Topology is a particular study of the spatial structure of objects, based on counting discrete properties, such as the number of holes and bridges in a sponge. Whichever way the sponge is stretched or squeezed, these numbers stay the same. In fact, the elastic properties of the sponge depend on this structure. It turns out that topological properties like this play a role in the physical properties of certain materials, such as the way they conduct electricity or how light propagates through them. This has led to an explosion of research and development into new kinds of materials with unprecedented properties, designed using fundamental physical and mathematical principles which can be fabricated and, in the future, manufactured on a large scale. We will train the first cohort of doctoral topological scientists, who will have a broad expertise in topological science and design, focused towards the development of new topological materials that address the needs of industry. Drawn from mathematically-informed backgrounds including physics, engineering and materials science, they will develop a broad technical appreciation of topological design within all of these disciplines, and gain research experience in mini-projects in theoretical and experimental groups. Their main PhD research project can be with supervisors drawn from all academic Schools in the College of Engineering and Physical Sciences at the University of Birmingham, in partnership with our wide range of partners from industry. This technical education will be entwined with a programme of transferable skills developing the critical skills of innovation, entrepreneurship and responsible innovation. The academic leadership of this CDT has co-created the training programme in collaboration with a range of industrial partners who will contribute to the directions of the research projects, provide internships and help the students and academic supervisors focus on the needs of end users in their research. These partners will not only be drawn from relevant industries, such as communications, manufacturing and defence sectors, but more widely from knowledge industries including software developers and commercialisation lawyers. The resulting CDT will be a beacon for cross-disciplinary research across the physical sciences and spearheading academic-industrial partnership over the coming decades as topological design becomes a crucial principle for the development of future technologies, underpinning the future prosperity of the UK.

The Quantum Technology Hub in Sensors and Timing, a collaboration between 7 universities, NPL, BGS and industry, will bring disruptive new capability to real world applications with high economic and societal impact to the UK. The unique properties of QT sensors will enable radical innovations in Geophysics, Health Care, Timing Applications and Navigation. Our established industry partnerships bring a focus to our research work that enable sensors to be customised to the needs of each application. The total long term economic impact could amount to ~10% of GDP. Gravity sensors can see beneath the surface of the ground to identify buried structures that result in enormous cost to construction projects ranging from rail infrastructure, or sink holes, to brownfield site developments. Similarly they can identify oil resources and magma flows. To be of practical value, gravity sensors must be able to make rapid measurements in challenging environments. Operation from airborne platforms, such as drones, will greatly reduce the cost of deployment and bring inaccessible locations within reach. Mapping brain activity in patients with dementia or schizophrenia, particularly when they are able to move around and perform tasks which stimulate brain function, will help early diagnosis and speed the development of new treatments. Existing brain imaging systems are large and unwieldy; it is particularly difficult to use them with children where a better understanding of epilepsy or brain injury would be of enormous benefit. The systems we will develop will be used initially for patients moving freely in shielded rooms but will eventually be capable of operation in less specialised environments. A new generation of QT based magnetometers, manufactured in the UK, will enable these advances. Precision timing is essential to many systems that we take for granted, including communications and radar. Ultra-precise oscillators, in a field deployable package, will enable radar systems to identify small slow-moving targets such as drones which are currently difficult to detect, bringing greater safety to airports and other sensitive locations. Our world is highly dependent on precise navigation. Although originally developed for defence, our civil infrastructure is critically reliant on GNSS. The ability to fix one's location underground, underwater, inside buildings or when satellite signals are deliberately disrupted can be greatly enhanced using QT sensing. Making Inertial Navigation Systems more robust and using novel techniques such as gravity map matching will alleviate many of these problems. In order to achieve all this, we will drive advanced physics research aimed at small, low power operation and translate it into engineered packages to bring systems of unparalleled capability within the reach of practical applications. Applied research will bring out their ability to deliver huge societal and economic benefit. By continuing to work with a cohort of industry partners, we will help establish a complete ecosystem for QT exploitation, with global reach but firmly rooted in the UK. These goals can only be met by combining the expertise of scientists and engineers across a broad spectrum of capability. The ability to engineer devices that can be deployed in challenging environments requires contributions from physics electronic engineering and materials science. The design of systems that possess the necessary characteristics for specific applications requires understanding from civil and electronic engineering, neuroscience and a wide range of stakeholders in the supply chain. The outputs from a sensor is of little value without the ability to translate raw data into actionable information: data analysis and AI skills are needed here. The research activities of the hub are designed to connect and develop these skills in a coordinated fashion such that the impact on our economy is accelerated.