Complex Surfaces of General Type: Some Recent Progress -- Characteristic 0 and p Analogies, and some Motivic Cohomology -- Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves -- Indices of Vector Fields and 1-Forms on Singular Varieties -- Equisingular Families of Projective Curves -- Critical Points of the Square of the Momentum Map -- Actions on Flag Manifolds: Related Cycle Spaces -- Modularity of Calabi-Yau Varieties -- Some Recent Developments in the Classification Theory of Higher Dimensional Manifolds -- Existence of Rational Curves on Algebraic Varieties, Minimal Rational Tangents, and Applications -- Special Families of Curves, of Abelian Varieties, and of Certain Minimal Manifolds over Curves -- Hodge Theory and Algebraic Cycles -- Kähler Geometry of Moduli Spaces of Holomorphic Vector Bundles.