A fundamental challenge of the current era in theoretical physics is to understand and solve strongly coupled quantum field theories (QFTs). Meeting this challenge will necessitate a significant reformulation of the edifice of quantum field theory in which the foundations are symmetries and consistency conditions. In recent years enormous progress has been made in our understanding of QFTs based on these principles and it has become clear that many new fundamental results can be obtained in the near future. To do so it is essential to uncover the underlying organising principles by joining different facets rarely considered together. Combining cutting edge methods for the study of strongly coupled conformal field theories with the development of new techniques is the main goal of the project "Constraining strongly coupled quantum field theories using symmetry".
