Columbia isn’t even done shooting The Amazing Spider-Man , its Spider-Man reboot, but it has already begun working on a sequel. James Vanderbilt , who penned Amazing , will be back behind the keyboard for the continuation of the new movie franchise. Vanderbilt had a meeting with the Spider-Man filmmakers and studio execs yesterday outlining his take, getting a thumbs up, and will now begin writing. Vanderbilt has become part of the Spider-Man family at Columbia, which has enjoyed great success with a tightknit group of creative people. Vanderbilt first worked on Spider-Man 4 for the studio, back when Sam Raimi and Tobey Maguire were planning to continue the series. At the time, he was chosen for his character-driven approach to the story rather than a focus on special effects and worked on an outline for a trio of films. When the project was reconfigured into a reboot, Vanderbilt was brought over to pen the new, character-focused version. (Alvin Sargent, also a member of the Col