1 Introduction

2 Basic notions

3 Fluctuations in point processes

4 Variance and the pair correlation function

5 Poisson and other extensive systems

6 Coulomb systems
6.1 The one component plasma
6.2 Multi-component Coulomb systems
6.3 Asymptotic Normality

7 Determinantal processes

8 Perturbed lattice models

9 G processes

10 Gaussian Zeros

11 Large deviations

12 Spatial conditioning and DLR equations

13 Number Rigidity

14 Higher rigidity

15 Proof techniques

16 Outlook