REU Site: Topology, Partial Differential Equations, and Applications to Network Security and Biology

这个国家科学基金会奖为堪萨斯州立大学REU站点的更新提供了支持，该站点为本科生提供了一个夏季研究项目，包括纯数学、应用数学和生物数学。REU网站每年将在三个夏季接待10名学生，为期8周。学生将进行原创研究，并尽可能在同行评审的数学期刊上发表成果。此外，该计划还提供了一些专业发展活动，如数学排版和演示工具研讨会，科目GRE准备以及项目所需的计算工具培训。REU项目以学生组织的小型会议结束。大多数社会活动是与校园其他reu联合进行的。招聘计划强调社区学院，历史上的黑人学院，少数民族服务机构，以及堪萨斯州EPSCoR州的地区文理学院。在PI， Co-PI和其他资深导师的经验丰富的指导下，该项目的校友完成了一流的博士课程，并在金融和软件公司的顶级雇主中找到了工作，并进入了中学教育。REU参与者将研究拓扑学、偏微分方程（PDEs）、网络安全、数学建模、生物数学、结理论和拓扑量子场论等领域的问题。专业开发部分将包括数学演示工具LaTeX和Beamer，以及MATLAB和Python编程等计算工具的研讨会。过去的项目服务了大量的女性和少数民族，并推荐了许多学生成为数学联盟的学者。对校友的详细跟踪显示，他们毕业于顶尖的数学博士课程，并在金融、保险和软件公司的顶级雇主那里找到了工作。在REU进行的研究成果发表在密码学、拓扑学、数论、分析、偏微分方程和应用数学等研究期刊上。

This National Science Foundation award provides support for a renewal of an REU Site at Kansas State University that offers a summer research program to undergraduates with a variety of projects in pure mathematics, applied mathematics, and biomathematics. The REU Site will host ten students per year for eight weeks in three summers. Students will conduct original research and publish results in peer reviewed mathematics journals whenever possible. In addition, the program offers several professional development activities such as workshops in mathematical typesetting and presentation tools, subject GRE preparation, and training in computational tools as needed to work on the projects. The REU program ends with a student-organized mini conference. Most of the social activities are joint with the other REUs on campus. Recruitment plan emphasizes community colleges, Historically Black Colleges, minority-serving institutions, and regional liberal arts colleges in the EPSCoR state of Kansas. Under the experienced guidance provided by the PI, Co-PI, and other senior mentors, this program has a strong record of alumni completing first tier PhD programs,and placing with top ranked employers in finance and software companies, as well as entering secondary education.The REU participants will work on problems in the areas of topology, partial differential equations (PDEs), network security, mathematical modeling, biomathematics, knot theory and topological quantum field theory. Professional development component will include workshops on mathematics presentation tools LaTeX and Beamer, and computational tools such as MATLAB and Python programming. The past programs have served large numbers of women and minorities, and have referred a number of students to become Math Alliance scholars. Detailed tracking of alumni shows them graduating from top tier PhD programs in mathematics, and securing employment with top employers in finance, insurance, and software companies. Publications resulting from research carried out at the REU have appeared in research journals in cryptography, topology, number theory, analysis, PDEs and applied mathematics.