Book Review: Higher Geometry. An Introduction to Advanced Methods in Analytic Geometry

An Introduction to Rigid Analytic Geometry

These notes are intended to be a short course in rigid analytic geometry, without, however, providing always proofs. The excellent book [4] by Bosch, Güntzer and Remmert is an extensive introduction into rigid analytic geometry, and includes all the proofs I have omitted here.

An Introduction to Imaginary Geometry

This expository paper is based on the theory of imaginary geometry, due to Sheffield and Miller. We aim to explain enough of the theory for the reader to understand the main constructions and some basic interactions between them in a short time. We suppress the more technical aspects when possible to focus attention on building geometric intuition.

An Introduction to Semialgebraic Geometry

An Introduction to Randomization in Computational Geometry

This paper is not a complete survey on randomized algorithms in computational geometry, but an introduction to this subject providing intuitions and references. In a first time, some basic ideas are illustrated by the sorting problem, and in a second time few results on computational geometry are briefly explained.

Quasicrystals and geometry: a Book Review

Penrose tilings (Fig. 1) are beautiful. They also suggest significant new mathematics, so it is about time someone wrote a book about them which is readable (in fact, eminently readable) by mathematicians. The book, Quasicrystals and geometry, by Marjorie Senechal, has an even broader goal: to present certain developments in crystallography from the past decade. The developments were generated ...