Complex Analysis

9704837 Barrett这个项目属于几个复杂变量的一般领域。研究课题包括：多元复杂动力系统超吸引不动点盆地的泛函理论；开放Riemann曲面上问题分析的图论方法Riemann曲面上的Seiberg-Witten度量高维生物全纯映射的边界行为。复杂变量的研究涉及以复欧几里得空间为模型的空间及其之间的映射。复数，最初是在多项式函数的研究中引入的，在简化和统一更一般的函数和映射的各个方面仍然很有用。此外，它还应用于数学的其他部分和其他科学，如动力系统和理论物理。

9704837 Barrett This project lies in the general area of several complex variables. Among the topics to be pursued are: function theory on the basins of superattracting fixed points of multivariate complex dynamical systems; graph-theoretic methods for analysis of problems on open Riemann surfaces; Seiberg-Witten metrics on Riemann surfaces; boundary behavior of biholomorphic maps in higher dimensions. Research in several complex variables deals with spaces modeled on complex Euclidean space and mappings between them. Complex numbers, originally introduced in the study of polynomial functions, continue to be useful in simplifying and unifying various aspects of more general functions and maps. Moreover, it has found applications in other parts of mathematics and other sciences such as dynamical systems and theoretical physics.