Analysis

This group has wide interests in the broad area of Analysis, which lies at the heart of much of Mathematics. Some of the current research topics include:

• Groups acting on discrete structures such as trees and buildings, representations of such groups, linear groups over local fields;
• Automorphic forms;
• p-adic Hodge theory, p-adic modular forms;
• Cardinal functions and cardinal inequalities on topological spaces;
• Operator theory in Hilbert spaces;
• Coherent rings;
• The differentiability of convex functions with domains in locally convex spaces;
• Random walks on groups.

Harmonic analysis, functional analysis, analytic number theory, convex analysis and probability.

Dr D. I. Cartwright (D.Cartwright@maths.usyd.edu.au)