To express his ideas mathematically, Einstein needed new math : Riemannian Geometry: In 1912, Einstein’s friend Marcel ...

The term “moduli space” was coined by Riemann for the space $\mathfrak{M}_g$ parametrizing all one-dimensional complex manifolds of genus $g$. Variants of this ...

One of the most significant of these questions is the Riemann hypothesis. At its core, the Riemann hypothesis seeks to find and study the pattern and distribution of prime numbers as they get larger ...

Over the last decades, it has been used to prove several significant conjectures in Riemannian geometry and topology (in dimension three). In this project we focus on Ricci flow in higher dimensions, ...