What DIY should I do on the ceiling to prevent noise from neighbor upstairs?
Really really difficult. I had a house that I tried to insulate the noise from upstairs. I put on the upstairs floor two layers of 1/2 inch drywall covered with 3/4 inch ply (with no fasteners) and then carpet on top. It made perhaps 25 percent difference. 
If you were to hang extra layers of drywall on the ceiling, you would have to fasten it with screws and the trouble is if you drive any fasteners through your sound deadening material the sound just transmits through that "hard" point. Also if you have a recessed light or any light fixture creating a hole through your sound protection the sound projects through the hole and negates a large percentage of your protection.
Bottom line, if you can't live with it....move.