Can I wake up my Mac wirelessly over the internet?
OSX has a feature called Wake on Demand (Apple's version of Wake on Lan) which does work over Wifi but:


  Wake on Demand requires an Apple AirPort Base Station or Time Capsule
  with firmware 7.4.2 or later installed. To use Wake on Demand
  wirelessly with a WPA or WPA2 network, the AirPort base station or
  Time Capsule must be hosting the network.


Instead you can use the traditional Wake on Lan, however this requires an ethernet connection (AFAIK)...