# Analysis

## Research Interests of the Analysis Group

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.

## Research Areas

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

## Contact Person

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