Mathai's output for ERA 2018
Pure Mathematics at Adelaide received a 2018 ERA=5 ranking (well above world standard), making it the joint best in the nation.
Esteem measures (20142016; for ERA 2018)
 Fellow, Australian Academy of Science, elected in 2011 to a learned
academy.
 ARC Discovery Outstanding Researcher Award (20142015), category 1
research fellowship.
Research Income (20142016; for ERA 2018)
 ARC grants DP130103924, DP15010008 totalling >$500K
Refereed publication list (20112016; for ERA 2018)

Tduality simplifies bulkboundary correspondence:
some higher dimensional cases
(with G.C. Thiang),
Annales Henri Poincare,
17 no. 12 (2016) 3399â€“3424,
[1506.04492]

Tduality trivializes bulkboundary correspondence:
the parametrised case
(with K. Hannabuss and G. C. Thiang),
Advances in Theoretical and Mathematical Physics,
20 no. 5 (2016)
11931226,
[1510.04785]

Formal geometric quantisation for proper actions
(with P. Hochs),
Journal of Homotopy and Related Structures,
11, no.3, (2016) 409424,
[1403.6542]

Tduality simplifies bulkboundary correspondence
(with Guo Chuan Thiang),
Communications in Mathematical Physics,
345 no. 2, (2016) 675701
[1505.05250]

Spin manifolds and proper group actions,
(with P. Hochs), Advances in Mathematics,
292 (2016) 110,
[1411.0781]

Spectral sections, twisted rho invariants and positive scalar curvature
(with MT. Benameur),
Journal of Noncommutative Geometry,
9, no. 3, (2015) 821850,
[1309.5746]

Tduality and topological insulators
(with Guo Chuan Thiang),
Journal of Physics A: Mathematical and Theoretical (Fast Track Communication)
48 (2015) no. 42, 42FT02, 10pp,
[1503.01206]
publicity at IOPSCIENCE

Geometric quantization and families of inner products
(with P. Hochs), Advances in Mathematics,
282 (2015) 362426,
[1309.6760]

Twisted Chiral De Rham Complex, Generalized Geometry, and Tduality
(with A. Linshaw),
Communications in Mathematical Physics,
339, No. 2, (2015) 663697,
[1412.0166]

Spherical Tduality,
(with P.Bouwknegt and J.Evslin),
Communications in Mathematical Physics,
337, No. 2, (2015) 909954.
[1405.5844]

Higher abelian gauge theory associated to gerbes on noncommutative deformed
M5branes and Sduality (with H. Sati),
Journal of Geometry and Physics,
92 (2015) 240251,
[1404.2257]

Spherical Tduality II: An infinity of spherical Tduals for
nonprincipal SU(2)bundles
(with P.Bouwknegt and J.Evslin),
Journal of Geometry and Physics,
92 (2015) 4654
[1409.1296]

Exotic twisted equivariant cohomology of loop spaces, twisted
BismutChern character and Tduality
(with F.Han),
Communications in Mathematical Physics,
337, No. 1, (2015) 127150.
[1405.1320]

Tduality for circle bundles via noncommutative geometry
(with J. Rosenberg),
Advances in Theoretical and Mathematical Physics,
18, no. 6
(2014) 14371462,
[1306.4198]

Index type invariants for twisted signature complexes and homotopy invariance
(with MT. Benameur),
Mathematical Proceedings of the Cambridge Philosophical Society,
156 no.3 (2014) 473503,
[1202.0272]

Conformal invariants of twisted Dirac operators and positive scalar curvature
(with MT. Benameur), Journal of Geometry and Physics,
70 (2013) 3947,
[1210.0301]
Erratum, Journal of Geometry and Physics,
76 (2014) 263264.

Holomorphic Quillen determinant line bundles on integral compact Kahler
manifolds
(with R. Dey), The Quarterly Journal of Mathematics,
Quillen memorial issue, 64 (2013), 785794
[1202.5213]

Tduality of current algebras and their quantization
(with P. Hekmati), Contemporary Mathematics,
584 (2012) 1738,
[1203.1709]

Nonassociative strict deformation quantization of C*algebras and
nonassociative torus bundles
(with K. Hannabuss), Letters in Mathematical Physics,
102, No. 1 (2012), 107123,
[1012.2274]

Topology and Flux of TDual Manifolds with Circle Actions
(with S. Wu),
Communications in Mathematical Physics,
316 (2012) 279286.
[1108.5045]

Bundle gerbes and moduli spaces
(with P. Bouwknegt and S. Wu),
Journal of Geometry and Physics,
62 (2012) 110,
[1107.3687]

Analytic torsion for twisted de Rham complexes,
(with
S. Wu), Journal of Differential Geometry,
88 (2011) 297332,
[0810.4204]

Operator algebra quantum homogeneous spaces of universal gauge groups,
(with S. Mahanta), Letters in Mathematical Physics,
97 (2011) 263277.
[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) 2538,
[1007.4696]

Analytic torsion of Z_{2}graded elliptic complexes,
(with S. Wu), Contemporary Mathematics,
546 (2011) 199212.
[1001.3212]

A noncommutative sigmamodel,
(with J. Rosenberg),
Journal of Noncommutative Geometry,
5 no 2 (2011) 265294,
[0903.4241]
Output for ERA 2015
For information re Excellence in Research for Australia, ERA 2015, see here. For the 2015 ERA outcomes, see
here .
Esteem measures (20112013; 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.
Research Income (20112013; for ERA 2015)
 ARC grants DP0770927, DP110100072, DP130103924 totalling >$500K
Refereed publication list (20082013; for ERA 2015)

Conformal invariants of twisted Dirac operators and positive scalar curvature
(with MT. Benameur), Journal of Geometry and Physics,
70 (2013) 3947,
[1210.0301]
Erratum, Journal of Geometry and Physics,
76 (2014) 263264.

Holomorphic Quillen determinant line bundles on integral compact Kahler
manifolds
(with R. Dey), The Quarterly Journal of Mathematics,
Quillen memorial issue, 64 (2013), 785794
[1202.5213]

Tduality of current algebras and their quantization
(with P. Hekmati), Contemporary Mathematics,
584 (2012) 1738,
[1203.1709]

Nonassociative strict deformation quantization of C*algebras and
nonassociative torus bundles
(with K. Hannabuss), Letters in Mathematical Physics,
102, No. 1 (2012), 107123,
[1012.2274]

Topology and Flux of TDual Manifolds with Circle Actions
(with S. Wu),
Communications in Mathematical Physics,
316 (2012) 279286.
[1108.5045]

Bundle gerbes and moduli spaces
(with P. Bouwknegt and S. Wu),
Journal of Geometry and Physics,
62 (2012) 110,
[1107.3687]

Analytic torsion for twisted de Rham complexes,
(with
S. Wu), Journal of Differential Geometry,
88 (2011) 297332,
[0810.4204]

Operator algebra quantum homogeneous spaces of universal gauge groups,
(with S. Mahanta), Letters in Mathematical Physics,
97 (2011) 263277.
[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) 2538,
[1007.4696]

Analytic torsion of Z_{2}graded elliptic complexes,
(with S. Wu), Contemporary Mathematics,
546 (2011) 199212.
[1001.3212]

A noncommutative sigmamodel,
(with J. Rosenberg),
Journal of Noncommutative Geometry,
5 no 2 (2011) 265294,
[0903.4241]
 C*algebras in tensor categories,
(with P. Bouwknegt and K. Hannabuss),
Clay Mathematics Proceedings,
12 (2010) 127165.
[math.QA/0702802]

Geometric quantization for proper actions
(with W. Zhang),
Advances in Mathematics,
225 no.3 (2010) 12241247.
[0806.3138v2]

Noncommutative principal torus bundles via parametrised
strict deformation quantization,
(with K. Hannabuss),
AMS Proceedings of Symposia in Pure Mathematics,
81 (2010) 133148,
[0911.1886]

Twisted Analytic Torsion (with S. Wu),
Science China Mathematics,
53 no. 3 (2010) 555563
[0912.2184]

The index of projective families of elliptic operators: the decomposable case,
(with R.B. Melrose and I.M. Singer),
Astérisque,
328 (2009) 255296.
[0809.0028]

The geometry of determinant line bundles in noncommutative geometry
(with P. Chakraborty),
Journal of Noncommutative Geometry,
3 no.4 (2009) 559578.
[0804.3232v2]

Harmonic CheegerSimons characters with applications
(with R. Green),
Journal of Geometry and Physics,
59 no.5 (2009) 663672.
[0803.1874]

TDuality as a Duality of Loop Group Bundles,
(with P. Bouwknegt), Journal of Physics A: Math. Theor. (Fast Track Communications),
42 no.16 (2009) 162001, 8 pages,
[0902.4341]

Noncommutative correspondences, duality and Dbranes in bivariant Ktheory
(with J. Brodzki, J. Rosenberg and R. Szabo),
Advances in Theoretical and Mathematical Physics,
13 no. 2 (2009) 497552.
[0708.2648]

Dbranes, KKtheory 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) 465473.
[math.DG/0611819]

DBranes, RRFields and Duality on Noncommutative Manifolds
(with J. Brodzki, J. Rosenberg and R. Szabo),
Communications in Mathematical Physics,
277, no.3 (2008) 643706.
[hepth/0607020]