And just after writing the post below, I discovered that a US immigration application (one of several applications needed to get a green card) got approved after 14 months. Hooray for immigration services on tax day!
UPDATE: I just wanted to add a note of thanks to the immigration staff at Cornell, who have been unbelievably helpful through all of these applications, even as I’m somewhat less closely tied to Cornell than I was when I filed the relevant applications. To make this a little topical, if there are any grad students out there today trying to decide which grad school to go to, and are worried about the prospects of dealing with U.S. immigration, Cornell students at least are in good hands.