Archived preprints:

• Twisted K-homology and twisted Ext-theory,(with I.M. Singer), preprint 2000, 20 pages. [hep-th/0012046]
  
• Geometric quantization for proper actions (with W. Zhang, and with appendix by U. Bunke), 20 pages [0806.3138v2]
• Analytic torsion for twisted de Rham complexes, (with S. Wu), 24 pages, [0810.4204]
• Noncommutative principal torus bundles via parametrised strict deformation quantization, (with K. Hannabuss), 15 pages, [0911.1886]

Refereed publication list (since 1997) :

• A noncommutative sigma-model, (with J. Rosenberg, and with appendix by H. Li [0909.4978] ), Journal of Noncommutative Geometry, (to appear) 29 pages, [0903.4241]
• The index of projective families of elliptic operators: the decomposable case, (with R.B. Melrose and I.M. Singer), Astérisque, 327 (2009) 251-292. [0809.0028]
• C*-algebras in tensor categories, (with P. Bouwknegt and K. Hannabuss), Clay Mathematics Proceedings, 12 (2009) 39 pages, (in press). [math.QA/0702802]
• 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]
• 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.