We study the curvature of the moduli space Mg of curves of genus g with the Siegel metric induced by the period map $j:M_g \to A_g $. We give an explicit formula for ...

The Total Scalar Curvature plus Total Mean Curvature functional is defined on the space of Riemannian metrics of a smooth compact manifold with boundary. We characterize its critical points restricted ...

Peter Belhumeur just wanted to know what type of tree was outside his apartment. He scanned field guides, looking for willowlike leaves with a wavy, spiked edge, but he couldn’t find the right one.

The spine, or backbone, is made up of small bones (vertebrae) stacked -- along with discs -- one on top of another. A healthy spine, when viewed from the side, has gentle curves to it. The curves help ...