He later left the Robin mantle and adopted the alias, Red Robin.
In the New 52 continuity, Tim was Red Robin to begin with and became leader of the Teen Titans
Comics (Pre New 52)
Batman & Robin
Issue 5: Father and Son
Comics (New 52)
Tim texts Bruce, indicating he doesn't want to join Bruce on night patrol after his torture by the Joker.
The New Batman Adventures: Episode 2
Sins of the Fathers