RTG: Dynamics: Classical, Modern, and Quantum

该研究培训小组项目旨在加强动力学领域的研究。动力学是一个充满活力的数学领域，起源于庞加莱在天体力学中的工作，旨在描述机械系统和这些系统的抽象模型的时间演化。西北大学的十名教师是垂直整合活动中领先的本科生，研究生和博士后研究人员，以提高他们的教育和专业发展。更大的目标是增加美国那些准备好在数学科学领域开展工作的研究人员的数量，重点是增加历史上代表性不足的群体的数量。参与教师的专业涵盖了广泛的动力学领域，并与数学的许多其他领域，包括数论，组合学，偏微分方程，量子力学，群论，概率和表示论相互作用。该项目包括暑期主题学校，研究研讨会和本科生的研究经验，这将加强美国各地的培训，以及修订和扩大课程和其他活动，将有利于研究生和本科生。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This Research Training Group project aims to enhance research in the field of dynamics. Dynamics is a vibrant area of mathematics, originating with the work of Poincaré in celestial mechanics, that aims to describe the time evolution of mechanical systems and of abstract models of such systems. Ten faculty members at Northwestern University are leading undergraduates, graduate students, and postdoctoral researchers in vertically integrated activities to enhance their education and professional development. The larger goal is to increase the number of researchers in the US who are well prepared to carry out work in the mathematical sciences, with a focus on increasing the numbers from historically underrepresented groups. The specialties of the participating faculty cover a wide range of dynamical fields and interact with numerous other areas of mathematics, including number theory, combinatorics, partial differential equations, quantum mechanics, group theory, probability, and representation theory. The project includes summer thematic schools, research workshops, and research experiences for undergraduates that will enhance training across the US, as well as revision and expansion of the curriculum and other activities that will benefit graduate students and undergraduates. The improved training is designed to lead to greater competitiveness for US citizens and permanent residents at every level.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.