Professor Mathai Varghese

Australian Research Council Professorial Fellow

Office: 307 | Telephone: +61 8 8303 4173 | Personal homepage

Academic duties

Responsibility
Member of the Research Committee
Director of the Institute for Geometry and its Applications

Teaching duties

Title	Level	Semester
Distribution Theory and PDEs	4	2

Honours supervision

Thesis title	Student	Graduation
An introduction to equivariant Cohomology	Richard Green	2005

Postgraduate supervision

Thesis title	Student	Graduation
Loop groups, Higgs fields and generalised string classes	Raymond Vozzo	2009
Regularized equivariant Euler classes and gamma functions	Rongmin Lu	2008
Fundamental bigroupoids and 2-covering spaces	David Roberts
A Fourier-Mukai transform for invariant differential cohomology	Richard Green
Noncommutative geometry in string and M theory	James Wallbridge

Research interests

Research interest	Group
Differential geometry	Geometry
Index theory and noncommutative geometry	Geometry
Mathematical physics	Geometry
Mathematics of string theory	Geometry
Differential geometry	Mathematical Physics
Index theory and noncommutative geometry	Mathematical Physics
Mathematical physics	Mathematical Physics
Mathematics of string theory	Mathematical Physics

Research seminars

Title	Series
The index theorem for projective families of elliptic operators	Differential Geometry Seminar
Analytic torsion for twisted de Rham complexes	Differential Geometry Seminar

Research grants

Grant title	Funding Agency
Noncommutative geometry, K-theory and strings	AU SRGS
New approaches to index theory	ARC
New approaches to index theory and geometry	ARC
Twisted K-theory and its application to String Theory and Conformal Field Theory	ARC
Global aspects of dualities in String Theory in the presence of background fluxes	ARC
Fractional analytic index theory	ARC
New approaches to index theory	ARC
Dualities in String Theory and Conformal Field Theory in the context of the Geometric Langlands Program	ARC
Mathematics in Contemporary Science.	ARC

Selected publications

Publications
Equivariant and fractional index of projective elliptic operators Varghese, Mathai; Melrose, R; Singer, I, Journal of Differential Geometry 78 (465–473) 2008
Non-commutative correspondences, duality and D-branes in bivariant K-theory Brodzki, J; Varghese, Mathai; Rosenberg, J; Szabo, R, Advances in Theoretical and Mathematical Physics 13 (497–552) 2009
T-duality as a duality of loop group bundles Bouwknegt, Pier; Varghese, Mathai, Journal of Physics A: Mathematical and Theoretical (Print Edition) 42 (162001-1–162001-8) 2009
D-branes, RR-fields and duality on noncommutative manifolds Brodzki, J; Varghese, Mathai; Rosenberg, J; Szabo, R, Communications in Mathematical Physics 277 (643–706) 2008
Entire cyclic homology of stable continuous trace algebras Varghese, Mathai; Stevenson, Daniel, Bulletin of the London Mathematical Society 39 (71–75) 2007

Search for all publications matching "Varghese"