1: Methods of Partial Differential Equations. - Boundary behavior of holomorphic mappings. - Invariant metrics on pseudoconvex domains. - Local bounds for orders of contact and a conjecture about subellipticity. - On an ideal of ring of differential operators. - Microlocalization of CR structures. - A note on the boundary Laplacian operator. - 2: Methods of Differential Geometry. - Géométrie des compactifications des espaces hermitiens localement symétriques. - Holomorphic projective structures and invariant distances. - Complex-analyticity of harmonic maps and vanishing theorems. - The characterization of strictly parabolic spaces. - The characteristic numbers of 4-dimensional Kähler manifolds. - On the Schwarz lemma for complete hermitian manifolds. - Holomorphic maps and conformal transformation on hermitian manifolds. - The degree of strong nondegeneracy of the bisectional curvature of exceptional bounded symmetric domains. - 3: Holomorphic Vector Bundles. - Holomorphic vector bundles on tori. - Submanifolds of projective space with semi-stable normal bundle. - Parameters for instanton and smoothness of M(02). - 4: Kernels and Integral Formulae. - The integral representation for polyhedral domains of ?n. - Removable singularities for holomorphic functions which satisfy the area-BMO condition. - Singular integrals in several complex variables. - Integral formulae in complex analysis. - On the representative domain. - A remark on Poisson kernels. - Some applications of Bochner-Martinelli integral representation. - 5: Pseudoconvexity Function Fields Algebraic Varieties Value Distribution Theory. - Some aspects of pseudoconvexity theory in several complex variables. - A higher dimensional analogue of Mordell's conjecture over function fields and related problems. - Rank-completefunction fields. - Chern classes on algebraic varieties with arbitrary singularities. - A general criterion. - Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension three. Language: English