We develop a framework based on the covariant phase space formalism that identifies
gravitational edge modes as dynamical reference frames. As such, they enable both the …

A bstract In this work we propose a simple and systematic framework for including edge
modes in gauge theories on manifolds with boundaries. We argue that this is necessary in …

A bstract We show that the phase space of three-dimensional gravity contains two layers of
dualities: between diffeomorphisms and a notion of “dual diffeomorphisms” on the one hand …

Higher gauge theories play a prominent role in the construction of 4D topological invariants
and have been long ago proposed as a tool for 4D quantum gravity. The Yetter lattice model …

A bstract Lorentzian quantum gravity is believed to cure the pathologies encountered in
Euclidean quantum gravity, such as the conformal factor problem. We show that this is the …

A bstract Lattice actions and amplitudes that perfectly mirror continuum physics are known
as perfect discretizations. Such perfect discretizations naturally preserve the symmetries of …

Asymptotic symmetries, such as the BMS group for asymptotically flat spacetimes, provide a
natural framework for describing particles in quantum gravity where spacetimes highly …

Finding a quantum theory for gravity could be the most difficult problem in physics. The direct
approach not leading to any solutions, many methodologies are explored to solve this …

The first part of this thesis addresses the canonical structure of general relativity on generic
null surfaces. The pre-symplectic potential of metric general relativity, evaluated on a null …

Quantum field theory and Einstein's theory of general relativity are extremely successful in
predicting the outcome of particle physics and gravitational experiments. For instance …