Metal to impress the music Phd

Classical guitar?

The Shadowthrone!

The Shadowthrone is great, but as a guitarist Satyr is not really impressive until Nemesis Divina which is very musically impressive especially 'the conquering: The Dawn Of A New Age'.
 
How about Celtic Frost?
Last time I checked we were talking about stuff with a degree of musicianship

Dark Tranquility - Punish My Heaven - unique, melodic, heavy. Anything off the Gallery will do, but that one is the best.
Behemoth have some pretty intense and technical stuff, Slaves Shall Serve being the fastest. Also maybe Necrophagist.
 
Except Celtic Frost wrote some of the best riffs I've ever heard in metal.

You think Dragonforce is better than Iced Earth. Please do not talk about something lacking a degree of musicianship
 
The Red In The Sky Is Ours is easily the best album mentioned here for the purposes it is going to be used for.
 
yeah i'd go with atg or gorguts, although the sad truth of the matter is that even a music phd would probably prefer opeth and dimmu
 
Necrophagist?

Farmakon maybe, they're like Opeth but the "extreme" parts are way more extreme.

Maybe Death.
 
Martyr (Can)
Ulcerate
Crimson Massacre
Gorguts - Obscura for sure!
Cynic
Cryptopsy is also ok
Pain of Salvation if you want to show him less extreme stuff.
 
Various Akercocke songs would fit.
Maybe Lykathea Aflame
New Born of Osiris is supreme.

But I definitely think Martyr should be your absolute number one choice.