DrLashi Bandara

Research:

I am a global analyst. I use operator methods in geometry, particular when they encode geometric/topological information. I typically work with differential operators on vector bundles and analyse them through functional calculus and real-variable harmonic analysis.

My current focus is on index theory in settings with boundary. I have contributed extensively to the topic over the past 5 years, in particular upgrading Fourier circle methods with the holomorphic functional calculus. This has allowed for analysis of non-Dirac-type operators and also non-compact boundary. 

See my research tab for more details! 

Position:

I am currently a Senior Lecturer in Mathematics at the Deakin Mathematics Group at Deakin University, Burwood Campus. 

Priot to that, I was a Lecturer in Mathematics at the Department of Mathematics at Brunel University of London. 

Before that, I was a postdoc in the Geometry group at the University of Potsdam lead by Christian Bär funded via the SPP2026 - Geometry at Infinity which is a Special Priority Program of the DFG (Deutsche Forschungsgemeinschaft/German Reserach Foundation).

Previously, I did a postdoc with Andreas Rosén at Mathematical Sciences at University of Gothenburg in Sweden funded via a Knut and Alice Wallenberg Fellowship.


My PhD supervisor was the late Alan McIntosh.