Pure and Applied Mathematics Quarterly

Preface

The mathematical work of H. Blaine Lawson, Jr.

A remark on calibrations and Lie groups

A note on the primitive cohomology lattice of a projective surface

Hyperbolic domains in real Euclidean spaces

Curvature in the balance: the Weyl functional and scalar curvature of $4$-manifolds

About commuting Sasaki structures

$RO(C_2)$-graded equivariant cohomology and classical Steenrod squares

The generality of closed $\mathrm{G}_2$ solitons

Quantitative differentiation for PI spaces and spaces with Ricci curvature bounded below

The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations

Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point

Positive scalar curvature on manifolds with boundary and their doubles

Covering complexity, scalar curvature, and quantitative $K$-theory

Interplay between nonlinear potential theory and fully nonlinear elliptic PDEs

Revisiting the Bel–Robinson tensor

Global behavior at infinity of period mappings defined on algebraic surface