Professor Mathai Varghese

Australian Research Council Professorial Fellow, Fellow of the Australian Academy of Science

Office: 731 | Telephone: +61 8 8313 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
Topology and Analysis III	3	1
Topics in Analysis IV	4	2

Honours supervision

Thesis title	Student	Graduation
Tannaka-Krein Duality	Michael McInerney	2010
An introduction to equivariant Cohomology	Richard Green	2005

Master of Philosophy supervision

Thesis title	Student	Graduation
Loop groups, representations and K-theory	Ryan Mickler
	Konrad Pilch

Doctor of Philosophy supervision

Thesis title	Student	Graduation
Noncommutative geometry in string and M theory	James Wallbridge	2011
A Fourier-Mukai transform for invariant differential cohomology	Richard Green	2011
Fundamental bigroupoids and 2-covering spaces	David Roberts	2010
Loop groups, Higgs fields and generalised string classes	Raymond Vozzo	2009
Regularized equivariant Euler classes and gamma functions	Rongmin Lu	2008

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