Research interests:

- String theory
- AdS/CFT
- Geometry

I also have an active interest in geometry, largely stemming from the geometric structures that arise in string theory, and especially the AdS/CFT correspondence. For example, the two-dimensional surface of a perfectly round sphere has constant positive curvature, and there is a natural generalization of this notion to higher dimensions where they are called Einstein manifolds (the name comes from the close relation to Einstein's equations in general relativity). A special type of odd-dimensional Einstein manifold plays an important role in the AdS/CFT correspondence, and this has been the focus of some of my research. AdS/CFT relates such geometric objects to quantum field theories in three and four spacetime dimensions, where the geometry is effectively recast in terms of representation theory.

- Sasaki-Einstein Manifolds, invited contribution to Surveys in Differential Geometry

More generally I'm interested in any geometric structures that arise in theoretical physics.