I think it may be worth adding to the details given by Duncan Melville (reproduced below) that, if my memory servers me correctly, Heath got his knighthood and other civil decorations for his work at the Treasury, not for his academic work. In fact, his interest and involvement in history to some extent hindered his situation at the Treasury because it took up too much of his time and effort so that, instead of being promoted to a position of high (highest?) authority there, he was moved, along with a dual who worked alongside him. I'm not sure, but I think that he may have become Comptroller of the National Debt.
I'm not entirely certain about all of this, so perhaps someone who does know the details better might correct or dismiss it. I do recollect reading a long obituary of him that dealt almost entirely with his administrative life, and with no mention of his mathematical work.
When Ivor Bulmer-Thomas (author of the Loeb volumes 'Selections Illustrating the History of Greek Mathematics and of many of the items on Greek mathematicians in the DSB) died, his very long obituaries in the Guardian, Times, and Daily Telegraph didn't even mention this aspect of his interests! Some similar things may have happened with Paul Tannery, who worked in the French governmental tobacco service.
But corrections and amplifications must surely be needed to this general bit of rambling.
At 11:17 am -0400 5/6/02, Duncan Melville wrote:
<< The Osiris article cited earlier, by David Eugene Smith, has the dates you are looking for. It is well worth reading and I thoroughly recommend it to anyone with any interest in T.L. Heath.
Dates: Cambridge BA - 1883. Joined Treasury - Sept. 1884. Cambridge MA - 1886. Cambridge Sc.D. - 1896. Companion of the Bath (C.B.) - 1903. Knight Commander of the Bath (K.C.B.) - 1909. Fellow of the Royal Society (F.R.S.) - 1912. Oxford Hon. D.Sc. - 1913. Knight Commander of the Royal Victorian Order (K.C.V.O.) - 1916. Honorary Fellow of Trinity College, Cambridge - 1920. Dublin Hon.Litt.D. - 1929.
Aside from his mathematics, he worked full time in the civil service until his retirement in 1926. >>