REU Site: Algebra, Combinatorics, and Statistics

德克萨斯州立大学数学系将在2019年、2020年和2021年夏季举办为期8周的夏季REU，每年有9名学生在一名教师导师的监督下，以三人一组的方式工作。该项目将为所有学生提供住宿、膳食、交通以及津贴。被选中的参与者将从申请者中挑选出来，该项目将直接让他们参与由教师导师指导的研究项目。除了成功的研究成果，该计划的目标是向学生介绍数学研究的各个方面和更广泛的数学界。与此同时，学生将与教师建立师徒关系，因为他们考虑攻读研究生学位和数学职业。学生将成为德克萨斯州立大学活跃社区的一部分；除了REU之外，还有许多夏季项目和世界知名的数学家访问校园，参与者将参与各种活动，将学生和教师聚集在一起。一个多样化的主体参与者是强烈的愿望，并将优先考虑来自群体，在数学界代表性不足的申请人。这包括少数民族学生、女性，以及那些来自资源有限、无法为本科生提供独立研究项目支持的机构的学生。研究项目包括基于教师导师研究兴趣的不同主题集合。具体项目包括由图和拟阵产生的交换代数、高维平铺的代数和组合方面、由群论产生的组合问题、群不变量的算术性质、群的线性和置换表示、生物数据的统计分析和生存分析。参与者将花一些时间学习必要的背景知识，同时进行原创性研究。学生将被要求在口头报告中展示他们的发现，并将被引导在数学研究论文中总结他们的工作。在课程的过程中，学生将接受各种技能的培训，包括文献综述、使用GAP、Macaulay2和R等软件制作和检查示例、口头表达技能，以及使用Latex进行书面数学交流。项目结束后，与参与者的交流将继续进行，例如，鼓励学生在下一学年在地方、区域和国家会议上展示他们的作品。该奖项反映了美国国家科学基金会的法定使命，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。

The Department of Mathematics at Texas State University will host an 8 week summer REU in the summers of 2019, 2020 and 2021, involving nine students per year working in teams of three under the supervision of a faculty mentor. The program will provide lodging, meals, transportation, as well as a stipend for all students. The chosen participants will come from a selective pool of applicants, and the program will directly involve them in research projects guided by faculty mentors. Beyond successful research outcomes the objectives of the program are to introduce students to aspects of mathematical research and the broader mathematical community. At the same time the students will develop mentoring relationships with faculty as they consider pursuing graduate degrees and a career in mathematics. Students will be part of an active community at Texas State; in addition to the REU there are a number of summer programs and world-renowned mathematicians who visit campus, and participants will be involved in various activities that bring students and faculty together. A diverse body of participants is strongly desired and priority will be given to applicants from groups that are underrepresented in the mathematical community. This includes minority students, women, as well as those students coming from institutions with limited resources to support independent research projects for their undergraduates.The research projects include a diverse collection of topics based on the research interests of the faculty mentors. Specific projects include commutative algebra arising from graphs and matroids, algebraic and combinatorial aspects of higher dimensional tilings, combinatorial problems arising from group theory, arithmetic properties of group invariants, linear and permutational representations of groups, statistical analysis on biological data, and survival analysis. Participants will spend some of the time learning the necessary background while pursuing original research. Students will be asked to present their findings in oral presentations, and will be guided in summarizing their work in a mathematical research paper. In the course of the program students will be trained in various skills including literature review, using software such as GAP, Macaulay2, and R to make and check examples, oral presentation skills, as well as written mathematical communication using Latex. Communication with the participants will continue after the program ends, and for instance students will be encouraged to present their work at local, regional, and national conferences in the subsequent academic year.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.