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

该奖项的全部或部分资金来自《2021年美国救援计划法案》(公法117-2)。德克萨斯农工大学数学系的本科生研究体验(REU)网站将在每年夏天接待12名有才华的本科生进行为期8周的研究培训。REU的教职员工将专门寻找那些在自己的母校没有研究机会、以前的困难或缺乏资源的有才华的学生。学生将有机会从头开始学习尖端的数学思想，并为解决许多现实世界中来自生物化学、工程和密码学的具有挑战性的问题做出贡献。学生将获得免费住房、路费报销和津贴。REU项目每年夏天将有三个研究轨道。它们是从五个选项中轮流选择的：(1)数学生物学的代数方法，(2)算法代数几何，(3)数论，(4)概率与代数，(5)高维概率。第一个轨迹涉及神经编码和参数可识别性。第二课包括A-判别式、代数集的热带逼近和最优化应用等主题。第三课研究关于Dedekind和、L函数、模形式和类数的问题。第四个轨道涉及随机相互作用的粒子系统和Casimir元素。新的第五赛道将使用概率方法调查高复杂性的对象，例如大型矩阵、张量和图形。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This award is funded in whole or in part under the American Rescue Plan Act of 2021 (Public Law 117-2). The Research Experience for Undergraduates (REU) site in the Mathematics Department at Texas A&M University will host a group of twelve talented undergraduates for research training for eight weeks each summer. The REU faculty will specifically seek talented students who have been isolated from research opportunities at their home institution, from prior hardships, or lack of resources. Students will have the opportunity to learn cutting-edge mathematical ideas from scratch and contribute to solving challenging problems underlying many real-world problems from biochemistry, engineering, and cryptography. Students will receive free housing, reimbursement for travel, and a stipend.The REU program will have three research tracks per summer. These are chosen on a rotating basis from five choices: (1) Algebraic Methods in Mathematical Biology, (2) Algorithmic Algebraic Geometry, (3) Number Theory, (4) Probability and Algebra, and (5) High-Dimensional Probability. The first track involves neural codes and parameter identifiability. The second track includes topics such as A-discriminants, tropical approximation of algebraic sets, and applications to optimization. The third track investigates questions on Dedekind sums, L-functions, modular forms, and class numbers. The fourth track involves random interacting particle systems and Casimir elements. The new fifth track will investigate objects of high complexity, for example, large matrices, tensors, and graphs, using probabilistic methods.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.