1) To academically molest a person beyond his or her intellectual breaking point, resulting in that person's dropping your class or withdrawing from your university. Usually only used in the passive voice, since the focus of the statement is primarily the person who was plauted, not the one who did the plauting.
2) The scholarly analog of forcing someone through the goatse
Taylor was always such a smug bastard. I couldn't help but laugh when he got plauted two weeks into analysis.