REU Site: MathILy-EST (MathILy Early Scholarly Training)

该奖项全部或部分由《2021年美国救援计划法案》（公法117-2）资助。该奖项将更新和扩大对MathILy- est （MathILy早期学术培训）本科生研究经验（REU）网站的支持。MathILy-EST REU将通过为数学生涯早期的学生提供培训机会来增加数学劳动力的深度，特别是那些没有其他研究机会的学生，以及那些深入但非正式地准备从事重要数学工作的学生。过去的课程培养了不同的群体，属于数学代表性不足群体的学生大量参与；我们特别鼓励这样的学生申请。这个为期八周的暑期研究项目每年将培养9名早期本科生进行数学研究，并每年培养一名研究生进行研究指导。该项目针对优秀的大学一年级学生，二年级学生和新生也被考虑参加。特别是，MathILy-EST REU将给予参与者积极获取和创造数学知识的早期经验，这将使他们能够在传统的数学课堂上取得成功。软件使用、简历制作、演讲技巧和写作方面的培训将为参与者提供在STEM劳动力中具有竞争力所需的非正式知识和职业技能。因此，所有参与者都将为在整个大学及以后的数学科学领域取得优异成绩做好充分准备。MathILy- est将与MathILy（严肃的数学注入了轻松）在同一个校园内运行，MathILy是一个为期5周的非常有选择性的项目，为有才华的高中生提供探究式的教育体验。两个项目将定期举行联合活动。MathILy- est和MathILy之间将有重要的交叉授粉，特别是将为MathILy- est的学生提供额外的榜样和MathILy工作人员的导师，将导致MathILy- est的参与者成为MathILy学生的研究榜样，并将扩大两个群体的近同伴网络。这种社区的创建将增加MathILy- est和MathILy参与者获得进一步数学教育和研究经验的持久性。mathly - est REU的参与者将共同努力进行原创研究，在会议上展示他们的成果，并将他们的工作提交给本科生或研究期刊。他们将参加由来访和工作的数学家所做的关于数学主题、数学职业道路和选择研究生院的演讲。他们将学习阅读数学论文和课文。MathILy-EST的数学重点每年都会改变。根据导师的可用性，项目将从以下主题中抽取：组合表示理论，有限域上子空间的排列，折叠的离散和计算几何，以及汤普森群的图解结构。马蒂利- est REU的学生将定期向对方展示他们的研究进展，并就他们的研究方法和演讲技巧提供反馈。学生将被要求每周以书面形式（在LaTeX中）记录工作，提供正式写作的练习，并在研究进展到出版时为论文草稿提供素材。在马蒂利- est REU项目结束时，主任将与学生制定计划，包括子目标和时间表，以传播他们的研究成果。这将包括讨论潜在的地方（MAA）和国家（JMM）会议演讲和论文提交。更多的细节可在http://www.mathily.org/mathilyest/index.htmlThis上获得，该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This award is funded in whole or in part under the American Rescue Plan Act of 2021 (Public Law 117-2). This award will renew and expand support for the MathILy-EST (MathILy Early Scholarly Training) Research Experience for Undergraduates (REU) Site. The MathILy-EST REU will increase the depth of the mathematical workforce by providing training opportunities to students early in their mathematical careers, especially those who do not have other research opportunities and who are deeply but informally prepared to engage in significant mathematical work. Past sessions have trained diverse cohorts, with significant participation by students belonging to groups underrepresented in mathematics; such students are especially encouraged to apply. The eight-week summer research program will train 9 early undergraduates in mathematics research each year and train one graduate student in research supervision each year. The program targets exceptional first-year college students, with second-year and entering college students also considered for participation. In particular, the MathILy-EST REU will give participants early experience in active acquisition and creation of mathematical knowledge, which will in turn enable them to succeed in traditional mathematics classes. Training in software use, CV construction, presentation skills, and writing will give participants the informal knowledge and career skills needed to be competitive in the STEM workforce. All participants will therefore be well prepared to excel in the mathematical sciences throughout college and beyond. MathILy-EST will be run on the same campus as MathILy (serious Mathematics Infused with Levity), a 5-week very selective program of inquiry-based educational experiences for highly talented high-school students. The two programs will hold regular joint activities. There will be significant cross-pollination between MathILy-EST and MathILy, and specifically will provide MathILy-EST students with additional role models and mentors from the MathILy staff, will result in MathILy-EST participants acting as research role models to MathILy students, and will expand the near-peer networks of both groups. This creation of community will increase both MathILy-EST and MathILy participant persistence in acquiring further mathematical education and research experience.MathILy-EST REU participants will work together to produce original research, present their results at conferences, and submit their work to undergraduate or research journals. They will attend presentations by visiting and staff mathematicians on mathematics topics, on mathematical career paths, and on choosing graduate schools. They will learn to read mathematics papers and texts. The mathematical focus of MathILy-EST will change each year. The projects will be drawn from the following topics according to mentor availability: combinatorial representation theory, arrangements of subspaces over finite fields, discrete and computational geometry of folding, and diagrammatic structure of the Thompson group. MathILy-EST REU students will present their research progress to each other on a regular basis, with feedback provided on their research methods and presentation skills. Students will be asked to record work in writing (in LaTeX) weekly, to provide practice in writing formally and fodder for paper drafts once research has progressed to the point of publication. At the end of the MathILy-EST REU program, the director will make plans with students, including sub-goals and timelines, for dissemination of their research results. This will include discussing potential local (MAA) and national (JMM) conference presentations and paper submissions. More details are available at http://www.mathily.org/mathilyest/index.htmlThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.