Scattering amplitudes are prominent physical quantities which describe the interactions between particles. A traditional method to compute them perturbatively are Feynman rules derived from the Lagrangian. This standard approach has made possible huge progress in giving theoretical predictions relevant for experiments at high-energy colliders, such as the Large Hadron Collider at CERN. However, there is strong evidence that more fundamental, underlying principles have yet to be discovered. This is very apparent for integrable Quantum Field Theories, such as maximally supersymmetric Yang-Mills theory (MSYM), where new insights are provided by, for instance, infinite dimensional symmetries and novel geometric formulations for amplitudes.
In particular, our research focuses on: