REU site: Complexity Across Disciplines (CAD)

这笔赠款资助REU网站“跨学科的复杂性”在博伊西州立大学，在数学系主办。该网站旨在培养一批年轻的研究人员，他们的工作和视野超越了STEM学科之间的现有界限。每个研究导师将在一个具有强大的跨学科范围和基于有限数学结构的研究项目中聘请一个全国招募的本科生团队。这些项目的数学基础包括代数结构，组合结构和博弈论。每一组的10个REU研究人员将彻底从事当代研究问题与应用密码学，生物学和其他几个领域的调查。这些项目与数学中的重要开放问题有着深刻的联系，并可能导致对目前商业使用的密码系统安全性具有重要意义的发现。从博弈论的角度来研究某些基因组重排过程的想法是新的领域，作为一种数学探索具有内在价值，并有可能澄清观察到的自然重排过程中的现象。对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。计算和复杂性的本质已经从学术领域扩展到了实践竞技场，这是对生命基本过程的科学理解的巨大进步，是历史上信息处理的最大变革，以及日常生活中所有基本任务的自动化。现在比以往任何时候都更需要了解计算的基本限制，从而了解生活、日常生活和信息处理的基本过程。这个网站上的研究项目最终涉及到计算限制的问题。提供项目的动机来自于对高效搜索或排序算法以及高效信息安全工具的追求。该REU计划及其项目的研究方向由经验丰富的导师指导，其中包括一名早期职业调查员，一名女性研究员和一名高级科学家。通过其招聘过程中，该计划带来了本科研究经验，从全国各地的机构，这样的机会是有限的学生。通过让REU学生参与针对K-12学生的智力推广活动，通过REU网站与美国宇航局资助的爱达荷州科学和航空航天学者的合作伙伴关系，来自农村社区的学生机会有限有一对一接触来自全国各地的高度积极的STEM学生。这项推广活动有可能改变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暑期本科研究项目合作，提供了丰富的专业和跨学科发展活动。

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.