The study of eigenvalue estimates in Riemannian Geometry is a dynamic area that bridges geometric analysis and spectral theory. Eigenvalue bounds not only characterise the intrinsic geometry of ...

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 ...

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 ...

We are at a critical time and supporting climate journalism is more important than ever. Science News and our parent organization, the Society for Science, need your help to strengthen environmental ...

Bernhard Riemann was a man with a hypothesis. He was confident that it was true, probably. But he didn’t prove it. And attempts over the last century and a half by others to prove it have failed. A ...