Dr Rennie received his Phd from the University of Adelaide in 2001 with his dissertation titled, ‘Noncommutative Spin Geometry’. Prior to joining the the University of Wollongong in March 2012, Dr. Rennie was a Senior Lecturer, Australian Research Fellow at the Australian National University, Canberra and previously has been associated with the University of Copenhagen, Denmark and the University of Newcastle, Australia Professional Activities and Affiliations: • Australian Research Fellow • Principal lecturer, Noncommutative geometry, index theory and applications, CIMPA-UNESCO-Thailand School, 2011. •Member of the Australian Mathematical Society Current Research Students: Christopher Bourne (ANU), Koenraad van den Dungen (ANU), Iain Forsyth (ANU)
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Integration on locally compact noncommutative spaces (with A L. Carey, V Gayral, and F A. Sukochev), Faculty of Informatics - Papers (2012)
We present an ab initio approach to integration theory for nonunital spectral triples. This is...
Noncommutative manifolds from Graph and k-Graph C*-algebras (with David A. Pask and Aidan Sims), Communications in Mathematical Physics (2009)
In [PRen] we constructed smooth (1,∞)-summable semifinite spectral triples for graph algebras with a faithful...
The noncommutative geometry of graph C*-algebras I: The index theorem (with David Pask), Journal of Functional Analysis (2006)
We investigate conditions on a graph C*-algebra for the existence of a faithful semifinite trace....