Light Transport; Low Wing; 2 Turboprop Eng
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 7.75
Confusion; Communication Breakdown
ATC Issue All Types; Airspace Violation All Types; Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance
Company Policy; Procedure; Human Factors
Aircraft X was on an IFR flight plan for parachute jump operations over ZPH up to FL230.  I requested the aircraft advise me two minutes from jumpers away in order to coordinate with TPA below my stratum.  The two minute call had to be solicited from the pilot.  Three minutes later; the aircraft calls up requesting vector back to the airport.  I inquired if he was jumpers away and he advised he was.  I made the call on the frequency and advised the pilot that he need to call and advise us of jumpers away.  He proceeded to argue with me that he had; so I printed strips and had management call him and advise him that per the FAR's; he needs to advise jumpers away.  This potentially causes and unsafe situation for ZJX and TPA in that we are unaware when jumpers are or have exited the aircraft.  There have been additional problems with this aircraft and the operations he has conducted.I requested Management speak with the pilot of the aircraft and remind him that when operation in Class A airspace; he is required to comply with ATC clearances and per FAR 105 he is to; at minimum; advise when the last jumper has exited the aircraft; a 'jumpers away' call.  He has not responded to our request to call us.
Requested descent after jump run ended. When asked if jumpers are away; I responded; 'Yes.' ATC believed I needed to say jumpers away; we have since discussed the situation with them and hope it is resolved.
ZJX ARTCC Controller states issue with pilot not advising jumpers away warning two minutes prior.  Pilot did not comply with instructions.