Synonyms for Pursue (same or very similar meaning)
WordNet sense 1 (carry further or advance):
act on, follow up on
WordNet sense 2 (carry out or participate in an activity; be involved in):
engage, prosecute
WordNet sense 3 (follow in or as if in pursuit):
follow
WordNet sense 4 (go in search of or hunt for):
quest for, go after, quest after
From the ODE community, based on WordNet
add/edit