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

该奖项全部或部分根据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将通过为数学职业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大数学工作的学生。 过去的课程已经培训了不同的群体，属于数学代表性不足的群体的学生的参与很大;特别鼓励这些学生申请。为期八周的暑期研究计划将培养9个早期的本科生在数学研究，每年培养一名研究生在研究监督。 该计划的目标是特殊的一年级大学生，与二年级和进入大学的学生也考虑参与。特别是，MathILy-EST REU将为参与者提供积极获取和创造数学知识的早期经验，这反过来又使他们能够在传统的数学课程中取得成功。软件使用，简历构建，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，所有参与者都将做好充分准备，在整个大学及以后的数学科学中脱颖而出。MathILy-EST将与MathILy（严肃的数学注入了乐趣）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基于探究的教育体验计划，适用于才华横溢的高中生。两个项目将定期举行联合活动。MathILy-EST和MathILy之间将有显着的异花授粉，特别是将为MathILy-EST学生提供来自MathILy员工的额外榜样和导师，将导致MathILy-EST参与者作为MathILy学生的研究榜样，并将扩大两个群体的近同行网络。这个社区的创建将增加MathILy-EST和MathILy参与者在获得进一步的数学教育和研究经验方面的坚持性。MathILy-EST REU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或研究期刊。他们将出席演讲由访问和工作人员数学家对数学的主题，数学的职业道路，并选择研究生院。他们将学习阅读数学论文和文本。MathILy-EST的数学重点每年都会发生变化。这些项目将根据导师的可用性从以下主题中提取：组合表示理论，有限域上的子空间安排，折叠的离散和计算几何，以及汤普森群的图解结构。MathILy-EST REU学生将定期向彼此介绍他们的研究进展，并提供有关他们的研究方法和演讲技巧的反馈。学生将被要求每周以书面形式（LaTeX）记录工作，以便在研究进展到出版时正式提供写作练习和论文草稿的素材。在MathILy-EST REU计划结束时，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。更多细节可在www.example.com上获得http://www.mathily.org/mathilyest/index.htmlThis奖项反映了NSF的法定使命，并被认为值得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来支持。

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.