RTG: Dynamics: Classical, Modern, and Quantum

这个研究培训小组的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Poincaré在天体力学中的工作，旨在描述机械系统和这种系统的抽象模型的时间演化。西北大学的10名教职员工带领本科生、研究生和博士后研究人员开展垂直整合活动，以加强他们的教育和专业发展。更大的目标是增加美国准备好开展数学科学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，并与许多其他数学领域相互作用，包括数论、组合学、偏微分方程式、量子力学、群论、概率和表象理论。该项目包括暑期主题学校、研究研讨会和本科生研究体验，这些将加强美国各地的培训，以及修改和扩大课程，以及其他将使研究生和本科生受益的活动。经过改进的培训旨在为美国公民和永久居民带来更大的各级竞争力。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势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.