G2-Instantons on Joyce-Karigiannis Manifolds

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In a recent EPSRC-commissioned report by Deloitte, the impact of mathematical sciences research (MSR) was estimated as contributing 10% of UK jobs and 16% of UK gross value added (approximately £208 billion). MSR underpins almost every aspect of the knowledge economy, and that economy requires ever more sophisticated theoretical ideas for continuing growth and competitiveness. The Deloitte report recognises also that the time-lag between curiosity-driven blue- skies research in MSR and technological innovation is often very long (many decades, typically) but when they do appear their impact can be enormous.

This CDT, which comprises a partnership between Imperial College, King's College London and University College London, will deliver a high-level training programme in pure mathematics, integrating transferable skills activities as a central and challenging part of the programme. The students graduating from our CDT will thus have undergone a universal training which will equip them to respond to the widest possible range of future theoretical challenges, whether from environmental consultancy, hedge-fund management, intelligence agencies and software development, biotech companies, artificial intelligence and visualisation of large data. We expect that approximately half of our graduates will take up such roles, and in so doing contribute directly to the competitiveness of the UK economy and quality of life. The other half are likely to find employment in academia, and thus will contribute directly to the future educational and training needs of the UK over the coming decades.