Pure and Applied Mathematics Quarterly

Preface

From conjugacy classes in the Weyl group to semisimple conjugacy classes

Associated varieties for real reductive groups

Unitary representations, $L^2$ Dolbeault cohomology, and weakly symmetric pseudo-riemannian nilmanifolds

Branching laws for discrete series of some affine symmetric spaces

Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability

Schubert structure operators and $K^\ast_T (G/B)$

Harmonic analysis on $\mathsf{GL}_n$ over finite fields

Localizations for quiver Hecke algebras

Hopf–Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology