Algebraic geometry and the theory of complex manifolds together form a foundational pillar of modern mathematics, interweaving geometric intuition with algebraic precision. Algebraic geometry studies ...

Grothendieck is revered in the world of math; outside of it, he’s known for his unusual life, if he’s known at all. But what ...

Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is ...

Complex geometry studies spaces that locally resemble complex coordinate systems and examines their intrinsic curvature and topological properties. Central to this field is Kähler geometry, where a ...