OpenDreamKit will deliver a flexible toolkit enabling research groups to set up Virtual Research Environments, customised to meet the varied needs of research projects in pure mathematics and applications and supporting the full research life-cycle from exploration, through proof and publication, to archival and sharing of data and code. OpenDreamKit will be built out of a sustainable ecosystem of community-developed open software, databases, and services, including popular tools such as LinBox, MPIR, Sage(sagemath.org), GAP, PariGP, LMFDB, and Singular. We will extend the Jupyter Notebook environment to provide a flexible UI. By improving and unifying existing building blocks, OpenDreamKit will maximise both sustainability and impact, with beneficiaries extending to scientific computing, physics, chemistry, biology and more and including researchers, teachers, and industrial practitioners. We will define a novel component-based VRE architecture and the adapt existing mathematical software, databases, and UI components to work well within it on varied platforms. Interfaces to standard HPC and grid services will be built in. Our architecture will be informed by recent research into the sociology of mathematical collaboration, so as to properly support actual research practice. The ease of set up, adaptability and global impact will be demonstrated in a variety of demonstrator VREs. We will ourselves study the social challenges associated with large-scale open source code development and of publications based on executable documents, to ensure sustainability. OpenDreamKit will be conducted by a Europe-wide demand-steered collaboration, including leading mathematicians, computational researchers, and software developers long track record of delivering innovative open source software solutions for their respective communities. All produced code and tools will be open source.

The terahertz (THz) frequency region within the electromagnetic spectrum, covers a frequency range of about one hundred times that currently occupied by all radio, television, cellular radio, Wi-Fi, radar and other users and has proven and potential applications ranging from molecular spectroscopy through to communications, high resolution imaging (e.g. in the medical and pharmaceutical sectors) and security screening. Yet, the underpinning technology for the generation and detection of radiation in this spectral range remains severely limited, being based principally on Ti:sapphire (femtosecond) pulsed laser and photoconductive detector technology, the THz equivalent of the spark transmitter and coherer receiver for radio signals. The THz frequency range therefore does not benefit from the coherent techniques routinely used at microwave/optical frequencies. Our programme grant will address this. We have recently demonstrated optical communications technology-based techniques for the generation of high spectral purity continuous wave THz signals at UCL, together with state-of-the-art THz quantum cascade laser (QCL) technology at Cambridge/Leeds. We will bring together these internationally-leading researchers to create coherent systems across the entire THz spectrum. These will be exploited both for fundamental science (e.g. the study of nanostructured and mesoscopic electron systems) and for applications including short-range high-data-rate wireless communications, information processing, materials detection and high resolution imaging in three dimensions.

A national service in support of recipients of the H2020 sme instrument and for the enhancement of innovation management in SMEs Innovation is a vital ingredient of growth and an important element of the future success of the UK. With some 95% of R&D and innovation conducted outside of the UK and many major and lead market shaping companies being of non-UK origin, access to knowledge, markets, skills and partners is increasingly taking place on a global basis. To ensure UK business stays competitive it is important that it is able to effectively access and exploit the growing global investment in research and innovation. Through EEN ENIW activities we will help businesses build collaborations and partnerships and access the finance, knowledge, skills, networks and customers to more rapidly move a concept through to commercialisation.

Health NCP Net 2.0 aims at improving and professionalizing the NCP service, thus achieving a more consistent level of NCP support services across Europe with the final goal to better support applicants and raise the average quality of proposals submitted. HNN 2.0 builds upon the experience and results of the previous Health NCP Net project with the objective of responding to the new challenges that the “Health, Demographic Change and Wellbeing” NCPs face in the new programme Horizon 2020, such as the broadened thematic scope of the Societal Challenge 1, and the enlarged mandate of the “Health” NCPs. An objective of the HNN 2.0 project is to satisfy the needs and priorities of all different types of NCPs, notably newcomers, NCPs with fewer resources, NCPs from EU-13 and NCPs in Third Countries so as to face the challenge of the current heterogeneity of the network The enlarged mandate of “Health” NCPs and the holistic focus of H2020 imply that NCPs need to create expert knowledge and look for it outside the SC1 Network by having a holistic approach and liaising and collaborating with other support structures, projects and programmes. HNN 2.0 will therefore have a real structured coordination with the other NCP and support networks such as Ideal-IST, EEN and Fit for Health 2.0, where collaboration for joint activities like training courses, meet and exchange workshops and brokerage events is established. Main tools towards the objectives: - support and information materials - comprehensive training programme - mentoring programme (staff exchanges, mentoring programme for EU-13, twinning with the European Commission) - Meet and Exchange workshops with NCPs from other disciplines - system of email alert for NCPs about research funding and related policies - information and communication hub for SC1-NCPs (easy access to information and services , exchange of information and opinions between SC1-NCPs) - International brokerage events