Jonathan Keating is a mathematical physicist who is renowned for his contributions to the fields of quantum chaos, which is the study of the quantum mechanical properties of complex systems, and random matrix theory, and for developing links between these areas and pure mathematics.  He is best known for his work connecting random matrix theory with the distribution of prime numbers through the statistical properties of the Riemann zeta-function, and for developing applications of ideas from quantum chaos and random matrix theory to a wide range of areas of science and technology.

Jonathan is currently Sedleian Professor of Natural Philosophy at the University of Oxford, where he is also a Fellow of The Queen's College. He was an EPSRC Senior Research Fellow from 2004–2009. In 2010, he was awarded the London Mathematical Society's Frölich Prize, and in 2014 he was awarded a Wolfson Research Merit Award by the Royal Society.  He is currently the Treasurer and a Vice-President of the Society.