There are a few. The laws are regulated and enforced by the FAA, so they're federal. If you're using the drone for commercial purposes, then you need a part 107 license from the FAA. There are more restrictions on the pilot this way. If the drone is just for recreational use, then you only need a TRUST certificate. It's just an online course and test. It doesn't take long, but it'll teach you the regulations you need to know.
Once the drone is in the air, it is treated like any other aircraft. This can be restricting legally, but at the same time, it protects drone pilots. For instance, Wildwood recently banned drones over their city during certain times of the year. However, they can't legally do that. All they can do is ban take off and landing on public property. Once that drone is in the air, the only regulating authority over it is the FAA.
I don't profit off of anything I do with the drone, so I don't have the part 107, but I was thinking about getting it.