against the backdrop of the dramatic social and economic divides characterizing contemporary South Africa, my research on Zionist Christianity offers the South African public an in-depth example of religion's role in pioneering equitable societies. My AHRC Fellowship examines the democratic resources of a transatlantic Protestant faith healing movement called Zionism. I show that in both the United States and South Africa, the Zionist church has been favoured by working-class individuals marginalized by those in power and who, in their conversion to Zionism, found new possibilities for self-assertion. For example, its doctrine encouraged adherents to eschew the expertise of medical professionals in favour of the simple prayer of ordinary people. By the early twentieth century, Zionism had been transmitted to South Africa via American missionaries. Its teachings regarding the equality of all humanity - regardless of race, class or education - meant Zionism found great success amongst black South Africans seeking to claim status and dignity amidst the strictures of a racially segregated state. While the movement declined in the USA, Zionism is today South Africa's largest religious group, with over 12 million believers. I argue Zionism continues to powerfully shape visions of egalitarian society within contemporary South Africa. While conducting research in South Africa, I encountered the prize-winning photographer, Sabelo Mlangeni, himself a life-long Zionist believer. Over the past year, Mlangeni and I have developed a proposal for a photographic exhibition at the renowned Wits Art Museum (WAM) in Johannesburg, displaying Mlangeni's 60 black and white photographs on contemporary Zionists. The exhibition will be entitled Amakholwa, isiZulu for 'The Believers'. The photographs foreground the intimate, affectionate ties between Zionist believers. Mlangeni uses close-up perspectives and full-frontal portraits to portray the bonds of support between fellow believers. These photographs also emphasize the egalitarian nature of Zionist community; they depict 'the believers' as a group of people amongst whom clerical hierarchies are largely invisible. The overall sense is of a horizontal gathering of young men and women. In this way, Mlangeni's photographs engage with my research's exploration of the importance of religious affiliation in transcending social divides by reconstituting individuals as 'believers', erasing former divisions of class, ethnicity and socio-economic status. In conversation with WAM, the project partner, I have identified four user communities who will benefit from creatively engaging them with the exhibition and the research underpinning it. These include 1000 secondary school students, 200 Zionist believers, 40 photography students and at least 3000 members of the Johannesburg public. With respect to the school audience, we have identified a need for high-quality discourse on the role of Zionism in the public sphere as this is largely absent from religious education curricula. The second audience - Zionist believers - would benefit from a visual representation of their religious identity by an 'insider' voice such as Mlangeni. Zionists' knowledge of their origins would be enhanced through their engagement with the exhibition's text panels and the catalogue. Photography students in South Africa need teaching on the intersection between photographic practice and depiction of religious life, while the South African public would benefit from thoughtful commentary on the significance of religious communities such as Zionism (which receives little coverage in the national media) for transcending social divides. These four audiences will be engaged via walk-arounds, a photography workshop and participation in religious rituals dynamically interacting with the exhibition. Audiences' engagement will be assessed through follow-up questionnaires, focus groups and media monitoring.

The aim of the project is to grow capacity for cross-sector design collaboration in placemaking through the use of a creative approach called 'cross-pollination'. The approach was developed and tested in a variety of research-based and practice-based projects in different settings and has proved successful in bringing people together to share and connect their assets (human, economic, cultural, social) as a basis for forming partnerships with the capacity to lead design initiatives. The idea is to scale up collaboration by providing spaces that can enable and empower placemaking actors (local authorities, civic sector organisations, community groups, academic institutions, cultural institutions and businesses) to incubate cross-sector collaborative design initiatives in local areas. The project will engage with three locally based partners who represent three different types of stakeholders or routes to placemaking in different locations in the three nations of Wales, Scotland and England: a local authority (Merthyr Tydfil in Wales), a place commission (Glasgow in Scotland) and a business improvement district (Clapham Junction in England). The activities of the project will help capture and share local knowledge, develop skills and capacity among individuals and organisations, and deliver local impacts.

Compressed Air Energy Storage (CAES) uses compressors to produce pressurised air while excessive power is available; the pressurised air is then stored in air reservoirs and will be released via a turbine to generate electricity when needed. Compared with other energy storage technologies, CAES has some highly attractive features including large scale, long duration, and low cost. However, its low round trip energy efficiency (the best CAES plant currently in operation has a 60.2% round trip efficiency) and low energy density cause major concerns for commercial deployment. The conversion of electricity to heat and storing the heat via thermal storage is a relatively mature and a highly efficient technology; but the conversion of the stored thermal energy back to electricity has a low energy efficiency (less than 40%) through (conventional and organic) Rankine cycles, thermoelectric generators, and recently proposed thermophotovoltaics. The project aims to develop a Hi-CAES technology, which integrates the CAES with high-temperature thermal energy storage (HTES) to achieve high energy conversion efficiency, high energy and power density, and operation flexibility. The technology uses HTES to elevate CAES power rate and also convert high-temperature thermal energy to electricity using compressed air - a natural working fluid. The proposed technology is expected to increase CAES's electricity-to-electricity efficiency to over 70% and overall energy efficiency to over 90% with additional energy supply for heating and cooling. The proposed Hi-CAES will also increase the storage energy density and system power rate significantly. Meanwhile, the technology can convert the stored thermal energy into electrical power with a much higher energy conversion efficiency and lower system cost than current thermoelectrical energy storage technologies. With the integration of HTES with CAES, the system dynamic characteristics and operation flexibility can be much improved in terms of charging and discharging processes. This will place Hi-CAES in a better financial position as it can generate revenue through certain high market value fast response grid balance service. The goal of the project is to improve both the CAES efficiency and energy density considerably through the integration with a HTES system. The research will address the technical and scientifically challenges for realisation of the Hi-CAES system and societal challenges of deep power system decarbonisation.

'Language Acts and Worldmaking' argues that language is a material and historical force, not a transparent vehicle for thought. Language empowers us, by enabling us to construct our personal, local, transnational and spiritual identities; it can also constrain us, by carrying unexamined ideological baggage. This dialectical process we call 'worldmaking'. If one language gives us a sense of place, of belonging, learning another helps us move across time and place, to encounter and experience other ways of being, other histories, other realities. Thus, our project challenges a widely held view about ML learning. While it is commonly accepted that languages are vital in our globalised world, it is too often assumed that language learning is merely a neutral instrument of globalisation-a commercialised skill set, one of those 'transferable skills' that are part of a humanities education. Yet ML learning is a unique form of cognition and critical engagement. Learning a language means recognising that the terms, concepts, beliefs and practices that are embedded in it possess a history, and that that history is shaped by encounters with other cultures and languages. To regenerate and transform ML we must foreground language's power to shape how we live, and realise the potential of ML learning to open pathways between worlds past and present. Our project realises this potential by breaking down the standard disciplinary approaches that constrain Spanish and Portuguese within the boundaries of national literary and cultural traditions. We promote research that explores the vast multilingual and multicultural terrain constituted by the Hispanic and Lusophone worlds, with their global empires and contact zones in Europe, the Americas, and Africa. Understanding Iberia as both the originator and the product of global colonising movements places Iberian Studies on a comparative, transnational axis and emphasizes diasporic identities, historic postcolonial thinking, modern decolonial movements and transcultural exchange. Our research follows five paths linked by an interest in the movement of peoples and languages across time and place. 'Travelling concepts' researches the stories and vocabularies that construct Iberia as a cultural crossroads, a border between East and West, a homeland for Jews, Muslims and Christians. We examine the ideological work performed by the cultural semantics Iberia, Al-Andalus, and Sefarad in Spanish, Portuguese, English, French, German, Arabic, Hebrew and ladino (Judeo-Spanish), from the Middle Ages to the present, in Europe and beyond. 'Translation acts' turns to the theatrical narrative, investigating how words, as performed speech and embodied language create a world on stage. Through translation, we travel across time and space, interrogating the original words and bringing them to our time and place. This strand exploits theatre's capacity to (re)generate known and imagined worlds. 'Digital Modelling as an act of translation' examines the effects of digital, mobile and networked technology upon our concept of 'global' culture, and what kinds of 'translation' are enacted as information enters and leaves the digital sphere in the context of Hispanic and Lusophone cultures. 'Loaded Meanings and their history' demonstrates the centrality of historical linguistics to cultural understanding, by investigating the process and significance of the learned borrowings in Ibero-Romance. Such borrowings acquire 'loaded' meanings that reflect and shape people's attitudes and worldviews. Finally, the agents of language learning-teachers-are the focus of the fifth strand, 'Diasporic Identities and the Politics of Language Teaching'. This strand analyzes the life stories of native teachers of Spanish, Portuguese and Catalan to identify the vocabularies and narrative patterns that help them make sense of and interrogate their professional and personal identities as transnational cultural agents in the UK.