Book of Donmon Teith

A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.

The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in

The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimensi

A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.