REU site: Complexity Across Disciplines (CAD)

REU 网站：跨学科复杂性 (CAD)

基本信息

批准号：
1359425
负责人：
Liljana Babinkostova
金额：
$ 28.8万
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：
2014
资助国家：
美国
起止时间：
2014-05-01 至 2018-04-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1359425&HistoricalAwards=false
关键词：
REU site Complexity Across Disciplines

项目摘要

This grant funds the REU site "Complexity Across Disciplines" at Boise State University, hosted in the Department of Mathematics. This site seeks to produce cohorts of young researchers whose work and vision transcend current boundaries between STEM disciplines. The research mentors will each engage a team of nationally recruited undergraduate students in a research project with strong interdisciplinary scope and based on finitary mathematical structures. The mathematical foundations for these projects include algebraic structures, combinatorial structures and game theory. Each of the cohorts of ten REU researchers will be thoroughly engaged in contemporary research problems with applications to cryptology, biology and several other fields of inquiry. The projects have deep connections with important open problems in mathematics, and could lead to discoveries of importance to the security of currently commercially used cryptosystems. The idea to examine certain genomic rearrangement processes from a game-theoretic point of view is new to the field, has inherent value as a mathematical exploration, and has the potential to clarify observed phenomena in natural rearrangement processes. The study of splitting systems could give new insights into mathematical tools for medical, chemical and electrical testing as well as error correction.The nature of computing and complexity has expanded from the academic to the practical arena through great strides in scientific understanding of basic processes of life, the biggest transformation in information processing in history through invention of the internet, and automation of all basic tasks in our daily lives. The need to understand fundamental limitations on computing, thus on basic processes of life, daily living and information processing, has never been greater. The research projects featured at this site ultimately relate to the question of limitations on computing. The motivations for the offered projects arise from the quest for efficient search or sorting algorithms and for efficient information security tools. The research direction of this REU program and its projects are guided by experienced mentors that include an early career investigator, a female researcher and a senior scientist. Through its recruitment process this program brings undergraduate research experiences to students from institutions across the nation where such opportunities are limited. By involving the REU students in intellectual outreach activities targeting K-12 students through the REU site's partnership with the NASA funded Idaho Science and Aerospace Scholars, students from rural communities with limited opportunities have one-on-one exposure to highly motivated STEM students from across the nation. This outreach activity has the potential to transform the vision of the K-12 students about their own careers in a STEM field. The site offers, in collaboration with several other summer undergraduate research programs at Boise State University, a rich array of professional and interdisciplinary development events.

这项赠款为位于数学系的博伊西州立大学的REU网站“跨学科的复杂性”提供了资金。该站点旨在生产一群年轻的研究人员，他们的工作和视力超越了STEM学科之间的当前边界。研究导师将分别与一支由全国招募的本科生组成的团队，并具有强大的跨学科范围，并基于最终的数学结构。这些项目的数学基础包括代数结构，组合结构和游戏理论。十名REU研究人员的每一人群都将彻底参与当代研究问题，这些问题与密码学，生物学和其他几个探究领域有关。这些项目与数学上的重要开放问题具有深厚的联系，并可能导致对当前商业使用的密码系统的安全性的重要性。从游戏理论的角度检查某些基因组重排过程的想法是该领域的新事物，具有固有的价值作为数学探索，并且有潜力阐明自然重排过程中观察到的现象。对分裂系统的研究可以为用于医学，化学和电气测试的数学工具以及错误纠正提供新的见解。计算和复杂性的性质已通过对生活的基本过程的科学理解，从学术过程中的大步发展，从学术到实践领域，这是通过对我们的所有基本工作进行自动化的历史处理中最大的信息处理过程的最大变化。了解计算的基本限制的需求，因此在生活，日常生活和信息处理的基本过程中的需求从未有所更大。该站点的研究项目最终与计算局限性问题有关。提供的项目的动机来自于寻求有效的搜索或分类算法以及有效的信息安全工具。该REU计划及其项目的研究方向由经验丰富的导师指导，其中包括早期职业研究员，女性研究人员和高级科学家。通过其招聘过程，该计划将本科生的研究经验带给了来自全国各地的学生的学生。通过让REU学生通过REU网站与NASA资助的爱达荷州科学和航空航天学者的合作，针对K-12学生的知识外展活动，机会有限的农村社区的学生一对一地接触来自全国各地的高度动机的STEM学生。这种外展活动有可能改变K-12学生对自己在STEM领域的职业生涯的愿景。该网站与博伊西州立大学的其他几个夏季本科研究计划合作提供了一系列专业和跨学科发展活动。