REU Site: Complexity in Algebra, Geometry and Applications

通信技术和云计算的持续革命推动了对信息安全工具和专家的需求。同样，分子和细胞生物学的革命正在推动对数学化生物学和对数学和生物学都有能力的专业人员的快速需求。计算的本质和复杂性是两者的中心主题。与信息安全或生物学相关的重要数学问题在有才华的本科生的智力掌握范围内。REU网站：代数、几何和应用中的复杂性将向本科生介绍由信息安全或基因组生物学应用驱动的数学研究。该计划的目标是培养一批年轻的研究人员，他们的工作和愿景将超越数学与现实世界数学应用之间的人为界限。在为期八周的课程中，8名本科生将与他们的教师导师一起从事基于数学的跨学科研究。除了有针对性的研究项目外，该项目还将提供广泛的相关项目元素，旨在吸引学生进入STEM职业并为他们做好准备。其中包括：研究研讨会，学生将为他们的项目建立他们的背景，计算研讨会，学生将发展他们的研究项目进展所需的编程技能，会议作为一个小组，他们将报告他们目前的研究和一个研究研讨会，在项目结束时，所有学生将展示他们的研究成果。利用我们的云资源，该项目将为我们的研讨会、研讨会和学生研究团队实施融合面对面和在线活动模式的协作空间。这种技术能力是我们后续计划的关键组成部分，以维持我们REU项目校友的后续研究经验。

The ongoing revolution in communication technology and cloud computing is driving demand for information security tools and specialists. Likewise the revolution in molecular and cell biology is driving a rapidly emerging demand to mathematize biology and for professionals competent in both mathematics and biology. The nature of computing and complexity are central themes for both. Important mathematical problems relevant to the concerns of information security or biology are within the intellectual grasp of talented undergraduate students. The REU Site: Complexity in Algebra, Geometry and Applications will introduce undergraduate students to research in mathematics motivated by applications to information security or genome biology. An objective of this program is to produce a cohort of young researchers whose work and vision will transcend the artificial boundary between mathematics and real world applications of mathematics.Over the course of eight weeks 8 undergraduate students alongside their faculty mentors will be engaged in mathematics-based interdisciplinary research. In addition to targeted research projects the program will provide a broad array of associated program elements designed to draw students into and prepare them for STEM careers. These include: research workshops where students will build their backgrounds for their projects, computing workshops where students will develop programming skills needed for progress on their research projects, meetings as a group where they will report their current research and a research symposium at the end of the program where all students will present their research results. Using our cloud resources the program will implement collaborative spaces that blend face-to-face and online modes of activity for our workshops, seminars and student research teams. This technological capability is a key component of our follow-through plan to sustain the subsequent research experience of alumni of our REU program.