Ehud Hrushovski FRS, a Merton Professor of Mathematical Logic at the University of Oxford was awarded the Shaw Mathematical Sciences Award 2022 for his remarkable contributions to discrete mathematics and model theory with interaction, notably with algebraic geometry, topology and computer sciences.
Ehud who is also a Fellow of Merton College, Oxford works in the broad area of model theory with applications to algebraic-arithmetic geometry and number theory.
Professor Ehud introduced the group configuration theorem as a vast generalisation of Zilber’s and Malcev’s theorems, which became a powerful tool in geometric stability theory and eventually enabled him to solve the Kueker’s conjecture for stable theories. With Pillay he proved a structure theorem on groups which led him to then prove the Mordell–Lang conjecture in algebraic geometry in positive characteristic. This came as a big surprise. He disproved a conjecture by Zilber on strongly minimal sets, introducing a method which became an essential technique for estimating complexity. He wrote with Chatzidakis a theory of difference fields which, he showed later, has striking applications to dynamics in geometry over finite fields, and was for example a key tool to solve the Gieseker conjecture on the structure of D-modules over finite fields. He found a proof of the Manin–Mumford conjecture (Raynaud’s theorem) using his tools ultimately stemming from logic. He gave algorithms to compute Galois groups of linear differential equations. Finally, he developed a theory of integration in valued fields and non-archimedean tame geometry, starting from his work with Kazhdan (2006) and finishing with his work with Loeser (2016).
Professor Ehud Hrushovski received the awarded in equal shares to Noga Alon, a Professor of Mathematics at the University of Princeton,
Congratulations.
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