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.

Curtis McMullen将继续他在动力系统理论及其拓扑分支方面的研究。其中一些工作与牛顿求方程根的算法和低次多项式的可解性有关。McMullen将研究函数场上莫德尔猜想的几何图像及其与全纯运动、水平全纯叶化和小林度规的关系。在复杂动力学领域，他将研究Kleinian群的Julia集和极限集。他还将继续他在拓扑学和方程可解性方面的工作。