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SCHOOL OF MATHEMATICS AND APPLIED STATISTICS

Aidan Sims



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Aidan Sims


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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 the director of UOW's Mathematical Sciences research cluster and am a professor of pure mathematics in the School of Mathematics & Applied Statistics, which belongs to the Faculty of Engineering and Information Sciences.

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.


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