Asking /sci/ because /g/ are mouth breathers retard.

My goal is to write a DAW VST.

But at the same time I think this is an oportunity to challenge myself and finally get my hand dirty.
So, I wanna know what are the topics I need to learn before trying my project.

So far I know I need audio programming and C++

So It seems I need to learn audio engineering as well as computer science (audio and C++).
Ok, fair enough.

But what are the topics I need to learn to archieve this goal?