Nigel Hitchin, Minhyong Kim, Kobi Kremnizter, and Boris Zilber of Oxford,  Ivan Fesenko of the University of Nottingham, and international collaborators Mikhail Kapranov (IMPU Japan) and Fedor Bogomolov (NYU) have been awarded a £2.3 million grant from the EPSRC for their project on ‘Symmetries and Correspondences’.  

Together with a stellar team of visiting researchers, they aim to assemble into a single coherent framework ideas and techniques arising from the most recent developments in geometry, topology, number theory, mathematical physics, and logic. These will then be brought to bear on key themes of fundamental mathematics centred on the various approaches to non-abelian and/or higher-dimensional class field theory and the theory of L-functions. The goal is bring about substantial unity in the diversity of programmes at the interface of  higher geometric structures and long-standing questions of number theory and geometry.

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