Mathematical Sciences: "Holomorphic Convexity of Complex Manifolds"

研究内容包括几种复变量和复几何的全纯凸域。特殊问题涉及到复流形覆盖空间的拓扑和几何类及其相关的函数理论。提案中涵盖的主题涵盖了几个复杂变量和相关几何分析的几个重要方面。除了与其他数学领域相关外，这些技术传统上也应用于数学物理和工程科学的几个分支，如弹性理论和空气动力学。＊＊＊

The research covers aspects of holomorphically convex domains in several complex variables and complex geometry. Particular questions relate to the topology and geometry of classes of covering spaces of complex manifolds and their related function theory. The topics covered in the proposal cover several important aspects of the analysis of several complex variables and related geometry. Besides their relevance to other areas of mathematics, the techniques have by tradition had applications to mathematical physics and several branches of the engineering sciences such as elasticity theory and aerodynamics. ***