One reason relates to this post's title. The professor is not some generic professor. He is a professor of archaeology, more specifically, anthropology. He not only is constantly researching, checking sources, preparing notes, the class he gives focuses on life rituals.
And he appears to actually be good at his job--even if he fails occasionally as a father.
He lectures with confidence. He makes assignments. He demands that his students meet a high standard in a friendly way, without coming across as either rule-obsessed or as playing favorites (difficult since one male student is his nanny and eventually his boyfriend, though they don't become official until the class ends). He is objective. He is also something of a romantic, as befits a man who loves history. (And he likes to tease, but that archetype is a separate post.)The professor-student romance has problems. "HIStory 2" pulls it off largely due to the professor inhabiting a very relatable field and demonstrating a believable and layered personality within that field.