Bachelor of Science in Engineering, Manchester University, 1907, Master of Science, 1908, Doctor of Science, 1912. Bachelor of Arts Mathematics, Cambridge University, 1911, Master of Arts, 1914, Doctor of Science, 1958. Master of Arts, University of Oxford, 1946.
Doctor of Science, University Alaska, 1958, University of Michigan, 1960, U. Colorado, 1962, U. Paris, 1962, University of Exeter, 1963, U. Newcastle, 1965, U. Sheffield, 1967.
Doctor Technology (honorary), Brunel University, 1968.
Chief assistant Royal Observatory, Greenwich, 1910-1914, 1916-1918. Lecturer mathematics Trinity College, Cambridge, England, 1914-1919. Professor Manchester University, 1919-1924, Imperial College Science and Technology, London, 1924-1946.
Professor natural philosophy University of Oxford 1946-1953.
Research associate California Institute Technology, 1950-1951. Professor geophysics U. Alaska, from 1951.
Research staff High Altitude Observatory, Boulder, Colorado, from 1955. Senior research scientist Institute Science, Technology, University of Michigan, 1959-1965.
President Special Commission International Geophysical Year, 1953-1959.
Honorary fellow Trinity College, Cambridge, 1957, Queen's College, Oxford, Imperial College, London. Recipient Antonio Feltrinelli international prize Academie Nazionale dei Lincei, Rome, 1956, Bowie medal American Geophysical Union, 1962, Symons Memorial Gold Medal Royal Meteorological Society, 1965, Hodgkins medal Smithsonian Institution, 1965.
Fellow Royal Society London (Copley medal 1964). Member, past president London Mathematics Society, Royal Meteorological Society, Royal Astronomical Society, London Physical Society, International Union Geodesy and Geophysics, International Association Meteorology, International Association Terrestrial Magnetism and Electricity, fellow American Physical Society. Member many learned societies.
Married Katharine Steinthal, March 23, 1922. Children: Cecil Hall, Robert Gray, Mary Milnes (Mistress Ian McAlley), Richard Joseph Ernest.