EMSW21-MCTP: The Summer Mathematics Institute at Cornell

EMSW21-MCTP：康奈尔大学夏季数学研究所

• 批准号: 0739338
• 负责人: Ravi Ramakrishna
• 金额: $ 126.43万
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-04-01 至 2015-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0739338&HistoricalAwards=false
• 关键词: EMSW21; MCTP; Summer; Mathematics; Institute

AbstractRamakrishnaThere is a dearth of American women and underrepresented minorities (African-American, Latino-American and Native American) completing doctorates in the mathematical sciences overall, and even fewer completing their degrees at top tier programs. Our proposal, the Summer Mathematics Institute at Cornell (SMI), is aimed at underrepresented groups, but will be open to all talented students who do not have access to a full range of advanced mathematics courses at their undergraduate institutions. Each year we will run an eight-week summer program for 12-14 students. Students will take a rigorous course in algebra or real analysis, with the subjects alternating yearly to allow the possibility for some students to attend the program twice. We expect that most of the first time participants will be in between their junior and senior years, although we will also consider finishing sophomores who have already had a course in that year's topic. Students will also participate in a research project, working in groups of 3-5. While some students may do original research, we imagine that in most cases students will be engaged in the process of rediscovering results that have already been published.To excel in a top tier research oriented doctoral program graduate students must negotiate the transition from undergraduate mathematics problem solving to engaging in the abstract reasoning required in graduate course work and learn to communicate mathematical ideas. Failure to make this transition inhibits performance in both course and seminar work and is a serious obstacle to success in graduate studies. A thorough grounding in the core subjects of real analysis and algebra is essential for pure and applied mathematicians. Inadequate preparation significantly hinders entering and completing graduate school. This situation is particularly salient in the case of minority students, many of whom begin graduate study after coming from colleges with limited resources to teach advanced math courses. Indeed, we have seen students at Cornell experience this difficulty in both our pure and applied programs. SMI will facilitate these students' transition to and success in graduate school by broadening their knowledge of mathematics, strengthening their understanding of basic concepts, enhancing their communications skills, and providing an experience of mathematical research and learning what to expect in a challenging doctoral program. SMI participation will both improve students' chances of gaining admission at a top tier graduate program and their chances of success upon enrolling in graduate school. As we anticipate that perhaps 3-5 students in each class will attend SMI for two summers, we expect that over _ve years we will train approximately 55 students. Ultimately, SMI will help widen the talent pool from which American mathematics will draw.

美国妇女和代表性不足的少数民族（非洲裔美国人、拉丁美洲人和美洲土著人）在数学科学领域获得博士学位的人数很少，在顶级课程中获得学位的人数更少。我们的建议，夏季数学研究所在康奈尔大学（SMI），是针对代表性不足的群体，但将开放给所有有才华的学生谁没有机会获得一个完整的高等数学课程在他们的本科院校。每年我们将为12-14名学生举办为期八周的暑期课程。学生将参加严格的代数或真实的分析课程，课程每年交替进行，以便一些学生有可能参加两次课程。我们预计，大多数第一次参加者将在他们的大三和大四之间，虽然我们也会考虑完成谁已经在这一年的主题课程的校友。学生还将参加一个研究项目，以3-5人为一组。虽然有些学生可能会做原创性的研究，我们想象，在大多数情况下，学生将从事重新发现已经发表的结果的过程中，要在一个顶级的研究为导向的博士课程研究生必须谈判从本科数学问题解决到从事研究生课程工作所需的抽象推理的过渡，并学会沟通数学思想。 未能使这一过渡抑制性能在课程和研讨会的工作，是一个严重的障碍，成功的研究生学习。在真实的分析和代数的核心科目彻底接地是必不可少的纯数学和应用数学家。准备不足严重阻碍进入和完成研究生院。这种情况在少数民族学生中尤为突出，他们中的许多人开始研究生学习之前，是从教授高等数学课程的资源有限的大学毕业的。事实上，我们已经看到康奈尔大学的学生在我们的纯理论和应用程序中都遇到了这种困难。 SMI将通过拓宽学生的数学知识、加强他们对基本概念的理解、提高他们的沟通技巧、提供数学研究经验并了解在具有挑战性的博士课程中会发生什么来促进这些学生向研究生院的过渡和成功。 SMI的参与将提高学生获得顶级研究生课程录取的机会，以及他们在研究生院入学后成功的机会。由于我们预计每个班可能有3-5名学生将参加SMI两个夏天，我们预计在五年内我们将培训大约55名学生。最终，SMI将有助于扩大美国数学的人才库。