RTG: Combinatorics, Computation, and Applications at Iowa State University

组合学和图论的数学领域研究对象之间关系的模式，并在整个数学、物理、生物、社会科学和工程中都有应用。这使得它成为培养具有强大计算技能的跨学科科学家的理想领域。这个组合、计算和应用研究培训小组（RTG）建立并扩展了爱荷华州立大学数学系在数学领域代表性不足的群体的招聘、保留、毕业和安置方面的全国公认的工作；RTG教师团队为女性、少数族裔和退伍军人提供数学榜样。该计划将使用计算，实验和应用程序来促进从学生到研究数学家的过渡，使用本科生，研究生，博士后研究人员和教师组成的团队，为学术界或工业界的成功职业生涯做好准备。在代数和几何中的组合学、极值和概率组合学以及应用组合学方面的研究项目将促进组合学和应用之间的双向思想交流。将采用轮换模式，通过使用研究团队，为研究生和本科生提供各种不同主题的广泛培训；团队的领导将由博士后同事提供。RTG将与组合学研究生研究讲习班（GRWC）合作，由RTG的学员参加，并设立GRWC前迷你课程，提供计算组合学工具的培训。指导是一个关键组成部分：RTG的教师将指导所有参与者，博士后助理和研究生将指导那些晚辈。该奖项反映了美国国家科学基金会的法定使命，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。

The mathematical field of combinatorics and graph theory studies patterns of relationships between objects, and has applications throughout the mathematical, physical, biological, and social sciences and engineering. This makes it an ideal area in which to train interdisciplinary scientists with strong computational skills. This Research Training Group (RTG) in Combinatorics, Computation, and Applications builds on and expands the Iowa State University Mathematics Department's nationally recognized work in recruitment, retention, graduation and placement of groups underrepresented in mathematics; the RTG faculty team provides mathematical role models for women, minorities, and veterans. This program will use computation, experimentation, and applications to facilitate the transition from student to research mathematician, using teams of undergraduate students, graduate students, postdoctoral researchers and faculty to prepare junior personnel for successful careers in academia or industry. Research projects in Combinatorics in Algebra and Geometry, Extremal and Probabilistic Combinatorics, and Applied Combinatorics will foster a bidirectional flow of ideas between combinatorics and applications. A rotation model will be adapted from the bench sciences to provide broad training for both graduate and undergraduate students on a variety of different topics through the use of research teams; leadership of the teams will be provided by postdoctoral associates. The RTG will collaborate with the Graduate Research Workshop in Combinatorics (GRWC), with RTG trainees participating and the establishment of a pre-GRWC mini-course providing training in tools of computational combinatorics. Mentoring is a key component: the RTG faculty will mentor all participants and postdoctoral associates and graduate students will mentor those junior to themselves.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.