Thesis-writer and native speaker here. My advisor did not like my use of the phrase "embellish on the theme of," insisting that the verb "embellish" cannot be used that way. I think I first learned the phrase during piano lessons as a kid, and I've used it in my brain-thoughts thousands of time, but now I'm not sure if it's too jargony for a math thesis. Can anyone point me to non-musical sources that use this phrase? Or perhaps another version of this phrase that requires less musical knowledge?
Additional context: I searched for "embellish on the theme of" (with quotes) in Google and it returned only 3 results. That surprises me.