Teaser Trailer for SNOWDEN Starring Joseph Gordon-Levitt and Shailene Woodley July 1, 2015 SNOWDEN stars Joseph Gordon-Levitt and is written and directed by acclaimed filmmaker Oliver Stone. The script is based on the books The Snowden Files: The Inside Story of the World’s Most Wanted Man by Luke Harding and Time of the Octopus by Anatoly Kucherena.