Definition of "head up"

head up

verb
third-person singular simple present heads up, present participle heading up, simple past and past participle headed up
1. (transitive) To lead or take the lead in; to direct; to take charge of.
  Quotations
  The gym’s proprietor, “Crazy” Tim Credeur, heads up the Gladiator Academy, which serves as a pipeline for amateur MMA fighters to move up the ranks, though few of them do.
  April 19 2002, Scott Tobias, AV Club Fightville
2. (transitive) To close (a cask, barrel, etc.) by fitting a head to it.
3. (nautical) To turn towards the wind