Reluctantly Helping the Villainess and Others

Transmigrated into the Aurelian Empire, a fictional place in a book series, Gettorix Batvi is plagued with too much knowledge.  Back on Earth, he read just about every piece of media related to Aurelia.  Ignorance would be bliss.  But, he knows of the problems faced by many in the empire.  He even knows how to solve some of them.  But, Gettorix has never been the leading man before and he never planned on it. The first priority is navigating the Royal Academy and its infamous villainess Catarina Severian.  But that's just the first step.  If he can solve those problems, court intrigue, noble squabbles, heinous crimes, and empire level threats are all down the road waiting to disrupt his new life.