Well, without having read the specific 'academy's undercover professor novel' in detail, it's hard to say exactly. But generally, it might involve a professor who is undercover in an academy for some mysterious reasons, perhaps to uncover a conspiracy or to protect someone.
One common theme is the revelation of secrets. The undercover professor usually has a hidden past or a special mission, and as the story unfolds, these secrets are gradually revealed, which keeps the readers intrigued.
One well - known 'academy undercover professor' - like novel could be 'The Irregular at Magic High School'. In this novel, the protagonist has a certain hidden identity within the academy setting which is somewhat similar to the concept of an undercover professor. He has extraordinary abilities that he doesn't fully reveal at first.
Since I haven't read the novel, I'm not sure. But I assume the undercover professor is one of the main characters. There may also be some students who get involved in the story, either by accident or because they are somehow related to what the professor is investigating.
It could be a young and brilliant detective who goes undercover as a professor. They have sharp observational skills and are used to solving mysteries.
One idea could be that the undercover professor has a secret mission to protect a special student. Maybe the student has a unique power or knowledge that dangerous forces are after. Another could be that the professor is actually from a rival academy, undercover to steal some important teaching methods.
The plot usually involves a professor who goes undercover in an academy. Maybe he's there to investigate something strange, like a secret society within the academy or some unethical practices among the faculty or students.
The theme of discovery might be prominent. As the undercover professor goes about his or her business in the story, there would be a discovery of new things in the environment, whether it's about the students, the academic institution, or some hidden secrets of the world in which the story is set. Also, there could be a theme of conflict. There may be conflicts arising from the need to keep the undercover status while also having to deal with various situations that might expose it.
I'm not entirely sure as I haven't read it in full, but typically in such a story, the undercover professor would be a main character. There might also be some key students who interact closely with the professor, either befriending or suspecting the professor's true nature.