There are 12 trophies that can be earned in this title.

Bronze

Dirty Work
Unlock the level 4 engineering RIG.

Stop the clock!
Successfully complete any hack on the Leaderboards.

Ain't got time to bleed!
Successfully complete Ignition mode within 25 minutes by any route (excluding movies).

Trace Element
Successfully complete a Trace Route hack in any single player mode.

All your Trace are belong to us
Successfully complete all Trace Route hacks in any single player mode.

Stormed the Core!
Successfully complete a System Override hack in any single player mode.

Infectious
Successfully complete all System Override hacks in any single player mode.

Laser Burn
Successfully complete a Hardware Crack in any single player mode.

Planet Cracker
Successfully complete all Hardware Cracks in any single player mode.

Silver

Catch me if you can!
Complete one Ignition mode path through the Leaderboards.

Did anyone survive?
Complete Ignition Mode.

Gold

Chief Engineer
Complete all hacks in any single player mode.

http://www.ps3trophies.com/forums/trophy-news/44697-dead-space-ignition-trophy-list.html