Research

 Bulk Reconstruction in AdS/CFT 

Unifying gravity with quantum theory is an open problem in theoretical physics. The closest we have to a complete theory is AdS/CFT correspondence. This says that a theory of quantum gravity in a certain type of spacetime (called asymptotic AdS) is secretly the same as a conformal field theory (CFT) living on the boundary of said spacetime.

However, the mapping between the two theories is known only partially. We know how to translate some of our questions about physics in AdS to questions about the CFT, but not others. The aim of the "bulk reconstruction" program is to map the observable quantities of the  gravitational theory in the AdS to the operators of the CFT.  Over the last decade or so, we have realized that the map between the two theories is highly non trivial. 

I am trying to understand some aspects of this map.

The complete list of my publications can be found here.