Much of the last 2 decades of my career has been as much principal work as I can get, and everything I know says you smacked this ball out of the park.

First, if the title is real, then the term Principal carries serious weight, and hews as closely as possible to the best definitions of Principal Investigator (yah, academia has been busy making a mess of that)

More often than not, a good PI knows that all problems don't need the most powerful solution, some just need to go away. If a claimed principal is always applying the most complex solution everywhere, then they're bad at their job.

A good 1/3rd of my benefit is not going 'zomg - a hard problem' to my co-workers, its the exact opposite. And even when it is a hard problem, at least half the time then it's 'Don't worry - here's what Djikstra/whomever did to solve it'

I love advanced algorithms, and relish the chance to actually go try and make ones - that said, my main value is not that, its that some horrible new problem erupts, my job is to say, 'no, calm down. That's an old problem in a new suit'

That said, switch isomorphic to homomorphic - I'll give the seniors credit, they usually tag the isomorphic cases . :-)