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Hudsons's early career was academic, first at University College London, and then at the University of Leeds where he became Professor of Geology. In 1946 he joined the Iraq Petroleum Company and did extensive field trips to Kurdistan, British Mandate of Palestine, Iraq, and Oman. He retired from Iraq Petroleum Company in 1958, and became an Iveagh Research Fellow at Trinity College, Dublin in 1960. He was appointed to the Chair of Geology and Mineralogy there in 1961.