For the 2023 selection, scientific works in both basic and applied research were chosen in 34 areas of the three basic science fields (mathematics, theoretical physics, and theoretical computer and information sciences). Each winning paper receives a prize of $25,000. The full list of winners is here
Mathematics
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Category: Mathematical Logic, Foundations and Category Theory
Paper and Oxford author: Ax-Schanuel for Shimura varieties - Jonathan Pila
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Number Theory
On the Duffin-Schaeffer conjecture - James Maynard
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Algebraic and Geometric Topology
On property (T) for Aut(Fn) and SLn(Z) - Dawid Kielak
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Numerical Analysis and Scientific Computation
The AAA Algorithm for Rational Approximation - Yuji Nakatsukasa and Nick Trefethen
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Lie Theory and Representation Theory
Wick rotation and the positivity of energy in quantum field theory - Graeme Segal
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Physics
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Condensed Matter theory
Global Phase Diagram of the Normal State of Twisted Bilayer Graphene - The award was given to former DPhil students Dr Glenn Wagner and Dr Yves Kwan, who are now postdoctoral fellows at the University of Zurich and Princeton University, respectively; Dr Nick Bultinck, a former Royal Society University Research Fellow at Oxford who is now on the faculty of Ghent University in Belgium; and Oxford RPC faculty Professors Steve Simon and Siddharth Parameswaran.
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Measurement-Induced Phase Transitions in the Dynamics of En- tanglement - Adam Nahum