3 papers
math.AP2025
A hitchhiker's guide to first-order elliptic boundary value problems
Christian Baer, Lashi Bandara
To empower the mathematical hitchhiker wishing to use operator methods in geometry and topology, we present this user's guide to first-order elliptic boundary value problems. Exist…
math.DG2025
The space of rough Riemannian metrics
Lashi Bandara, Anisa Hassan
On a smooth connected manifold, we consider all possible locally elliptic and locally bounded measurable coefficient Riemannian metrics called rough Riemannian metrics. We equip th…
math.DG2018
Functional calculus and harmonic analysis in geometry
Lashi Bandara
In this short survey article, we showcase a number of non-trivial geometric problems that have recently been resolved by marrying methods from functional calculus and real-variable…