Grimmjaw: Dead or Alive

Where is Grimmjaw? Is he Dead or Alive? During his battle with Ichigo, where he was seemingly defeated from Ichigo's last attack he suddenly rose back and refused to lose to Ichigo but before he can fight back he is cut down by Nnoitra and left for dead. But there was no confirmaton from Tite Kubo on weither or not Grimmjaw is dead. But If he is still alive knowing him he is most likely ruling Hueco Mundo.