I'm going to start my graduate studies in theoretical physics. My supervisor wants me to work on quantum gravity. He gave me the liberty to chose a particular approach to Quantum gravity (Excluding string theory, he does not like string theory).
So I'm thinking which approach to Quantum gravity should I chose? I have a fascination about twistor model http://en.wikipedia.org/wiki/Twistor. But I think it's not that developed fully due to lack of attention from physicists.