Master, Auckland Grammar School, 1926-1927. Lecturer mathematics Auckland U., 1928-1939. Senior lecturer mathematics Melbourne U., 1940-1945.
Professor applied mathematics U. Sydney (Australia), 1946-1971. Special lecturer mathematics physics Hull (England) University College, 1933. Einstein Memorial lecturer Australian Institute Physics, 1959, Harricks lecturer, 1963.
President International Association Seismology and Phsics Earth’s Interior, 1954-1957. Vice president International Science Committee Antarctic Research, 1958-1962, International Union Geodesy and Geophysics, 1963-1967. Chairman Australian nat. committee for I.G.Y., 1955-1960.
Senior University scholar pure and applied mathematics U. New Zealand, 1925. Strathcona exhibitioner St. John’s College, Cambridge U., 1932-1933. Lyle medallist Australian National Research Council, 1951.
Foundation fellow Australian Academy Science, 1953. Walter Burfitt prizeman Royal Society New South Wales, 1953, Hector medalist, Royal Society New Zealand, 1952. Flinders lecturer, medallist Australian Academy Science, 1969.
Pontifical Academician, 1968 Gold medallist Royal Astronomical Society London, 1974.