Don't worry, you will be seeing a lot of Bradley Cooper on Oscar night as he's nominated in the best actor, best picture, and best adapted screenplay categories for "A Star Is Born" (he may even sing alongside Lady Gaga on Oscar night for the movie's nominated best original song, "Shallow"). But the Academy did not recognize him for perhaps the category that would mean the most to him, best director.
After a slew of directors and actors came in and out of the project over the years, Cooper is the one who finally had the right way to do the latest remake of the title. So having his name not called was certainly the biggest shock.
Historically, a best-picture-nominated movie not getting a best director nom is a kiss of death. But it has happened. The most recent was 2012's "Argo." Ben Affleck was not nominated for directing the movie but went on stage to accept the best picture Oscar.