Mathematical Sciences: Summer Institute in Dynamical Systems

首席研究员将指导建立“区域几何研究所”。研究数学家，研究生，大学预科教师和高中生将形成一个社区，目标是学习动态，同时了解每个人的特殊观点。在很大程度上，该奖项将支持“高级研究部分”，在项目的过程中，将召集世界上最重要的动力系统理论家，大学研究人员和研究生。在复杂的分析动力学，计算复杂性，吸引子，重整化，环形地图，神经网络和分形几何的研究活动将由几位专家组织。活动也安排在夏季之间。与此同时，还将通过教师培训和提高司（TPE-8954797）资助一个为期四年的项目。该项目名为“当代数学和技术作为学校改革的驱动力”，将吸引来自波士顿两个学区的大学预科教师到同一个环境中学习动态和方法，通过这些主题可以注入高中课程。在第一年，与这些项目相结合的还有一个青年学者项目（RCD-8855151），名为PROMYS项目-青年科学家数学方案。这个正在进行的项目吸引了聪明的高中生一起学习各种研究问题的动力系统，已量身定制，以他们的数学专业知识水平。三个获资助项目的参与者将有广泛的机会一起工作，互相学习。将组成混合小组进行日常讨论和实地考察。这些将从几个角度研究动力学问题。将向所有与会者提供一个设备齐全的“动态实验室”，并将其视为互动活动的协调中心。

The principal investigator will direct the establishment of a "Regional Geometry Institute." Research mathematicians, graduate students, pre-college teachers, and high school students will form a community with the goal of learning dynamics while coming to understand each individual's special viewpoint. For the most part, this award will support the "Advanced Research Component," which over the course of the project will convene the foremost dynamical systems theorists in the world, college research faculty, and graduate students. Research activities in complex analytic dynamics, computational complexity, attractors, renormalization, annular maps, neural networks, and fractal geometry will be organized by several experts. Activities are also planned between summers. Coupled to this award will be a four-year project funded through the Division for Teacher Preparation and Enhancement (TPE-8954797). Entitled, "Contemporary Mathematics and Technology as a Driving Force for School Reform," this project will draw pre-college teachers from two Boston area school districts to the same environment to learn dynamics and methods by which these topics can be infused into the high school curriculum. Also coupled to these projects in the first year is a Young Scholars Project (RCD-8855151) entitled Project PROMYS- Program in Mathematics for Young Scientists. This ongoing project draws bright high school students together to study a variety of research problems in dynamical systems which have been tailored to their level of mathematics expertise. Participants from each of the three funded projects will have extensive opportunities to work together and learn from one another. Mixed groups will be formed for day-to-day discussions and field trips. These will study dynamics problems from several viewpoints. A well-equipped "Dynamics Lab" will be made available to all participants and is seen as a focal point for interaction activities.