Communicating modern mathematics and mathematical research in writing to a wide audience is a challenging yet important endeavor. Snapshots of modern mathematics from Oberwolfach take on this challenge. These are short texts on modern mathematics aimed at mathematics teachers, science journalists, undergraduate and advanced high school students as well as the interested general public worldwide. But how to present intricate mathematical concepts to an audience without much mathematical training? For example, how do you explain what a “group” is to somebody who never took algebra? We discuss examples from our editing work and present how we try to make mathematics more accessible. One focus will be on common pitfalls that occur when professional mathematician write texts for a broader audience.