By Sven Leyffer, Volker Mehrmann, Jill Pipher, Ami E. Radunskaya, Wil Schilders, and Carlos Vázquez The 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019) in Valencia, Spain, featured a special panel on mathematical science careers in academia and industry. Panelists Sven Leyffer (Argonne National Laboratory), Volker Mehrmann (European Mathematical Society (EMS) and Technische Universität Berlin), Jill Pipher (American Mathematical Society and Brown University), Ami E.