| Citation | Dr Jonathan Pila, Reader in Mathematical Logic, Mathematical Institute, University of Oxford and Fellow of Wolfson College, Oxford
Starting from his influential work with Bombieri, Pila pioneered the study of the distribution of rational points on sets defined by real analytic conditions. This led to a powerful general theorem, joint with Wilkie, in the setting of o-minimal structures, a part of model theory. Beginning with a paper with Zannier this theorem has found significant applications to central problems in Diophantine geometry, including Pila's breakthrough unconditional proof of the André-Oort conjecture for products of modular curves. The work of Pila and his collaborators has opened up a rich new connection between Diophantine geometry and mathematical logic.
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