REU Site: Data Science, Number Theory, and Positional Game Theory

作为一名本科生，参与研究对学生来说是一次重要的经历，因为他们学会了如何深入思考问题，这些问题需要他们综合从许多课堂上学到的材料，以及专门为研究项目而学到的材料。许多本科生所在的机构没有给他们提供参与研究的机会。这个项目为洛杉矶西方学院的本科生建立了一个研究经验。该网站每年夏天将接待9名本科生，分成3人一组，研究数据科学、博弈论和数论的研究问题。重点将放在根据种族、族裔、性别、社会经济背景以及就读的本科生机构类型招募不同的参与者群体。除了所进行的研究外，导师还将与学生一起提高他们的公开演讲技能和技术写作技能。导师们将就数学领域的伦理、研究生院和就业机会等问题展开讨论。该计划提供了计算调查与理论追求的混合开放的研究问题在数据科学，数论和位置博弈论。这所REU将要研究的问题符合教员自己的研究计划，并且处于这些领域的前沿。因此，这一结果将引起该领域其他人的兴趣，并经常导致同行评议的期刊出版物。该计划的目标是通过让学生参与有意义和有趣的研究项目，帮助他们在数学研究中获得更高水平的独立性。参与者将学习成为一名专业数学家是什么感觉。他们将被介绍数据科学、数论和博弈论的各种工具、技术和问题，并将致力于解决适合本科生学习的重要且往往困难的问题。教员们有与本科生合作的历史，并成功地选择了适合本科生工作的问题。参与者将能够几乎立即开始对该项目的计算方面的调查，使他们有机会将全部时间花在西方石油公司进行有意义的研究上。学生们将提交报告，总结他们在暑期的研究；这些报告将发布在REU网站上，该网站即将开发。离开REU后，他们将继续与他们的教师导师合作，在适当的时候出版期刊出版物，并出席会议展示他们的结果。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

Participating in research as an undergraduate is an important experience for students as they learn how to think deeply about problems that require them to synthesize material learned across many classes as well as specifically for the research project. Many undergraduates attend institutions that do not afford them the opportunity to participate in research. This project establishes a Research Experience for Undergraduates at Occidental College in Los Angeles. The site will host nine undergraduates each summer, split into teams of three, to work on research problems in data science, game theory, and number theory. An emphasis will be placed on recruiting a diverse group of participants in terms of race, ethnicity, gender, socioeconomic background, as well as type of undergraduate institution being attended. In addition to the research conducted, the mentors will work with the students to improve their public speaking skills and their technical writing skills. The mentors will conduct panels on ethics, graduate school, and career opportunities in mathematics. The program offers a blend of computational investigation with theoretical pursuit of open research problems in data science, number theory and positional game theory. The problems to be investigated in this REU fit into the faculty's own research programs and are at the cutting edge of these fields. As such, the results will be of interest to others in the field and often lead to peer reviewed journal publications. The goal of the program is to help students attain a higher level of independence in mathematical research by having them take part in significant and interesting research projects. The participants will learn what it is like to be a professional mathematician. They will be introduced to various tools, techniques and problems from data science, number theory, and game theory and will work on important and often difficult problems that are suitable for undergraduate work. The faculty have a history of interest in working with undergraduates and success in choosing problems at an appropriate level for undergraduate work. The participants will be able to begin investigations almost immediately on computational aspects of the project, giving them an opportunity to spend the entire time at Occidental working on meaningful research. Students will produce reports summarizing their research for the summer; these reports will be posted on an REU website that is to be developed. Upon departing the REU, they will continue to work with their faculty mentors to produce journal publications when appropriate as well as to attend conferences to present their results.This 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.