REU Site: Investigations in Combinatorics, Geometry and Knot Theory

REU网站：组合学，几何和结理论的研究将在2009-2011年夏季的八周内，由八名本科生组成的小组进行重要的数学研究。在夏季课程中，参与者将通过沉浸在自己的研究中来提高他们的数学成熟度和独立性。他们将选择一个由经验丰富的教师导师介绍的研究课题，进行背景阅读和相关文献搜索，与同龄人合作，咨询导师，进行正式的演讲，独立发现，为他们的项目设计和展示海报，并写一篇期刊风格的论文。作为这些活动的结果，参与者将有一个全面的队列研究经验。完成暑期项目后，学生论文将发布在项目网站和/或提交给专业期刊。此外，将鼓励和支持与会者努力在其本国机构和有关的专业会议上介绍其成果。以这种方式向数学界广泛介绍，将进一步为参与者在数学领域的职业生涯做好准备。创造和维持一个多样化、充满活力和准备好的数学队伍的最有效方法之一是让有才华的学生在他们的职业生涯早期参与有意义的研究经历。这个项目的首要目标是帮助实现维持这样一个数学家社区的目标。该计划对多样性的承诺，积极的招募和广泛的传播将有助于确保持续的多样化人口进入数学界。让学生参与研究和整个社区不仅为他们的职业生涯做好准备，而且还让他们体会到做数学的乐趣。因此，这个项目的最终成果不仅仅是在夏季研究项目的背景下取得的直接进展和发现。这是一个多样化的、有准备的、热情的、有才华的新一代数学家，他们将在未来几年成为社区的贡献成员。

The REU Site: Investigations in Combinatorics, Geometry and Knot Theory will engage a group of eight undergraduate students in significant mathematical research for eight weeks during the summers of 2009-2011. During the summer program participants will increase their mathematical maturity and independence by immersing themselves in research. They will choose a research topic introduced by experienced faculty mentors, conduct background reading and relevant literature searches, collaborate with their peers, consult with their mentors, give formal presentations, make independent discoveries, design and present a poster for their project, and write a journal-style paper. As a result of these activities, participants will have had a comprehensive and cohort research experience. After completion of their summer projects, student papers will be posted on the program's website and/or submitted to professional journals. Moreover, participants will be encouraged and supported in their efforts to present their results both at their home institutions and at relevant professional meetings. Being introduced to the mathematical community at large in this fashion will further serve to prepare participants for careers in mathematics. One of the most effective ways to create and sustain a diverse, vibrant, and prepared mathematical workforce is to engage talented students in meaningful research experiences early in their careers. The overarching goal of this program is to help achieve the goal of maintaining such a community of mathematicians. The program's commitment to diversity, aggressive recruiting, and broad dissemination will help ensure a continued diverse population enters the mathematical community. Involving students in research and in the community at large not only prepares them for careers, but also introduces them to the exhilaration of doing mathematics. The final outcome of this program, then, is more than the immediate advances and discoveries found in the context of summer research projects. It is a new generation of diverse, prepared, enthusiastic, and talented mathematicians who will be contributing members of the community for years to come.