We want to give mathematically gifted and interested students in 10th grade and above a glimpse into mathematical research that is as authentic as possible. That is why the research week for students takes place at a real mathematical research center, the Hausdorff Research Institute for Mathematics (HIM) — a place where world-class mathematicians from around the globe conduct top-level mathematical research throughout the year. We are offering several research projects, and applicants may apply for multiple projects (indicating their preferences), though they can be selected for only one project. We plan to have 5–10 students per project, for a total of up to 30 students. The students stay overnight at the Bonn Youth Hostel and conduct research during the day, accompanied by mentors from the Bonn Mathematics Department (undergraduates, graduate students, postdocs, and professors), working in small groups just like “real” researchers do. In some cases, these are genuine research questions where even the mentors themselves do not know if or how results will emerge; in other cases, the research process is at least authentically simulated, meaning that for the students themselves, this is also mathematical research. Following initial introductory lectures and discussions, research begins as soon as possible in individual and group work. In some of the groups, English will be the language of conversation, as is customary in mathematical research. Of course, social activities are also on the agenda in the evenings. At the end of the week, the results will be presented to the other groups. Ideally, scientific publications will also result from this. We have already gained initial experience in this regard in Bonn with our student research group. Here, however, we now have an entire week and an entire research building at our disposal!