She then began her career teaching architecture, first at the Architectural Association, then, over the years at Harvard Graduate School of Design, Cambridge University, the University of Chicago, the Hochschule für bildende Künste in Hamburg, the University of Illinois at Chicago, and Columbia University. She earned her early reputation with her lecturing and colourful and radical early designs and projects, which were widely published in architectural journals but remained largely unbuilt. Her ambitious but unbuilt projects included a plan for Peak in Hong Kong (1983), and a plan for an opera house in Cardiff, Wales, (1994). The Cardiff experience was particularly discouraging; her design was chosen as the best by the competition jury, but the Welsh government refused to pay for it, and the commission was given to a different and less ambitious architect. Her reputation in this period rested largely upon her teaching and the imaginative and colourful paintings she made of her proposed buildings. Her international reputation was greatly enhanced in 1988 when she was chosen to show her drawings and paintings as one of seven architects chosen to participate in the exhibition "Deconstructivism in Architecture" curated by Philip Johnson and Mark Wigley at New York's Museum of Modern Art. This, a conference at the Tate in London and press coverage of her work began to not only get her name out into the architecture world, but allowed people to associate a particular style of architecture with Hadid.