REU Site: Complexity in Algebra, Geometry and Applications

REU 网站：代数、几何和应用的复杂性

• 批准号: 1062857
• 负责人: Liljana Babinkostova
• 金额: $ 32.93万
• 依托单位: Boise State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-06-01 至 2015-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1062857&HistoricalAwards=false
• 关键词: REU; Site; Complexity; Algebra; Geometry

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.

通信技术和云计算的持续革命正在推动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生物学数学化和对数学和生物学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都在有才华的本科生的智力掌握范围内。REU网站：代数，几何和应用的复杂性将向本科生介绍数学研究，其动机是应用于信息安全或基因组生物学。该计划的一个目标是培养一批年轻的研究人员，他们的工作和视野将超越数学和数学的真实的世界应用之间的人为边界。在八周的课程中，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，该计划还将提供广泛的相关计划元素，旨在吸引学生并为STEM职业做好准备。其中包括：研究研讨会，学生将建立他们的项目背景，计算研讨会，学生将开发他们的研究项目的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研究研讨会在该计划结束时，所有学生将提出他们的研究成果。利用我们的云资源，该计划将实现协作空间，为我们的研讨会，研讨会和学生研究团队融合面对面和在线活动模式。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计划校友的后续研究经验。