Answer
At the University of Illinois, Lauterbur was appointed in multiple departments, including the Department of Chemistry, the Department of Radiology, and the Department of Biomedical Engineering. However, Lauterbur was not appointed to the Department of Art History. This is likely because the Department of Art History is not a science or engineering department, and Lauterbur's research focused on the use of magnetic resonance imaging (MRI) for medical purposes.