It turns out that the British Embassy ruled against my Tier 1 visa request because they did not accept the signed and countersigned contract letter from Duke that stipulated my salary for last year as adequate evidence that Duke paid me that sum. The rejection notice indicates that it is not a “specified document” under paragraph 245C of the Immigration Rules. Since it was the contract under which I worked last year and I received none other, it’s a bit vexing that it doesn’t satisfy the Home Office. Apparently there’s a regulation hidden somewhere in the labyrinth of rules that determines what counts and what doesn’t — but since that regulation was not apparent when I filled out the forms, and indeed I still haven’t found it, I expect that I’m out of luck, and out $1,000 application fee (I can’t appeal the decision unless it was wrongly decided based on the documents I already sent — and since I can’t figure out what the rules are concerning “specified documents,” I can’t tell whether the matter was wrongly decided.)
[Added later: The rejection notice says that they want two different sorts of documentation for last year’s salary — not that the letter from Duke didn’t satisfy them. In that case, they did decide the matter rightly, because I didn’t submit two different sorts of documentation, although I haven’t found that requirement in the application guidance yet.]
All of this even though I have a signed contract to work at the University of Glasgow next year, so there’s no question of my being a burden on the government.
The package arrived too late for the relevant Human Resource employees at the University to step in and give their guidance; I’ll talk with them tomorrow, and we’ll presumably reapply under Tier 2, with the University sponsoring me. It will be a nuisance, it will take up extra time, and it will cost even more money, but it will work out.