I don't think I like the current KNIGHT vote: there's some words in there that feel blatantly like filler, and I think that referring to divine miracles as falling under "holistic thaumaturgy" would ruffle some feathers, and make it harder to get cooperation from priests and the like.
Anyway, talked myself back into WEBIR, but also into WEIRD.
[x] (BRANCH NAME) World's Edge Branch of Intersectional Research
[x] (BRANCH NAME) World's Edge Intersectional Research Department
[x] (LIBRARY) Head Librarian
[x] (LIBRARY NAME) The Library of Karak-Eight-Peaks / Kron-Azril-Ungol / The Archive of the Silvery Depths
EDIT:
Or, how about the simple approach:
[x] World's Edge Branch
1: There's an unspoken "er" at the end to make "WEBer".
2: So much punnage/wordplay possibility.
3: A three-letter acronym is less unwieldy than a five-letter acronym.
4: You can use it in actual spoken sentences better. "Hello, I'm here on behalf of the WEB" sounds a lot better than "I'm here on behalf of WEIRD/WEBER/WEBIR". The latter two are confusing, too, unless you paste "branch" at the end but then you wind up with stuff like "branch of intersectional research branch".
The biggest problem is that it doesn't really describe what the college does in the name. I'll try and find some more other words that could be used here, but maybe it's an acceptable sacrifice?
EDIT2: Or, really super simple super practical approach:
[X] Interdisciplinary Research Branch
No cleverness or tricks, just... a name that does what a name is supposed to do.