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 (2014-2016; for ERA 2018)


Research Income (2014-2016; for ERA 2018)


Refereed publication list (2011-2016; for ERA 2018)

  1. T-duality simplifies bulk-boundary correspondence: some higher dimensional cases (with G.C. Thiang), Annales Henri Poincare, 17 no. 12 (2016) 3399–3424, [1506.04492]
  2. T-duality trivializes bulk-boundary correspondence: the parametrised case (with K. Hannabuss and G. C. Thiang), Advances in Theoretical and Mathematical Physics, 20 no. 5 (2016) 1193-1226, [1510.04785]
  3. Formal geometric quantisation for proper actions (with P. Hochs), Journal of Homotopy and Related Structures, 11, no.3, (2016) 409-424, [1403.6542]
  4. T-duality simplifies bulk-boundary correspondence (with Guo Chuan Thiang), Communications in Mathematical Physics, 345 no. 2, (2016) 675-701 [1505.05250]
  5. Spin manifolds and proper group actions, (with P. Hochs), Advances in Mathematics, 292 (2016) 1-10, [1411.0781]
  6. Spectral sections, twisted rho invariants and positive scalar curvature (with M-T. Benameur), Journal of Noncommutative Geometry, 9, no. 3, (2015) 821-850, [1309.5746]
  7. T-duality 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
  8. Geometric quantization and families of inner products (with P. Hochs), Advances in Mathematics, 282 (2015) 362-426, [1309.6760]
  9. Twisted Chiral De Rham Complex, Generalized Geometry, and T-duality (with A. Linshaw), Communications in Mathematical Physics, 339, No. 2, (2015) 663-697, [1412.0166]
  10. Spherical T-duality, (with P.Bouwknegt and J.Evslin), Communications in Mathematical Physics, 337, No. 2, (2015) 909-954. [1405.5844]
  11. Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality (with H. Sati), Journal of Geometry and Physics, 92 (2015) 240-251, [1404.2257]
  12. Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles (with P.Bouwknegt and J.Evslin), Journal of Geometry and Physics, 92 (2015) 46-54 [1409.1296]
  13. Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality (with F.Han), Communications in Mathematical Physics, 337, No. 1, (2015) 127-150. [1405.1320]
  14. T-duality for circle bundles via noncommutative geometry (with J. Rosenberg), Advances in Theoretical and Mathematical Physics, 18, no. 6 (2014) 1437-1462, [1306.4198]
  15. Index type invariants for twisted signature complexes and homotopy invariance (with M-T. Benameur), Mathematical Proceedings of the Cambridge Philosophical Society, 156 no.3 (2014) 473-503, [1202.0272]
  16. 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.
  17. Holomorphic Quillen determinant line bundles on integral compact Kahler manifolds (with R. Dey), The Quarterly Journal of Mathematics, Quillen memorial issue, 64 (2013), 785-794 [1202.5213]
  18. T-duality of current algebras and their quantization (with P. Hekmati), Contemporary Mathematics, 584 (2012) 17-38, [1203.1709]
  19. 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]
  20. Topology and Flux of T-Dual Manifolds with Circle Actions (with S. Wu), Communications in Mathematical Physics, 316 (2012) 279-286. [1108.5045]
  21. Bundle gerbes and moduli spaces (with P. Bouwknegt and S. Wu), Journal of Geometry and Physics, 62 (2012) 1-10, [1107.3687]
  22. Analytic torsion for twisted de Rham complexes, (with S. Wu), Journal of Differential Geometry, 88 (2011) 297-332, [0810.4204]
  23. Operator algebra quantum homogeneous spaces of universal gauge groups, (with S. Mahanta), Letters in Mathematical Physics, 97 (2011) 263-277. [1012.5893]
  24. 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]
  25. Analytic torsion of Z2-graded elliptic complexes, (with S. Wu), Contemporary Mathematics, 546 (2011) 199-212. [1001.3212]
  26. A noncommutative sigma-model, (with J. Rosenberg), Journal of Noncommutative Geometry, 5 no 2 (2011) 265-294, [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 (2011-2013; for ERA 2015)


Research Income (2011-2013; for ERA 2015)


Refereed publication list (2008-2013; for ERA 2015)

  1. 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.
  2. Holomorphic Quillen determinant line bundles on integral compact Kahler manifolds (with R. Dey), The Quarterly Journal of Mathematics, Quillen memorial issue, 64 (2013), 785-794 [1202.5213]
  3. T-duality of current algebras and their quantization (with P. Hekmati), Contemporary Mathematics, 584 (2012) 17-38, [1203.1709]
  4. 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]
  5. Topology and Flux of T-Dual Manifolds with Circle Actions (with S. Wu), Communications in Mathematical Physics, 316 (2012) 279-286. [1108.5045]
  6. Bundle gerbes and moduli spaces (with P. Bouwknegt and S. Wu), Journal of Geometry and Physics, 62 (2012) 1-10, [1107.3687]
  7. Analytic torsion for twisted de Rham complexes, (with S. Wu), Journal of Differential Geometry, 88 (2011) 297-332, [0810.4204]
  8. Operator algebra quantum homogeneous spaces of universal gauge groups, (with S. Mahanta), Letters in Mathematical Physics, 97 (2011) 263-277. [1012.5893]
  9. 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]
  10. Analytic torsion of Z2-graded elliptic complexes, (with S. Wu), Contemporary Mathematics, 546 (2011) 199-212. [1001.3212]
  11. A noncommutative sigma-model, (with J. Rosenberg), Journal of Noncommutative Geometry, 5 no 2 (2011) 265-294, [0903.4241]
  12. C*-algebras in tensor categories, (with P. Bouwknegt and K. Hannabuss), Clay Mathematics Proceedings, 12 (2010) 127-165. [math.QA/0702802]
  13. Geometric quantization for proper actions (with W. Zhang), Advances in Mathematics, 225 no.3 (2010) 1224--1247. [0806.3138v2]
  14. 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]
  15. Twisted Analytic Torsion (with S. Wu), Science China Mathematics, 53 no. 3 (2010) 555-563 [0912.2184]
  16. 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]
  17. The geometry of determinant line bundles in noncommutative geometry (with P. Chakraborty), Journal of Noncommutative Geometry, 3 no.4 (2009) 559-578. [0804.3232v2]
  18. Harmonic Cheeger-Simons characters with applications (with R. Green), Journal of Geometry and Physics, 59 no.5 (2009) 663-672. [0803.1874]
  19. T-Duality 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]