Surveys in Differential Geometry

Special Lagrangian fibrations, wall-crossing, and mirror symmetry

Sphere theorems in geometry

Geometric Langlands and non-Abelian Hodge theory

Developments around positive sectional curvature

Einstein metrics, four-manifolds, and conformally Kähler geometry

Existence of Faddeev knots

Milnor K₂ and field homomorphisms

Arakelov inequalities

A survey of Calabi-Yau manifolds