Jonathan works in the field of Euclidean harmonic analysis, and in particular on questions pertaining to operators whose definition depends on some submanifold (or family of submanifolds) of Euclidean space such as Fourier restriction or extension operators and generalised Radon transforms. He is also interested in certain discrete analogues of these objects, the analysis of which typically involves number theoretic considerations.
Jonathan received an MA from the University of Edinburgh before taking Part III of the Mathematical Tripos in Cambridge. He then obtained a PhD back in the University of Edinburgh in 2015. After post-doctoral positions at the University of Chicago, the University of St Andrews and the Mathematical Sciences Research Institute, Berkeley, he returned to take up a Lectureship in the University of Edinburgh in 2019.