Cryptic crossword No 3,543

Great puzzle, thanks! I did about 10 then revealed: not because I wasn't enjoying, rather because I don't have time for multiple full-size grids. Parsing is excellent I think, often sophisticated: e.g. 13a, nicely done. The puzzle needs a lot of general (?) knowledge that I don't have: not just theme, also say 21a and 27a. That's not a critique, just a comment. Not entirely convinced by definition in 15a. Thank you!

Enjoyed this, thanks. Knowing who the setter is helps with 3d 16d.

Very nice! 1a was my favourite, also 16d. Spoiler in reply.

Thanks for that, Skirwingle - I'm not especially familiar with the theme and originally bunged in an anagram of 8d's surname which held me up a bit but that's my fault! I especially liked 1a, 13a, 28a, 10d, and a special shout-out for 22d...