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Professor of the Mathematics of Information in the Mathematics Institute at Oxford University and a Fellow at Exeter College. Founding Editor-in-Chief of Information and Inference: A Journal of the IMA. Previous academic appointments are:

• University of Edinburgh, School of Mathematics, 2007-2012. Professor of the Mathematics of Information (2010-2012), Reader (2009-2010), and Lecturer (2007-2009).
• University of Utah, Department of Mathematics, 2006-2007. Assistant Professor.
• Stanford University, Department of Statistics, 2004-2006. NSF Postdoctoral Fellow.
• University of California at Davis, Department of Mathematics, 2002-2004. Visiting Assistant Research Professor.

My research concerns extracting models of high dimensional date which reveal of the essential information in the data. Specific contributions include the derivation of sampling theorems in compressed sensing using techniques from stochastic geometry, the design and analysis of efficient algorithms for matrix completion which minimise over higher dimensional subspaces as the reliability of the data warrants, and theoretical understanding of deep neural networks. Recent interests include how to initialize very deep neural networks so as to retain desierable geometric and information theoretic properties, as well as how to prune deep nets. Google Scholar.