Symmetries in Gravity and Amplitudes

Many remarkable properties of physical models can be traced back to the existence of some underlying symmetry. This applies to systems that differ by many orders of magnitude in scale from for example the Kepler problem of planetary motion to the Standard Model of elementary particle physics. Often these symmetries are “hidden” in the sense that they are not immediately visible in the equations.

These symmetries can highly constrain physical processes and also possible models for quantum gravity. The research group studies on the implications of symmetries, both global and discrete, at the perturbative and non-perturbative level. A recent focus is on unravelling the algebraic and number-theoretic structures of scattering amplitudes and of quantum geometry.