Eigenvalue problems occupy a central role in Riemannian geometry, providing profound insights into the interplay between geometry and analysis. At their core, these problems involve the study of ...

Biharmonic maps extend the concept of harmonic maps by exploring critical points of higher order energy functionals. In Riemannian geometry, while harmonic maps minimise the classical energy ...

Quantum Riemannian geometry is a generalisation of geometry that allows coordinates to be noncommutative. The project will focus on a particular approach to this [1] in which differential forms are ...