Pure Mathematics


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Mathai Varghese

Elder Professor of Mathematics, FAA FAustMS
DORA Fellow, and Director,
Insititute for Geometry and its Applications
Recent appointments & awards
Recent research interests
Recent preprints & publications
Recent ARC Grants & Postdocs
Major Conferences Co-organized
Students, Topics & Scholarships
Teaching, Administration
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Selected recent publications
  • V. Mathai, J. Rosenberg, T-duality for circle bundles via noncommutative geometry, Advances in Theoretical and Mathematical Physics (to appear) 18 pages, [1306.4198]
  • M-T. Benameur, V. Mathai, Index type invariants for twisted signature complexes and homotopy invariance, Mathematical Proceedings of the Cambridge Philosophical Society, 156 no.3 (2014) 473-503, [1202.0272]
  • R. Dey, V. Mathai, Holomorphic Quillen determinant line bundles on integral compact Kahler manifolds, The Quarterly J. of Mathematics, Quillen memorial issue, 64 (2013), 785-794, [1202.5213]
  • M-T. Benameur, V. Mathai, Conformal invariants of twisted Dirac operators and positive scalar curvature Journal of Geometry and Physics, 70 (2013) 39-47, [1210.0301] Erratum, Journal of Geometry and Physics, 76 (2014) 263-264.
  • V. Mathai and S. Wu, Topology and Flux of T-Dual Manifolds with Circle Actions, Communications in Mathematical Physics, 316 (2012) 279-286. [1108.5045]
  • P. Bouwknegt, V. Mathai and S. Wu, Bundle gerbes and moduli spaces, J. Geometry and Physics,, 62 no.1, (2012) 1-10, [1107.3687]
  • V. Mathai and S.Wu, Analytic torsion for twisted de Rham complexes, J. Differential Geometry, 88 (2011) 297-332, [0810.4204]
  • V. Mathai and J. Rosenberg, A noncommutative sigma-model, J. Noncommutative Geometry, 5 no 2 (2011) 265-294, [0903.4241]
  • V. Mathai, W. Zhang, Geometric quantization for proper actions, Advances in Mathematics, 225 no.3 (2010) 1224--1247 [0806.3138v2]
  • P. Bouwknegt, K. Hannabuss, V. Mathai, C*-algebras in tensor categories, Clay Mathematics Proceedings, 12 (2010) 127-165. [math.QA/0702802]
  • V. Mathai, R.B. Melrose, I.M. Singer, The index of projective families of elliptic operators: the decomposable case, Asterisque, 328 (2009) 255-296, [0809.0028]
  • P. Chakraborty, V. Mathai, The geometry of determinant line bundles in noncommutative geometry, J. Noncommutative Geometry, 3 no.4 (2009) 559-578. [0804.3232v2]
  • J. Brodzki, V. Mathai, J. Rosenberg, R. Szabo, Noncommutative correspondences, duality and D-branes in bivariant K-theory, Advances in Theoretical and Mathematical Physics, 13 no. 2 (2009) 497-552. [0708.2648]
  • V. Mathai, R.B. Melrose and I.M. Singer, Equivariant and fractional index of projective elliptic operators, J. Differential Geometry, 78 no.3 (2008) 465-473. [math.DG/0611819]
  • J. Brodzki, V. Mathai, J. Rosenberg and R. Szabo, D-Branes, RR-Fields and Duality on Noncommutative Manifolds, Communications in Mathematical Physics, 277, no.3 (2008) 643-706. [hep-th/0607020]