Mount Holyoke Undergraduate Mathematics Summer Research Institute

曼荷莲本科数学暑期研究所

• 批准号: 0849637
• 负责人: Janice Gifford
• 金额: $ 36.75万
• 依托单位: Mount Holyoke College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-05-15 至 2014-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0849637&HistoricalAwards=false
• 关键词: Mount; Holyoke; Undergraduate; Mathematics; Summer

Mount Holyoke College proposes to continue operating a mathematics and statistics summer research site for undergraduates. Each summer, for the next five years, we envisage selecting ten students from a diverse array of U.S. colleges and universities to engage in mathematical or statistical research. These students shall work in groups of five, each group carrying out a different project under the supervision of a faculty member. The projects will be rooted in mainstream areas of mathematical or statistical research and will often involve computer experimentation and computation. One of the messages we intend to communicate strongly to the students is the power of examples to illuminate, and possibly transcend, current impasses in purely theoretical strategies. The two groups will meet separately several times a day but there will also be ample (structured and unstructured) opportunities for students in the different groups to exchange ideas. Students will organize and participate in their own speaker series, give weekly talks/reports in the program's research seminar, and will be encouraged to attend and participate in local and national meetings. We intend to simulate, as best we can, what life at a research institute feels like. For summer of 2009, Jessica Sidman's group will investigate questions in computational algebraic geometry and commutative algebra while Giuliana Davidoff's group will be involved with a number theory investigation.Our research projects are substantial and mainstream. The intense exposure that we provide, along with the intimacy of small working groups, facilitate and support learning of very deep and abstract concepts in a concrete and non-superficial way. Through the REU the students are strengthened in their enthusiasm for mathematics and statistics; they learn how to effectively communicate mathematical or statistical ideas; they develop confidence in their ability to take a new concept and, through experimentation with examples and questioning, build intuition for it. This experience also serves as a bridge to graduate school for those students who pursue that path. Often the foundational material that is covered in the first couple of weeks of the program coincides with courses that students encounter during their first year of graduate school. Finally, each student will be encouraged to prepare a preprint of his or her work by the end of the program. These preprints are made available on the program's website. It is not uncommon for honors theses as well as journal publications to result from the summer projects. The intense research experience provides an opportunity for students to see for themselves what life as a researcher can entail. Thus it may help them answer (or reaffirm their position on) questions about their potential for a career in mathematic or statistics. Additionally, we seek to increase our program's visibility among students who may otherwise not consider attending an REU. In particular, we intend to recruit heavily from historically black colleges and universities. In this way, we hope to contribute to the diversification and subsequent improvement of these disciplines.

蒙特霍利奥克学院提议继续为本科生开设一个数学和统计学暑期研究网站。 在接下来的五年里，每年夏天，我们都会从美国不同的学院和大学中挑选十名学生从事数学或统计研究。 这些学生将以五人一组的方式工作，每组在一名教师的监督下进行不同的项目。 这些项目将植根于数学或统计研究的主流领域，通常涉及计算机实验和计算。 我们打算强烈传达给学生的信息之一是例子的力量，以阐明，并可能超越，在纯理论的战略目前的僵局。 这两个小组每天将分别见面几次，但也将有足够的（结构化和非结构化）机会让不同小组的学生交流思想。 学生将组织和参加自己的演讲系列，在该计划的研究研讨会上每周进行一次演讲/报告，并将被鼓励参加和参加地方和国家会议。 我们打算尽可能地模拟研究所的生活。2009年夏天，杰西卡·西德曼的小组将研究计算代数几何和交换代数的问题，而朱莉安娜·戴维森的小组将参与数论研究。我们的研究项目是实质性的和主流的。我们所提供的高强度接触，沿着小型工作组的亲密关系，促进和支持以具体而非肤浅的方式学习非常深刻和抽象的概念。 通过REU，学生们对数学和统计学的热情得到了加强;他们学会了如何有效地交流数学或统计思想;他们对自己接受新概念的能力产生了信心，通过对例子和问题的实验，建立直觉。这种经验也是那些追求这条道路的学生进入研究生院的桥梁。通常基础材料这是涵盖在该计划的前几个星期与课程，学生在他们的研究生院第一年遇到的。 最后，每个学生将被鼓励在课程结束前准备一份他或她的作品的预印本。 这些预印本可在该方案的网站上查阅。 这是并不罕见的荣誉论文以及期刊出版物，从夏季项目的结果。紧张的研究经验为学生提供了一个机会，让他们亲眼看到作为研究人员的生活可能需要什么。 因此，它可以帮助他们回答（或重申他们的立场）关于他们在数学或统计职业生涯的潜力的问题。 此外，我们寻求提高我们的计划中的学生谁否则可能不会考虑参加一个REU的知名度。 特别是，我们打算从历史悠久的黑人学院和大学大量招聘。 通过这种方式，我们希望为这些学科的多样化和随后的改进做出贡献。