Pure Mathematics at Adelaide received an ERA=5 ranking (well above world standard), making it the joint best in the nation. For information re Excellence in Research for Australia, ERA 2015, see here. For the 2015 ERA outcomes, see
here .
Esteem measures (2011-2013; for ERA 2015)
ARC Australian Professorial Fellowship (2011), category 1 research
fellowship.
Fellow, Australian Academy of Science (2011), elected to a learned
academy.
ARC Discovery Outstanding Researcher Award (2013), category 1 research
fellowship.
Refereed publication list (2008-2013; for ERA 2015)
Conformal invariants of twisted Dirac operators and positive scalar curvature
(with M-T. Benameur), Journal of Geometry and Physics,70 (2013) 39-47,[1210.0301] Erratum, Journal of Geometry and Physics,76 (2014) 263-264.
T-duality of current algebras and their quantization
(with P. Hekmati), Contemporary Mathematics,584 (2012) 17-38,[1203.1709]
Nonassociative strict deformation quantization of C*-algebras and
nonassociative torus bundles
(with K. Hannabuss), Letters in Mathematical Physics,102, No. 1 (2012), 107-123,[1012.2274]
Topology and Flux of T-Dual Manifolds with Circle Actions
(with S. Wu),
Communications in Mathematical Physics,316 (2012) 279-286.[1108.5045]
Bundle gerbes and moduli spaces
(with P. Bouwknegt and S. Wu),
Journal of Geometry and Physics,62 (2012) 1-10,[1107.3687]
Analytic torsion for twisted de Rham complexes,
(with
S. Wu), Journal of Differential Geometry,88 (2011) 297-332,[0810.4204]
Operator algebra quantum homogeneous spaces of universal gauge groups,
(with S. Mahanta), Letters in Mathematical Physics,97 (2011) 263-277.[1012.5893]
Parametrised strict deformation quantization of
C*-bundles and Hilbert C*-modules,
(with K. Hannabuss), Journal of the Australian Mathematical Society,90 no. 01 (2011) 25-38,[1007.4696]
Noncommutative principal torus bundles via parametrised
strict deformation quantization,
(with K. Hannabuss),
AMS Proceedings of Symposia in Pure Mathematics,81 (2010) 133-148,[0911.1886]
The index of projective families of elliptic operators: the decomposable case,
(with R.B. Melrose and I.M. Singer),
Astérisque,328 (2009) 255-296.[0809.0028]
The geometry of determinant line bundles in noncommutative geometry
(with P. Chakraborty),
Journal of Noncommutative Geometry,3 no.4 (2009) 559-578. [0804.3232v2]
Noncommutative correspondences, duality and D-branes in bivariant K-theory
(with J. Brodzki, J. Rosenberg and R. Szabo),
Advances in Theoretical and Mathematical Physics,13 no. 2 (2009) 497-552. [0708.2648]
D-branes, KK-theory and
duality on noncommutative spaces
(with J. Brodzki, J. Rosenberg and R. Szabo),
Journal of Physics: Conference Series,103 (2008) 012004,
13 pages.
[0709.2128]
Equivariant and fractional index of projective elliptic operators, (with
R.B. Melrose and I.M. Singer),
Journal of Differential Geometry, 78 no.3 (2008) 465-473.[math.DG/0611819]
D-Branes, RR-Fields and Duality on Noncommutative Manifolds
(with J. Brodzki, J. Rosenberg and R. Szabo),
Communications in Mathematical Physics,277, no.3 (2008) 643-706. [hep-th/0607020]