I am fascinated by interactions between analysis and geometry. My current work revolves around problems in noncommutative geometry arising from the Baum-Connes conjecture, including characterisations of property A, exactness of groups and their consequences, and it is carried out mostly in collaboration with members of the research group Analytic and Geometric Methods in Group theory at Southampton.

I am also interested in potential applications of this and similar research to mathematical physics, where K-theory has been used with great success in the study of D-branes. Another interesting line of research is the to the study of networks, and the  geometric structure of data sets. My research is partially supported by the EPSRC.

We are currently advertising a 3-year postdoctoral position to study scale-dependent coarse geometry and accompanying cohomology theories. If you are interested, please contact me, or see www.jobs.soton.ac.uk for more information (the reference number is 5066-10-J). The deadline for this is 5 January 2011.

We will have a 3.5 year PhD place available in 2011, so please contact me if you are interested.