Paul F. Lawrence was a member of Starfleet in the 24th century.
In 2370, Lawrence was listed as a Fleet Ops official on the dedication plaque of the starship USS Defiant. (DS9: "The Die is Cast")
Ensign Lawrence later served as a Starfleet officer during the Dominion War.
In 2374, files from the starships USS Akagi and USS Tecumseh reported Lawrence missing in action. Files from the USS Tripoli, USS Sarajevo and USS Zapata reported him killed. (DS9: "In the Pale Moonlight")
In 2375, Lawrence was listed as a Fleet Ops official on the dedication plaque of the starship USS São Paulo. (DS9: "The Dogs of War")
Background
Lawrence was named after production staffer Paul Lawrence. His name appeared on the casualty list display seen on a computer readout in that episode. It is unclear which of the above was his home station, if any.