Gene expression refers to the fundamental process by which genetic information is read out to produce functional molecules such as proteins. Gene expression is intrinsically noisy due to low copy numbers of the molecules involved. Recent experimental progress in the field of biological imaging of single cells has shed light on the different sources of noise in gene expression and has spurred corresponding theoretical efforts. In this talk, I will discuss the phenomenology of noise in gene expression and discuss the use of semiclassical methods to describe the statistics of rare events.