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.

这笔赠款资助博伊西州立大学数学系主办的 REU 网站“跨学科复杂性”。该网站旨在培养一批年轻的研究人员，他们的工作和愿景超越了当前 STEM 学科之间的界限。研究导师将分别聘请一支由全国招收的本科生组成的团队参与一个具有强大跨学科范围并基于有限数学结构的研究项目。这些项目的数学基础包括代数结构、组合结构和博弈论。 REU 十名研究人员中的每一个都将深入研究当代研究问题，并将其应用于密码学、生物学和其他几个研究领域。这些项目与数学中的重要开放问题有着深厚的联系，并且可能导致对当前商业使用的密码系统的安全性具有重要意义的发现。从博弈论的角度检查某些基因组重排过程的想法对于该领域来说是新的，具有作为数学探索的内在价值，并且有可能澄清自然重排过程中观察到的现象。分裂系统的研究可以为医学、化学和电气测试以及纠错的数学工具提供新的见解。通过对基本过程的科学理解的巨大进步，计算和复杂性的本质已经从学术领域扩展到实践领域。通过互联网的发明以及我们日常生活中所有基本任务的自动化，历史上信息处理发生了最大的变革。了解计算的基本限制以及生活、日常生活和信息处理的基本过程的必要性从未如此强烈。该网站上的研究项目最终涉及计算限制问题。所提供项目的动机源于对高效搜索或排序算法以及高效信息安全工具的追求。 REU 项目的研究方向及其项目由经验丰富的导师指导，其中包括一名早期职业研究员、一名女性研究员和一名高级科学家。通过其招聘过程，该计划为来自全国各地此类机会有限的机构的学生带来了本科生研究经验。 REU 网站与 NASA 资助的爱达荷州科学和航空航天学者合作，让 REU 学生参与针对 K-12 学生的智力推广活动，来自机会有限的农村社区的学生可以与来自各地积极进取的 STEM 学生进行一对一接触国家。这项外展活动有可能改变 K-12 学生对自己在 STEM 领域职业生涯的看法。该网站与博伊西州立大学的其他几个夏季本科生研究项目合作，提供一系列丰富的专业和跨学科发展活动。