"We are often told that we should come at a problem without bias.
I disagree, you should always go into a problem with an opinion.
Nature hates hubris and you'll remember when she corrects you."
Quick links: INSPIRE publication list, LinkedIn.
About my research
Currently I am trying to develop a new framework for understanding field theories at late times and large wavelengths: quasihydrodynamics.
In the past I have worked on anisotropic scale invariance. With collaborators at the Technion in Israel I have shown that the breaking of continuous scale invariance down to a discrete subgroup is a generic feature of the landscape of scale invariant theories. In, as yet unpublished work, I have used these systems to find the first ever examples of an isolated limit cycle and a positive energy geometric tower with discrete scale invariance. For the interested layman try this work in progress.
I have also worked on an area of string theory called the "AdS-CFT" correspondence. The classic AdS-CFT correspondence, relates classical gravity in a particular geometry, called anti-deSitter space to a particular strongly coupled field theory with many symmetries. It is a precise realisation from string theory of what is believed to be a far more general story: the gauge-gravity dualities. These highly speculative dualities are holographic in nature meaning they relate a “bulk” theory in (d+1) dimensions (weakly coupled gravity) to a “boundary” theory in d dimensions (which happens to be a strongly coupled field theory). The correspondence allows us to translate the hard problem of calculating expectation values in generic strongly coupled field theories into the much easier problem of solving classical field equations in a higher dimensional spacetime.
Recent interest has focused on applying these dualities to toy models of condensed matter systems (AdS-CMT) in the hope of shedding light on some otherwise poorly understood phenomena such as high temperature superconductivity and the fractional quantum hall effect. Successes in this approach include, for example, an understanding of how quantum anomalies can have observable effects in real world fluids.
My contributions to this field include work on the non-relativistic fluid gravity correspondence and strongly coupled anyon physics, among other things.