How does a rat know its position in a maze? The key lies in the hippocampus, where particular neurons called place cells communicate with each other to help the animal sense where it is. A standard ...

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...

Riemannian foliations partition a smooth manifold into a collection of disjoint submanifolds, called leaves, that locally resemble parallel layers. Each leaf inherits a Riemannian metric from the ...