EMSW21-MCTP: Research Experience for Graduate Students

【摘要】本奖项由2009年美国复苏与再投资法案（公法111-5）资助。UIUC数学系旨在培养数学事业的管理者。我们的课程促进从未来的本科数学专业到高级数学家的各个发展阶段。我们在此建议加强我们的REGS计划，从而影响研究生水平的几个关键转变。REGS代表“研究生研究经历”；对于许多学生来说，REGS提供了与研究的初步接触。我们目前的项目为早期研究生提供夏季支持，让他们在一个或几个教师导师的指导下进行研究项目（个人或小组）。我们在此提出了一个由四个部分组成的增强计划：一个面向即将入学的博士生（REGS 0），一个面向一年级和二年级博士生（REGS 1），一个面向已经开始论文研究的学生（REGS 2），一个面向即将完成论文的学生（REGS 3）。前三个部分是暑期项目，而第四个部分提供为期一年的奖学金。我们将通过将外部参与者纳入REGS 0和REGS 1组成部分来扩大我们项目的覆盖面。外部参与者将包括来自代表性不足的少数群体的学生，以及来自没有数学博士课程的学校的学生。UIUC数学系在研究、奖学金和培训方面有着杰出的记录。我们目前的REGS项目为研究生提供了早期的研究经验。我们的改进将在项目的各个阶段刺激他们的智力发展。此外，我们将为其他项目的学生提供类似的机会。所有学生都将在当前感兴趣的研究领域工作，许多人将对他们做出原创性贡献。此外，REGS 0计划的迷你课程将使研究生课程更具活力，更好地适应当前的数学研究。我们的项目显著影响着国家科学劳动力的质量和活力。因为我们是一个具有广泛数学兴趣的大部门，我们的学生继续从事各种各样的职业。那些成为研究数学家的人会影响许多不同的领域，而那些在工业领域工作或作为教师的人也会在他们的环境中复制我们对数学的承诺。我们通过网站和出版物传播和分享有关我们项目的信息；我们参与了卡内基博士项目（CID），这使我们能够分享我们REGS项目的细节。我们的想法很容易适应其他部门的需要。我们的增强包括来自其他项目的参与者，因此将鼓励我们部门以外的人尽早过渡到研究。REGS 0组成部分提供了一种招募弱势少数群体成员参与数学研究的方法。

AbstractBradlowThis award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5).The Mathematics Department at UIUC aims to train stewards of the mathemat-ical enterprise. Our programs facilitate all stages of development from prospective undergraduate math major to senior mathematician. We propose here to enhance our REGS program and thereby impact several critical transitions at the graduate level. REGS stands for \Research Experiences for Graduate Students"; for many students REGS provides the initial contact with research. Our current program provides summer support for early graduate students to work (individually or in a group) on a research project with one or several faculty mentors. We propose here an enhanced program with four components: one for incoming Ph.D. students (REGS 0), one for 1st- and 2nd-year Ph.D. students (REGS 1), one for students who have already begun thesis research (REGS 2), and one for students about to complete their dissertations (REGS 3). The first three components are summer programs while the fourth provides a year-long fellowship. We will extend the reach of our programs by including external participants in the REGS 0 and REGS 1 components. The external participants will include students from underrepresented minority groups and also from schools which do not have mathematics Ph.D. programs.The Mathematics Department at UIUC has a distinguished record of research, scholarship, and training. Our current REGS program has provided graduate students with early research experiences. Our enhancements will stimulate their intellectual development at all stages of the program. In addition we will provide similar opportunities to some students from other programs. All students will work in research areas of current interest and many will make original contributions to them. Furthermore the mini-courses from the REGS 0 program will make the graduate curriculum more dynamic and better in tune with current mathematical research. Our programs significantly impact the quality and vitality of the national scientific workforce. Because we are a large department with broad mathematical interests, our students go on to a wide variety of careers. Those who become research mathematicians impact many different fields, and those who work in industry or as teachers replicate our commitment to mathematics in their settings as well. We have disseminated and shared information about our programs via websites and publications; our participation in the Carnegie Initiative on the Doctorate (CID) allowed us to share the details of our REGS program. Our ideas are easily adapted to the needs of other departments. Our enhancements include participants from other programs, and hence will encourage an early transition to research for people outside of our department. The REGS 0 component provides a way to recruit members of disadvantaged minority groups to mathematical research.