EMSW21-RTG in Algebra and related fields at UCLA: innovations in a successful program

加州大学洛杉矶分校代数及相关领域的 EMSW21-RTG：成功项目的创新

• 批准号: 0838697
• 负责人: William Duke
• 金额: $ 246.97万
• 依托单位: University of California-Los Angeles
• 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: 2009-07-01 至 2014-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0838697&HistoricalAwards=false
• 关键词: EMSW21; RTG; Algebra; related; fields

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5). This RTG will support and train, for research and educational careers, 20-25 highly gifted PhD students, and at least 4 talented post-docs. Additionally, in an expanded vision of UCLA's successful summer Boot Camp for incoming grads, it will engage up to 60 top undergraduates over 5 summers in grad school preparatory activities and in research in mathematics (REU). Transferring to Algebra a model used successfully by UCLA Analysis group, four intense week-long Summer Research Retreats, run by faculty highly active in training and research, will engage chosen research-ready grad students in key areas of current research. The horizon-expanding VIGRE II Summer Research Internship Program, which provides students with an intensely mentored applied research experience in area related to their interest, will be expanded to include more applications of algebra and number theory, e.g. from cryptography to coding theory, to areas of physics where algebra and number theory play emerging roles. Three focused Instructional Workshops serving 35-50 grads and post-docs each will expose students to key areas of current research, such as p-adic modular forms, motives, and current research in combinatorics. The RTG plan emphasizes the training of teachers and mentors, as well as researchers. Hence, post-docs will play key roles in the activities above. This RTG will enable UCLA Algebra to continue its positive faculty-student synergy. UCLA has been greatly fortunate to make a large number of wonderful hires in the last few years. Our ability to continue to attract students and post-docs with sufficient talent to become real mathematicians is very important to faculty satisfaction with UCLA as a work environment. The Boot Camp/REU for undergraduates should significantly improve the strength and graduate prospects for its participants. Since it will be open to talented students from local institutions, such as the California State University campuses, and the Claremont Colleges (e.g. Harvey Mudd College), the program may help serve a regional/state need as well as help us to find suitable diversity candidates for graduate school. Related undergraduate programs which will involve RTG personnel will enhance recruitment and retention of students to mathematics. The Research Internship program will enable UCLA to serve the national interest by continuing a pipeline from number theory to cryptography. At the national level, the RTG will serve the key EMSW21 goal of enhancing the workforce for research and teaching, in both pure and applied areas, and in industry (as with cryptography). With so many talented young faculty in algebra, number theory and combinatorics, UCLA can produce at least 8 to 10 PhD?s per year in the areas of this grant. Finally, this RTG and the other efforts of the UCLA program, especially those inspired by EMSW21, emphasize strongly teamwork in training and research, in a way that could become, or provide elements to, a national model for graduate training.

该奖项是根据2009年《美国复苏与再投资法》（公法111-5）资助的。该RTG将支持和培训研究和教育职业，20-25名有才华的博士生，以及至少4个才华横溢的职业生涯。此外，在扩大了UCLA成功毕业的夏季新兵训练营的愿景中，它将在研究生院预备活动和数学研究（REU）中最多5个超过5个夏季的本科生。转移到代数的一个模型由UCLA分析小组成功使用，由高度活跃于培训和研究的教职员工进行了四个激烈的夏季研究静修会，将与当前研究的关键领域相关。扩展地平线的Vigre II夏季研究实习计划将为学生提供与他们兴趣相关的领域的高度指导的应用研究经验，以包括代数和数字理论的更多应用，例如从密码学到​​编码理论，再到代数理论扮演新兴角色的物理领域。三个专注的教学研讨会为35-50个毕业生和毕业后服务，每个人都将使学生接触到当前研究的关键领域，例如组合学中的P-Adic模块化形式，动机和当前的研究。 RTG计划强调了对教师和导师以及研究人员的培训。因此，事后将在上述活动中扮演关键角色。该RTG将使UCLA代数能够继续其积极的教师协同作用。在过去的几年中，加州大学洛杉矶分校（UCLA）非常幸运地获得了大量出色的员工。我们能够继续吸引具有足够才能成为真正数学家的学生和培训的能力对于教师对UCLA作为工作环境的满意非常重要。本科生的新兵训练营/REU应大大提高其参与者的力量和研究生前景。由于它将向当地机构的才华横溢的学生（例如加利福尼亚州立大学校园）和克莱蒙特学院（例如Harvey Mudd College）开放，因此该计划可能有助于满足地区/州的需求，并帮助我们为研究生院找到合适的多样性候选人。将涉及RTG人员的相关本科课程将增强学生招募和保留数学。研究实习计划将使UCLA能够通过从数字理论到密码学的管道来服务国家利益。 在国家一级，RTG将为EMSW21的关键目标提供，即在纯净和应用领域以及工业（与密码学一样）增强研究和教学的劳动力。 有这么多才华横溢的年轻教师，数字理论和组合学，加州大学洛杉矶分校每年至少可以在这笔赠款的领域中生产8至10个博士学位。最后，这项RTG和UCLA计划的其他努力，尤其是受EMSW21启发的计划，强调了在培训和研究方面强烈的团队合作，以一种可以成为或为研究生培训的国家模型提供元素的方式。