Jim's research interests lie in euclidean harmonic analysis; oscillatory integrals, generalised singular and maximal Radon transforms, and stability/ uniformity issues related to these objects. Recently he has also been interested in discrete analogues of these problems in settings where harmonic analysis interacts nicely with number theory.
Current and Recent PhD Students
His current PhD students are Michael Kowalski and Christos Papadimitropoulos. Former PhD students include Sanjay Patel (now at Gujarat University), Spyros Dendrinos (now in Bristol) and Neal Bez (now in Birmingham)
Recent Conference and Workshop Involvement
Jim was an invited speaker at the NSF FRG Conference in October, 2007 and at the BIRS Conference - Recent Developments in Elliptic PDEs and Geometric Measure Theory in April, 2008. He was also invited to speak at the LMS Regional Midlands Workshop in Harmonic Analysis and PDEs in June, 2008, and the Real Analysis Conference in Oberwolfach in July, 2008. He was on the scientific committees for the ICM-2006 satellite conference in Sevilla and the Workshop on Harmonic Analysis and PDE in Merida, Yucatan, Mexico, in February 2008.
Jim received a B.A from the University of Chicago and then a PhD from the University of Wisconsin. After a post-doc at the University of Sussex in the early 1990's he took up a lectureship at the University of New South Wales in Australia before moving to the University of Edinburgh in 2000.