Hildigunnur holds a Cand. Arch. Degree from Kunstakademiets Arkitektskole in Copenhagen and has worked as a designer in architectural firms as well as working independently as a researcher, consultant and artistic director in the field of architecture and man-made environments. Hildigunnur has extensive experience in teaching and academic work. She has been a part-time lecturer at the Iceland University of the Arts since 2006. She has been a visiting lecturer in many countries, e.g. at Yale School of Architecture, Kunstakademiets Arkitektskole in Copenhagen, KTH in Stockholm, UIB in Bergen and UCLA and MIT Universities in the United States.