My main scientific interest is the development of quantum gravitation from the point of view of Holography. According to this proposal, the fundamental description of quantum gravity uses degrees of freedom on boundaries of spacetime, which itself becomes an emergent, approximate notion. The starting point is the famous Bekenstein-Hawking formula for the entropy of a black hole, S=A/4. This expression builds a new bridge between geometry and information theory, and the holographic program tries to derive the emergence of the approximately local physics of General Relativity and Quantum Field Theory from a more fundamental theory defined on boundaries.
The celebrated AdS/CFT correspondence is the basic working example, with a well defined mathematical formulation. In the last decade, it has become clear that the emergence of Anti de Sitter (AdS) spacetime is linked to massive patterns of entanglement in strongly coupled Conformal Field Theories (CFT) and furthermore the amount of emergent space is related to the complexity of this quantum entanglement.
Beyond the reverse-engineering of AdS/CFT to understand the workings of holography, the generalisation of these ideas to quantum gravity in asymptotically flat spacetime or even nontrivial cosmologies remains a realm of fascinating speculation.