Such students may be perfectly at home with the language of an ode or a classical play, [...] [Source]
In a formal written language, isn't it grammatically incorrect to use, instead of an adjective, the adverb "perfectly" in this sentence?
In other words, based on a structure similar to the one used in that book which explains the situation of learners of English, is it correct to write: "I may be perfectly at the university with research tools, yet I find myself unable to effectively use them in real life situations" or "I am at the university with research tools perfectly, ..."
Is it possible to generalize and write: "I was closely to the cafeteria when I received the notification of your email."?
Keywords: "to be" + adverb - [adjective(s) || adverb || {"other verb" + ing}]