“Hopefully, the professor will be able to seriously take the work on which I am presently engaged, which is, I believe, rather unique.” "Hopefully" modifies "be" and is relocated to reflect colloquial speech patterns. Banning split infinitives is a legacy of trying to bend English to Latin grammar rules. "Presently" is a synonym of "Currently". Looks like a perfectly cromulent sentence to me.
And I don't think "seriously" (or a similar adverb), when used as a complement of "take," could just move around freely. Just like you can't say "I away chased the dog."
* And, while we're at it, it's a bad idea to take seriously (haha) anyone who thinks split infinitives are wrong. You can find tons of amusing writings by actual linguists here: https://languagelog.ldc.upenn.edu/nll/index.php?s=Split+infi...
(Spoiler alert: they think the rule is BS.)