Mathematical Sciences: Presidential Young Investigator

数学科学：总统青年研究员

• 批准号: 8857796
• 负责人: Curtis McMullen
• 金额: $ 17.17万
• 依托单位: Princeton University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8857796&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Presidential; Young; Investigator

Curtis McMullen will continue his research in dynamical systems theory and its topological ramifications. Some of this work is related to Newton's algorithm for finding roots of equations and to the solvability of polynomials of low degree. McMullen will investigate a geometric picture of the Mordell conjecture over function fields and its relation to holomorphic motions, horizontally holomorphic foliations and the Kobayashi metric. In the realm of complex dynamics he will study Julia sets and limit sets of Kleinian groups. He will also continue his work in topology and solvability of equations.

柯蒂斯·麦克穆伦（Curtis McMullen）将继续他在动态系统理论及其拓扑结构方面的研究。这项工作中的一些与牛顿的算法有关，以查找方程根和低度多项式的溶解度。 麦克穆伦（McMullen）将研究莫德尔（Mordell）在功能场上的几何图片及其与霍明型运动，水平霍尔晶叶和kobayashi公制的关系。在复杂动力学的领域，他将研究朱莉娅集合并限制克莱恩群体的集合。他还将继续在方程式的拓扑和解决性方面工作。