Broadly speaking, my research is aimed at developing formulations of classical and quantum field theories which are not based on "traditional" perspectives. While standard methods are good for many things, they often obscure the underlying mathematical simplicity of well-known theories (such as Yang-Mills theory or general relativity) and have no obvious relation to surprisingly compact expressions for large classes of physical observables in these theories.
Two concepts that play a major role in my work are twistor theory and string theory. Both of these shift the focus from space-time (the stage for most traditional approaches to field theory) to an auxiliary setting. A major benefit of this perspective is the ability to apply powerful mathematical techniques -- not readily accessible in space-time formulations -- to the study of physics.
A few talks I have given are on the internet:
- Double copy & Colour-kinematics on curved backgrounds, Amplitudes 2018, SLAC
- Ambitwistor strings at higher genus, Scattering Amplitudes & Beyond 2017, KITP Santa Barbara
- Perturbative gauge theory and gravity with a cosmological constant, Gravity, Twistors and Amplitudes 2016, Isaac Newton Institute
- Field theory as a string theory, Strings 2015, Bengaluru
- Aspects of perturbative gravity at null infinity, Geometry of Graviton Scattering Amplitudes 2015, Nottingham
- Twistors, gravity, and amplitudes, Physics and Mathematics of Scattering Amplitudes 2013, Simons Center for Geometry and Physics