Pure and Applied Mathematics Quarterly

Preface: volume in honor of Demetrios Christodoulou

On the non-existence of trapped surfaces under low-regularity bounds

Initial data on big bang singularities in symmetric settings

Masses at null infinity for Einstein's equations in harmonic coordinates

Radiation and Asymptotics for Spacetimes with Non-Isotropic Mass

Supertranslation invariance of angular momentum at null infinity in double null gauge

Null Penrose inequality in a perturbed Schwarzschild spacetime

Remark on the nonlinear stability of Minkowski spacetime: a rigidity theorem

Brief introduction to the nonlinear stability of Kerr

Semi-global controllability of a geometric wave equation

Derivation of the half-wave maps equation from Calogero–Moser spin systems

$H^{\frac{11}{4}}(\mathbb{R}^2)$ Ill-Posedness for 2D Elastic Wave System

Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type

Covariant guiding laws for fields

On tidal energy in Newtonian two-body motion with infinite initial separation