On February 6, 2023, Priv.-Doz. Dr. Gael Rigaud and Priv.-Doz. Dr. Frederik Marks gave their inaugural lectures at the Department of Mathematics. Priv.-Doz. Dr. Gael Rigaud talked on "Compton scattering imaging: models, inverse problems and challenges" and Priv.-Doz. Dr. Frederik Marks on "Rank functions for modules and categories".