Aidan Sims

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.

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.