UOW logo


Aidan Sims

My ORCID profile
Aidan Sims

Research Funding

Expand All Collapse All


Expand All Collapse All

Research Interests and Affiliations

I am broadly interested in functional analysis, more specifically in the area of operator algebras and its applications in related fields. Much of my research is concerned with C*-algebras associated to directed graphs, to higher-rank graphs and to other combinatorial structures. These can be regarded as special cases of the theory of C*-algebras associated to Hilbert bimodules and to product systems of Hilbert bimodules, and I have a long-standing interest in these as well. More recently I have developed interests in C*-algebras associated to groupoids and to Fell bundles over groupoids, and also to the interplay between operator algebras and algebraic topology: in particular in Dixmier–Douady theory and in deformations of C*-algebras by cohomological data. I have also recently developed research programs studying the structure of equilibrium states, known as KMS states, of C*-dynamical systems; particularly in the context of C*-algebras associated to combinatorial structures. I am a professor of pure mathematics in the School of Mathematics & Applied Statistics, which belongs to the Faculty of Engineering and Information Sciences, and am a member of the Institute for Noncommutative Analysis (INCA), a research centre of the University of Wollongong's Institute for Mathematics and Its Applications.

Current research students

Previous research students

You can find here a small collection of informal notes that I have developed or that others have allowed me to post at various times.

Return to School of Mathematics and Applied Statistics

This page, its content and style, are the responsibility of the author and do not necessarily represent the views, policies or opinions of the University of Wollongong