"Swot" was a common word when I grew up in England. I can't even think of an alternative word to describe someone who is, indeed, a swot (though it's not the nicest word to use to describe someone).

I've ever heard "Sweat" used like that before, though.

Yes, related!
OED says, "A variation of sweat [OE] that started life as army slang, apparently in imitation of a Scottish professor of mathematics at Sandhurst Royal Military College. Swot was first ‘studying, school, or college work’, which was transferred to someone who studies hard or excessively..."

I heard a lot of “sweaty” this Halloween listening to “Werewolf Bar Mitzvah” on repeat. It was from a 2007 30 Rock episode, but the expanded, “sweaty” version came out at some point after, sometime between then and the 2010 soundtrack release.

I’m about your vintage and “swot” was in very common usage growing up in Ireland …. Describes someone who is super competitive about scoring highly in all their school subjects, usually a term of derision.

As a Brit I've come across swot a lot, but never made the connection to sweat. That's new.

If I were to describe a swot it would be someone that's a bit nerdy, who revises hard for exams.

When I was at uni, people who studied really hard and were very focused on their work were called "girly swots".

A quintessential swot would be Cuthbert Cringeworthy from the long-running serial comic "The Bash Street Kids" in the British weekly comic magazine "Beano." (A beautifully anarchic form of children's literature that doesn't have a real equivalent in the US). See https://en.wikipedia.org/wiki/The_Bash_Street_Kids where C.C. is defined as one who 'swots.'

From the OED:

According to the mathematician T. S. Davies (Notes & Queries (1850) 6 Apr. 369/2) the term originated at the Royal Military College, Sandhurst (earlier at Great Marlow) in the early 19th cent. and was coined by students in the class of William Wallace, instructor in mathematics at this institution from 1803 to 1819: 'Wallace..had a bald head, and an exceedingly 'broad Scotch' accent... It happened on one hot summer's day..that he had been teaching a class, and had worked himself into a considerable effusion from the skin. He took out his handkerchief, rubbed his head and forehead violently, and exclaimed in his Perthshire dialect, — "It maks one swot." This was a God-send to the 'gentlemen cadets, wishing to achieve a notoriety as wits and slangsters; and mathematics generally ever after became swot, and mathematicians swots. I have often heard it said: — "I never could do swot well, Sir"; and "these dull fellows, the swots, can talk of nothing but triangles and equations".

In American engineering college a few decades ago, swots were called "grinds",

Jason, do I potentially have a treat for you! Have you ever run across the Molesworth books -- Down With Skool!, How to be Topp, etc? They are English comedy books from the 50's with brilliant drawings by Ronald Searle, all written in the voice and slang of public school boy of the era.

You made me think of them, as on the first page of the first book, our hero Molesworth says: "The only good things about skool are BOYS wizz who are noble brave fearless etc. although you hav various swots, bulies, cissies, milksops, greedy guts and oiks with whom i am forced to mingle hem-hem. In fact any skool is a bit of shambles AS YOU WILL SEE."

Archive.org link: https://archive.org/details/downwithskool0000will

Here in Adelaide, Australia and also some other Australian cities, the week long period before university exams is officially known as SWOTVAC. I always thought that the term was a blend of the two words "swot" and "vac" but a quick Google tells me that in current usage, SWOT is a backronym for Study Without Teaching.