Analysis and geometry of higher rank groups.
Spaces of nonpositive curvature and euclidean buildings.
K-theory of operator algebras.
My present research interests lie in the general area of Analysis and Geometry on Groups, but I often cross the boundaries of other areas of mathematics. I am particularly interested in the analysis of higher rank groups, and their actions on spaces of nonpositive curvature. There are close connections with ergodic theory, geometric group theory, algebraic topology and C*-algebraic K-theory.
MAS1241/MAS2241 Number Systems http://www.mas.ncl.ac.uk/~nagr1/teaching/mas1241.html
MAS2216/MAS3216 Enumeration and Combinatorics http://www.mas.ncl.ac.uk/~nagr1/teaching/mas2216.html
MAS3209 Topology http://www.mas.ncl.ac.uk/~nagr1/teaching/mas3209.html