We study the subleading structure of asymptotically-flat spacetimes and its relationship to
the w1+∞ loop algebra of higher spin charges. We do so using both the Bondi–Sachs and …

These notes are a transcript of lectures given by the author in the XVIII Modave summer
school in mathematical physics. The introduction is devoted to a detailed review of the …

A bstract We address the questions of conservation and integrability of the charges in two
and three-dimensional gravity theories at infinity. The analysis is performed in a framework …

A bstract We study surface charges on a generic null boundary in three dimensional
topological massive gravity (TMG). We construct the solution phase space which involves …

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 We introduce a general framework realizing edge modes in (classical) gauge field
theory as dynamical reference frames, an often suggested interpretation that we make …

A bstract We introduce a new gauge and solution space for three-dimensional gravity. As its
name Bondi-Weyl suggests, it leads to non-trivial Weyl charges, and uses Bondi-like …

The second set of The Encyclopedia of Cosmology, in three volumes, continues this major,
long-lasting, seminal reference at the graduate student level laid out by the most prominent …

In recent years, significant progress has been made in the study of integrable systems from a
gauge theoretic perspective. This development originated with the introduction of four …

In this paper we present a torsional non-relativi-stic Chern–Simons (super) gravity theory in
three spacetime dimensions. We start by developing the non-relativistic limit of the purely …