REU Site: Investigations in Combinatorics, Geometry and Knot Theory

REU网站：组合学、几何学和纽结理论的调查将在2009-2011年的暑假期间，邀请八名本科生进行为期八周的重要数学研究。在暑期期间，项目参与者将通过沉浸在研究中来提高他们的数学成熟度和独立性。他们将选择由经验丰富的教师导师介绍的研究主题，进行背景阅读和相关文献搜索，与同行合作，咨询他们的导师，进行正式演讲，做出独立发现，为他们的项目设计和展示海报，并撰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和队列的研究经验。在完成他们的暑期项目后，学生的论文将被发布在该项目的网站上和/或提交给专业期刊。此外，将鼓励和支持与会者努力在本国机构和相关专业会议上介绍他们的成果。以这种方式被介绍给整个数学界，将进一步帮助参与者为数学生涯做好准备。创造和维持一支多样化、充满活力和有准备的数学队伍的最有效方法之一是让有才华的学生在职业生涯早期就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。该项目致力于多样性、积极招聘和广泛传播，这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，还让他们接触到做数学的乐趣。因此，这个项目的最终结果不仅仅是夏季研究项目中的直接进展和发现。这是新一代多元化的、有准备的、热情的和有才华的数学家，他们将在未来几年为社会做出贡献。

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.