Collaborative proposal: Faculty and Undergraduate Research Student Teams (FURST)

教师和本科生研究学生团队（FURST）计划将主要本科院校（PUI）的本科生和教师组成的小型研究小组聚集在一起，以便为他们提供为期一年的研究经验。该项目还为参与者在弗雷斯诺州立大学的一个已建立的夏季REU站点提供了一个月的密集夏季沉浸。FURST的学生有机会与REU的学生一起参加专业研讨会、演讲和学术讨论，而FURST的教师可以利用FURST项目内的现场、面对面的研究合作。该项目的主要目标是促进PUIs的学生和教师研究，具体目标是制作学生和教师撰写的出版物以及演示文稿。该计划旨在为来自不同研究重点和支持的机构的团队提供包容性和可访问性，以减轻那些可能不认为研究是高等教育的典型组成部分的机构的文化变化。福斯特大学的学生将在他们的教师导师的指导下研究数学中的开放性问题。研究课题包括网络中的社区检测问题，扩展cop and抢劫者博弈的框架和分析，粗Ricci曲率在数据分析和插值问题中的应用，非线性Riccati-Ermakov方程的研究和求解，以及其他非线性色散偏微分方程。通过在国内机构的阅读和讲座来加强他们对所选研究课题的背景知识，将使弗斯特大学的学生在沉浸式学习阶段以与REU学生相同的速度从事研究。学生将被要求提交他们的最终研究成果，以便在同行评审的期刊上发表。弗斯特大学的教师将参与解决他们研究领域的开放性问题，同时与其他机构的教师建立合作关系。教师也有望产生可发表的工作作为参与该计划的结果。根据既定目标，该计划将改善伊利诺伊大学学生的研究机会，这些机会通常是有限的。它还将（重新）激励伊利诺伊大学的教师，使他们继续积极从事研究。通过这样做，FURST将有助于改变参与机构的研究文化，特别是因为大部分研究活动将在FURST团队的母国机构进行。虽然FURST的学生参与者将通过该计划学习在研究生院和科学工作场所非常宝贵的技能，但该计划将通过向他们展示（通过学生演讲和演示）研究可以成为本科教育经历的一部分，从而广泛影响相关pui的学生。最后，通过沉浸在活跃的REU网站中，FURST学生将接触到REU项目的运作，并能够在申请REU时做出更明智的选择，作为他们学术发展的下一步。

The Faculty and Undergraduate Research Student Teams (FURST) program brings together small research groups comprised of undergraduate students and faculty from primarily undergraduate institutions (PUI) in order to provide them with a year-long research experience. The program also provides a one month long intensive summer immersion for its participants at an established summer REU site at Fresno State. FURST students get an opportunity to participate in professional workshops, presentations and academic discussions along with the REU students, whereas FURST faculty can take advantage of an on-site, in-person research collaboration with their peers within the FURST program. The program's main goal is to foster both student and faculty research at PUIs, with the specific goal of producing student and faculty authored publications, as well as presentations. The program is designed to be inclusive and accessible to teams from institutions with varying research focus and support, in order to mitigate cultural changes at institutions which may not consider research a quintessential component of higher education.FURST students will be working on open problems in mathematics under the guidance of their faculty mentors. Research topics include community detection problems in networks, expanding the framework and analysis of the cop and robber game, the use of coarse Ricci curvature in data analysis and interpolation problems, the study and solution of the non-linear Riccati-Ermakov equation, as well as other non-linear dispersive partial differential equations. Strengthening their background in the selected research topic through readings and lecture at their home institutions will prepare FURST students to engage in research at the same speed as the REU students during the immersion phase. Students will be expected to submit the end product of their research for publication in a peer reviewed journal. FURST faculty will engage in solving open problems in their area of research while building collaborations with faculty at other institutions. Faculty are also expected to produce publishable work as a result of participating in the program. In accordance with the stated goals, the program will improve access to research for students at PUIs, where such opportunities are typically limited. It will also (re)-energize faculty at PUIs so that they remain active in research. By doing so, FURST will help transform the research culture at the participating institutions, especially since the bulk of the research activities will take place at FURST teams' home institutions. While FURST student participants will learn skills through the program that are invaluable in graduate school and in the scientific workplace, the program will broadly impact the students at the involved PUIs by demonstrating to them (through student talks and presentations) that research can be part of the undergraduate educational experience. Finally, through the immersion in an active REU site, FURST students will gain exposure to the workings of an REU program, and will be able to make better informed choices about applying to REU as a potential next step in their academic development.