Pure and Applied Mathematics Quarterly

Preface

Real quadratic Borcherds products

Homological duality for covering groups of reductive $p$-adic groups

Twisted composition algebras and Arthur packets for triality $\operatorname{Spin}_8$

The road to GGP

On the vanishing of adjoint Bloch–Kato Selmer groups of irreducible automorphic Galois representations

Special cycles for Shtukas are closed

Standard conjectures and height pairings

More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups