Archived preprints:

• Twisted K-homology and twisted Ext-theory,(with I.M. Singer), preprint 2000, 20 pages. [hep-th/0012046]
  
• Verlinde modules and quantization, 28 pages, [1108.1592]
• Witten Genus and Elliptic genera for proper actions, (with Fei Han), 29 pages, [1807.06863]
• The ring structure of twisted equivariant KK-theory for noncompact Lie groups (with Alex Chi-Kwong Fok) 35 pages [1903.05298]
• Exotic Courant algebroids and T-duality (with J. Crilly) 16 pp [1909.07127]
• T-Duality, Jacobi Forms and Witten Gerbe Modules (with Fei Han) 23 pp [2001.00322]
• Positive scalar curvature and an equivariant Callias-type index theorem for proper actions (with Hao Guo and Peter Hochs) 38 pp [2001.07336]
• Fractional Quantum Numbers, Complex Orbifolds and Noncommutative Geometry (with Graeme Wilkin) 18 pp [2004.06666]
• On the Chern character in higher twisted K-theory and spherical T-duality (with Lachlan MacDonald and Hemanth Saratchandran) 39 pp [2007.02507]
• T-duality and the exotic chiral de Rham complex (with A. Linshaw) 28 pp [2008.00632]

Very recent refereed publications (2014-)

• Exotic Twisted Equivariant K-Theory, (with Fei Han) Journal of Geometry and Physics (to appear) 19 pages, [1712.06267]
• Coarse geometry and Callias quantisation (with Hao Guo and Peter Hochs) Transactions of the American Mathematical Society (to appear) 47 pp [1909.11815]
• Equivariant Callias index theory via coarse geometry (with Hao Guo and Peter Hochs), Annales de l'Institut Fourier (to appear) 47 pp. [1902.07391]
• Positive scalar curvature metrics via end-periodic manifolds, (with M. Hallam) Annals of K-theory Vol. 5 (2020), No. 3, 639-676 [1706.09354]
• Proof of the magnetic gap-labelling conjecture for principal solenoidal tori (with M. T. Benameur), Journal of Functional Analysis 278 (2020) 108323, 8 pp,, [1806.06302]
• The Riemann-Roch theorem on higher dimensional complex noncommutative tori (with J. Rosenberg) Journal of Geometry and Physics, 147 (2020) 103534, 9 pp, [1907.10200]
• Projective Elliptic genera and Elliptic Pseudodifferential genera, (with Fei Han) Advances in Mathematics 358, (2019), 106860 25 pp [1903.07035]
• Fractional quantum numbers via complex orbifolds (with Graeme Wilkin), Letters in Mathematical Physics 109 no. 11 (2019) 2473-2484 [1811.11748]
• Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence (with G. C. Thiang), Advances in Theoretical and Mathematical Physics 23 no. 3 (2019) 803-840, [1712.02952]
• Positive scalar curvature and Poincaré duality for proper actions, (with Hao Guo and Hang Wang), Journal of Noncommutative Geometry, 13 no.4 (2019) 53 pp [1609.01404]
• Gap-labelling conjecture with non-zero magnetic field, (with M-T. Benameur) Advances in Mathematics 325, (2018) 116-164, [1508.01064]
• Spherical T-duality and the spherical Fourier-Mukai transform (with P.Bouwknegt and J.Evslin), Journal of Geometry and Physics, 133 (2018), 303-314, [1502.04444]
• T-duality simplifies bulk-boundary correspondence: the noncommutative case (with K. Hannabuss and G. C. Thiang), Letters in Mathematical Physics, 108, no. 5 (2018) 1163-1201, [1603.00116]
• T-duality in an H-flux: exchange of momentum and winding, (with Fei Han) Communications in Mathematical Physics, 363, no. 1 (2018) 333-350. [1710.07274]
• T-duality of singular spacetime compactifications in an H-flux (with A. Linshaw), Journal of Geometry and Physics, 129, no. 7 (2018) 269-278, [1710.09927]
• Geometry of Pseudodifferential algebra bundles and Fourier Integral Operators (with R.B. Melrose), Duke Mathematical Journal 166 no.10 (2017) 1859-1922, [1210.0990]
• Group dualities, T-dualities, and twisted K-theory, (with J. Rosenberg) Journal of the London Mathematical Society, 97, no. 1 (2018) 1-23,, [1603.00969]
• Differential topology of semimetals, (with G. C. Thiang), Communications in Mathematical Physics, 355, no. 2,(2017) 561-602. [1611.08961]
• Global topology of Weyl semimetals and Fermi arcs, (with G. C. Thiang), Journal of Physics A: Mathematical and Theoretical (Letter) 50 no. 11 (2017) 11LT01, 11pp [1607.02242]
  publicity at JPhys+
• Quantising proper actions on Spin^c-manifolds (with P. Hochs), Asian Journal of Mathematics, 21 no. 4 (2017) 631-686, [1408.0085]
• 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]
• 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]
• Formal geometric quantisation for proper actions (with P. Hochs), Journal of Homotopy and Related Structures, 11, no.3, (2016) 409-424, [1403.6542]
• T-duality simplifies bulk-boundary correspondence (with Guo Chuan Thiang), Communications in Mathematical Physics, 345 no. 2, (2016) 675-701 [1505.05250]
• Spin manifolds and proper group actions, (with P. Hochs), Advances in Mathematics, 292 (2016) 1-10, [1411.0781]
• 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]
• 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
• Geometric quantization and families of inner products (with P. Hochs), Advances in Mathematics, 282 (2015) 362-426, [1309.6760]
• 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]
• Spherical T-duality, (with P.Bouwknegt and J.Evslin), Communications in Mathematical Physics, 337, No. 2, (2015) 909-954. [1405.5844]
• 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]
• 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]
• 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]
• 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]
• 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]

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.
• 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]
• 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]
• Analytic torsion of Z₂-graded elliptic complexes, (with S. Wu), Contemporary Mathematics, 546 (2011) 199-212. [1001.3212]
• A noncommutative sigma-model, (with J. Rosenberg), Journal of Noncommutative Geometry, 5 no 2 (2011) 265-294, [0903.4241]
• C*-algebras in tensor categories, (with P. Bouwknegt and K. Hannabuss), Clay Mathematics Proceedings, 12 (2010) 127-165. [math.QA/0702802]
• Geometric quantization for proper actions (with W. Zhang), Advances in Mathematics, 225 no.3 (2010) 1224--1247. [0806.3138v2]
• 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]
• Twisted Analytic Torsion (with S. Wu), Science China Mathematics, 53 no. 3 (2010) 555-563 [0912.2184]
• 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]
• Harmonic Cheeger-Simons characters with applications (with R. Green), Journal of Geometry and Physics, 59 no.5 (2009) 663-672. [0803.1874]
• 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]
• 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]

Some earlier refereed publications (since 1997)

• T-duality in type II string theory via noncommutative geometry and beyond, in "Noncommutative Geometry and Quantum Spacetime in Physics", Proceedings of the 21st Nishinomiya-Yukawa Memorial Symposium, Edited by N. Sasakura and S. Watamura, Progress of Theoretical Physics Supplement, 171, (2007) 237-257.
• Entire cyclic homology of stable continuous trace algebras, (with Danny Stevenson), Bulletin of the London Mathematical Society, 39 no. 1 (2007) 71-75 , [math.KT/0412485]
• Fractional Analytic Index, (with R.B. Melrose and I.M. Singer), Journal of Differential Geometry, 74 no. 2 (2006) 265-292. [math.DG/0402329]
• On mysteriously missing T-duals, H-flux and the T-duality group (with J. Rosenberg), pages 350-358, in "Differential Geometry and Physics", editors Mo-Lin Ge and Weiping Zhang, Nankai Tracts in Mathematics, Volume 10, World Scientific 2006. [hep-th/0409073]
• Quantum Hall effect and noncommutative geometry, (with A. Carey and K. Hannabuss), Journal of Geometry and Symmetry in Physics, 6 (2006) 16-37, [math.OA/0008115]
  
• Flux compactification on projective spaces and the S-duality puzzle, (with P. Bouwknegt, J. Evslin, B. Jurco and H. Sati), Advances in Theoretical and Mathematical Physics, 10 no. 3 (2006) 345-394 [hep-th/0501110]
• Yang-Mills theory for bundle gerbes (with D. Roberts), Journal of Physics A: Mathematical and General, 39 no. 20 (2006) 6039-6044. [hep-th/0509037]
• Nonassociative tori and applications to T-duality (with P. Bouwknegt and K. Hannabuss), Communications in Mathematical Physics, 264 no. 1 (2006) 41-69 [hep-th/0412092]
• K-theory, pages 246-254, Encyclopedia of Mathematical Physics, Editors: J. P. Francoise, G. Naber and S. T. Tsou, Elsevier, 2006.
• Heat kernels and the range of the trace on completions of twisted group algebras (with appendix by I. Chatterji), Contemporary Mathematics, 398 (2006) 321-346. [math.KT/0606790]
• Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians (with J. Dodziuk), Contemporary Mathematics, 398 (2006) 69-81. [math.SP/0312450]
• Towards the fractional quantum Hall effect: a noncommutative geometry perspective, (with M. Marcolli), "Noncommutative Geometry and Number Theory". Editors C.Consani, M. Marcolli, Aspects of Mathematics, Vieweg Verlag, Wiesbaden, 2006, pages 235-261. [cond-mat/0502356]
• On a generalized Connes-Hochschild-Kostant-Rosenberg theorem, (with Danny Stevenson), Advances in Mathematics, 200 no. 2 (2006) 303-335. [math.KT/0404329]
• Arithmetic properties of eigenvalues of generalized Harper operators on graphs, (with J. Dodziuk and S. Yates), 28 pages, Communications in Mathematical Physics, 262 no. 2 (2006) 269-297. [math.SP/0311315]
• T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group (with J. Rosenberg), Advances in Theoretical and Mathematical Physics, 10 no. 1 (2006) 123-158. [hep-th/0508084]
• T-duality for principal torus bundles and dimensionally reduced Gysin sequences (with P. Bouwknegt and K. Hannabuss), Advances in Theoretical and Mathematical Physics, 9 no. 5 (2005) 749-773. [hep-th/0412268]
• L²-torsion without the determinant class condition and extended L² cohomology, (with M. Braverman, A. Carey and M. Farber), Communications in Contemporary Mathematics, 7 no. 4 (2005) 421-462. [math.DG/0406222]
• Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory, (with Y. Kordyukov and M.A. Shubin), J. Reine Angew. Math. (Crelle Journal), 581 (2005) 193 - 236. [math.DG/0305189]
• The index of projective families of elliptic operators, (with R.B. Melrose and I.M. Singer), Geometry and Topology, 9 (2005) 341-373. [math.DG/0206002]
• T-duality for torus bundles via noncommutative topology (with J. Rosenberg), Communications in Mathematical Physics, 253 no. 3 (2005) 705-721. [hep-th/0401168]
• T-duality: Topology Change from H-flux, (with P. Bouwknegt and J. Evslin), Communications in Mathematical Physics, 249 no. 2 (2004) 383 - 415 [hep-th/0306062]
• On the Topology and Flux of T-Dual Manifolds (with P. Bouwknegt and J. Evslin), Physical Review Letters, 92, 181601 (2004) [hep-th/0312052]
• T-Duality for principal torus bundles, (with P. Bouwknegt and K. Hannabuss), Journal of High Energy Physics, 03 (2004) 018, 10 pages, [hep-th/0312284]
• Some relations between twisted K-theory and E₈ gauge theory (with H. Sati), Journal of High Energy Physics, 03 (2004) 016, 21 pages, [hep-th/0312033]
• Type I D-branes in an H-flux and twisted KO-theory, (with M.K. Murray and D. Stevenson), Journal of High Energy Physics, 11 (2003) 053, 23 pages, [hep-th/0310164]
• Approximating L²-invariants and the Atiyah conjecture (with J. Dodziuk, P. Linnell, T. Schick and S. Yates), Communications on Pure and Applied Mathematics, 56, no. 7, (2003), 839-873.
• Chern character in twisted K-theory: equivariant and holomorphic cases, (with D. Stevenson), Communications in Mathematical Physics, 236, no. 1 (2003), 161-186.
• The Novikov conjecture for low degree cohomology classes, Geometriae Dedicata, (to appear).
• Approximating Spectral invariants of Harper operators on graphs II, (with T. Schick and S. Yates), Proc. Amer. Math. Soc., 131, no. 6 (2003), 1917-1923.
• Twisted K-theory and K-theory of bundle gerbes,(with P. Bouwknegt, A. Carey, M. Murray and D. Stevenson), Communications in Mathematical Physics, 228, no. 1, (2002) 17-49.
  
• Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators (with M. Shubin), Geometriae Dedicata, 91, no. 1, (2002) 155-173.
  
• Approximating spectral invariants of Harper operators on graphs (with S. Yates), J. Functional Analysis, 188 (2002), no. 1, 111--136.
  
• Twisted index theory on good orbifolds,II: fractional quantum numbers, (with M. Marcolli) Communications in Mathematical Physics, 217, no.1 (2001) 55-87.
  
• On positivity of the Kadison constant and noncommutative Bloch theory, Tohoku Mathematical Publications, 20 (2001) 107-124.
  
• D-Branes, B-Fields and twisted K-theory (with P. Bouwknegt),J. High Energy Phys., 03 (2000) 007 (11 pages).
  
• Correspondences, von Neumann algebras and holomorphic L² torsion (with A. Carey and M. Farber), Canadian Journal of Mathematics , 52, (2000) no. 4, 695-736.
  
• Quantum Hall effect on the hyperbolic plane in the presence of disorder (with A. Carey, K. Hannabuss),Lett. Math. Phys., 47 (1999) 215-236.
  
• K-theory of twisted group C^*-algebras and positive scalar curvature, Rothenberg Festschrift, Contemporary Mathematics, 231(1999) 203-225.
  
• Discrete Morse Theory and extended L² homology(with S. Yates), J. Functional Analysis, 168 (1999) 84-110.
  
• Twisted index theory on good orbifolds, I: noncommutative Bloch theory (with M. Marcolli),Communications in Contemporary Mathematics, 1 (1999) 553-587.
  
• On analytic torsion over C^* algebras (with A. Carey and A. Mishchenko), Banach Center Publications, 49 (1999) 43-67.
  
• L² invariants on covering spaces, Geometric analysis and Lie theory in mathematics and physics, eds. A. Carey, M. Murray, Australian Math. Soc. Lecture Series No. 11,pp. 209-242, Cambridge University Press (1998).
  
• Quantum Hall Effect on the hyperbolic plane(with A. Carey, K. Hannabus and P. McCann), Communications in Mathematical Physics, 190 No. 3 (1998) 629-673.
  
• On the homotopy invariance of L² torsion for covering spaces (with M. Rothenberg), Proc. Amer. Math. Soc.,126 (1998) 887-897.
  
• Von Neumann spectra near the spectral gap(with A. Carey, T. Coulhon and J. Phillips),Bulletin des Sciences Mathematiques, 122 (1998) 203-242.
  
• Approximating L² invariants for amenable covering spaces: a combinatorial approach (with J. Dodziuk), J. Functional Analysis,154 (1998) 1-21.
  
• Von Neumann algebra invariants of Dirac operators,J. Functional Analysis, 152 (1998) 1-21.
  
• Equivariant holomorphic Morse inequalities: a heat kernel proof (with S. Wu), J. Differential Geometry, 46 (1997) 78-98.
  
• Determinant Lines, Von Neumann algebras and L² torsion(with A. Carey and M. Farber),J. Reine Angew. Math. (Crelle Journal), 484 (1997) 153-181.
  
• Approximating L² invariants for amenable covering spaces:a heat kernel approach (with J. Dodziuk),Contemporary Mathematics, 211 (1997) 151-167.
  
• Homotopy invariance of Novikov-Shubin invariants and L² Betti numbers (with J. Block and S. Weinberger),Proc. Amer. Math. Soc., 125 (1997) 3757-3762.