Generative AI has the potential to transform writing in schools and universities. This makes it necessary to develop training programmes for writing with AI, especially for students in teacher training. So far, however, little is known about the students' initial preconditions on which the trainings can be based upon. Evidence so far has come mainly from observational studies and questionnaire studies examining the frequency and type of AI use. However, the students themselves were not considered, nor the extent to which they can be categorised into groups. In other words, the focus has been on the writing rather than on the writers. To address this gap, the present article analyses data from a survey of N=505 students. To identify writer profiles, i.e. groups of students with comparable characteristics, we apply two-step cluster analysis. The students are clustered based on their use of AI for writing, as well as their level of awareness of AI applications, AI literacy, digital media literacy and writing-related self-concept. The results reveal four clusters, the two largest of which are characterised by the fact that students tend not to use AI, sometimes because they apparently have no awareness of AI, sometimes despite having such awareness. Merely one cluster, which describes 20% of the students, is characterised by regular use of AI for writing. The results therefore provide a useful insight for planning training in the context of university teaching.