{s} having a highly intellectual quality; highly cultured or refined; snobbish, haughty
a person of intellectual or erudite tastes highly cultured or educated; "highbrow events such as the ballet or opera"; "a highbrowed literary critic
If you say that a book or discussion is highbrow, you mean that it is intellectual, academic, and is often difficult to understand. He presents his own highbrow literary programme. lowbrow
If you describe someone as highbrow, you mean that they are interested in serious subjects of a very intellectual nature, especially when these are difficult to understand. Highbrow critics sniff that the programme was `too sophisticated' to appeal to most viewers. lowbrow
() From a compound of the words high and brow, first recorded usage in 1875. Referring to the (by that time discredited) science of phrenology, which suggested that a person of intelligence and sophistication would possess a higher brow-line than someone of lesser intelligence and sophistication.