Most statutes regarding stalking or harassment can be enforced in either the location where the unwanted communications originate or where they are received. So, if these communications rise to the level of a crime, it could be prosecuted either in Georgia (where you receive them) or in Florida (where he originates them). However, it is more likely that the police in the jurisdiction where he is will take action.

The real question is whether his communications rise to the level of a crime. I would suggest researching the language of the stalking/harassment statutes in Florida. If you believe that his actions qualify as criminal acts, contact the police department local to where he lives and file a report.

You can read the Florida Stalking statute here.