Surveys in Differential Geometry

Preface

Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations

Rigidity and minimizing properties of quasi-local mass

Lojasiewicz inequalities and applications

The regularity of solutions in degenerate geometric problems

Algebraic families of constant scalar curvature Kähler metrics

Hermitian-Yang-Mills connections and beyond

Interior a priori estimates for the Monge-Ampère equation

Dispersive geometric curve flows

Regularity of stable minimal hypersurfaces: Recent advances in the theory and applications