Most everyone recognizes that Professor Williams is a great teacher and researcher and many will be sorry to see him retire at the end of this academic year. Brad, on the other hand, has told people "it's about time that old relic, that geezer, retires. He's WAY too old to still be in the classroom." This is an example of

Hate Speech

Explanation:

Brad's words against Professor Williams are an example of hate speech because of the virulence, and violence embedded in the adjectives that he is using.

Brad is using his speech to discriminate against Professor Williams on the basis of a quality that the professor cannot control: his age. This is hate speech because Brad is not considering other aspects such as his intellectual capacity, teaching ability, or interpersonal skills when assessing his character.