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REU Site: Undergraduate Research in the Mathematical Sciences and their Applications

REU 网站：数学科学及其应用的本科研究

基本信息

批准号：
1757872
负责人：
Anne Shiu
金额：
$ 35万
依托单位：
Texas A&M University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-06-01 至 2023-05-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1757872&HistoricalAwards=false
关键词：
REU Site Undergraduate Research Mathematical

项目摘要

Led by principal investigators the Mathematics Department at Texas A&M will host a group of 12 talented undergraduates for research training during 8 weeks each summer. The REU faculty will specifically seek strong students who have been isolated from research opportunities at their home institution, be it from prior hardships or lack of resources. Students will have the opportunity to learn cutting-edge mathematical ideas from scratch, and contribute to solving hard problems underlying many real-world problems from biochemistry, engineering, cryptology, and quantum computing. Students will receive free housing, reimbursement for travel, and a stipend. Thematically, the REU program will have three research streams per summer. These are chosen on a rotating basis from four choices: (1) Algebraic Methods in Mathematical Biology, (2) Algorithmic Algebraic Geometry, (3) Number Theory, and (4) Quantum Computing. The first stream involves neural codes and biochemical reaction networks. The second stream focuses on A-discriminants, tropical approximation of algebraic sets, and applications to optimization. The third stream investigates questions on zeros of modular forms, L-functions, and class number bounds. The fourth stream focuses on topological approaches to quantum computing.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

在主要研究人员的带领下，德克萨斯农工大学数学系将在每年夏天的8周时间里接待12名有才华的本科生进行研究训练。REU的教职员工将专门寻找那些在其所在机构被排除在研究机会之外的优秀学生，无论是由于先前的困难还是缺乏资源。学生将有机会从零开始学习前沿的数学思想，并为解决生物化学、工程、密码学和量子计算等许多现实世界问题背后的难题做出贡献。学生将获得免费住房、旅费报销和津贴。从主题上讲，REU项目每年夏天将有三个研究流。这些是在四个选择的基础上轮流选择的：(1)数学生物学中的代数方法，(2)算法代数几何，(3)数论，(4)量子计算。第一个流涉及神经编码和生化反应网络。第二流的重点是a -判别式，代数集的热带近似，以及优化的应用。第三个流研究关于模形式的零、l函数和类数界的问题。第四流侧重于量子计算的拓扑方法。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。