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July 2020

Professor Mathai Varghese

Elder Professor of Mathematics, Australian Laureate Fellow, Fellow of the Australian Academy of Scie

Office: 731 | Telephone: +61 8 8313 4173 | Personal homepage

Academic duties

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

Honours supervision

Thesis titleStudentGraduation
Birkhoff factorisation applied to holomorphic bundles 2011
Tannaka-Krein DualityMichael McInerney2010
An introduction to equivariant Cohomology Richard Green2005

Master of Philosophy supervision

Thesis titleStudentGraduation
Loop groups, representations and K-theoryRyan Mickler
Non-commutative geometry methods In number theory

Doctor of Philosophy supervision

Thesis titleStudentGraduation
Noncommutative geometry in string and M theoryJames Wallbridge2011
A Fourier-Mukai transform for invariant differential cohomologyRichard Green2011
Fundamental bigroupoids and 2-covering spacesDavid Roberts2010
Loop groups, Higgs fields and generalised string classesRaymond Vozzo2009
Regularized equivariant Euler classes and gamma functionsRongmin Lu2008

Research interests

Research interestGroup
Differential geometryGeometry
Index theory and noncommutative geometryGeometry
Mathematical physicsGeometry
Mathematics of string theoryGeometry
Differential geometryMathematical Physics
Index theory and noncommutative geometryMathematical Physics
Mathematical physicsMathematical Physics
Mathematics of string theoryMathematical Physics

Research seminars

The index theorem for projective families of elliptic operatorsDifferential Geometry Seminar
Analytic torsion for twisted de Rham complexesDifferential Geometry Seminar
Index type invariants for twisted signature complexesDifferential Geometry Seminar
Spherical T-dualityDifferential Geometry Seminar
Spherical T-duality: the non-principal caseDifferential Geometry Seminar
Geometric analysis of gap-labellingDifferential Geometry Seminar
Geometry of pseudodifferential algebra bundlesDifferential Geometry Seminar