EXTREEMS-QED: Undergraduate Research in Computational and Data-Enabled Mathematics

计算和数据支持数学在现代科学和工程的进步中发挥着越来越大的作用。该项目的主要目标是促进和提高乔治梅森大学（GMU）本科生的研究经验，目标是通过将他们沉浸在重要的应用研究项目中，培养受过广泛训练的计算数学家。这种研究经验，虽然学生仍在他们的教育形成阶段，将增加成功的可能性在研究生学习应用和计算数学和统计。从GMU多样化的学生群体中招聘，并与波多黎各一所以西班牙裔为主的大学合作，将促进代表性不足的群体的参与。每年将有8名GMU学生参加为期两年的跨学科强化培训项目。在夏季，学生将沉浸在以数据为基础的研究项目中，涵盖广泛的主题和应用领域，从不确定性量化和大数据集中的分岔现象，到复杂物理或金融系统的建模和约束优化问题。预计学生将在整个项目期间进行研究。作为教育计划的一部分，学生将参加为期一年的本科研讨会，以提高他们的沟通和传播技能，并为可能在STEM领域的研究生学习做其他准备工作。在秋季学期，学生将学习最近设计的应用与计算偏微分方程课程，然后在春季学习新的计算数学高级主题课程。该项目将包括几个独特的教师发展和推广机会，涉及GMU和非GMU的教师。此外，GMU还将举办工业研讨会和教师训练营，让来自不同机构的精选学生和教师参与动手数据驱动项目。该项目是一个团队的努力，建立在成功的本科生研究和合作经验的坚实记录上，包括最近与波多黎各泛美大学建立的联系，这将有助于扩大拟议的培训计划的影响。

Computational and data-enabled mathematics plays an ever-increasing role in the advancement of modern science and engineering. The main objective of this project is to promote and enhance undergraduate research experience at George Mason University (GMU) with the goal of preparing broadly trained computational mathematicians by immersing them in significant applied research projects. This research experience, while the students are still in formative stages of their education, will increase the likelihood of success in graduate studies in applied and computational mathematics and statistics. Recruitment from GMU's diverse student population and collaboration with a majority Hispanic university in Puerto Rico will promote participation of under-represented groups.A student cohort consisting of eight GMU students will be admitted to the two-year long intensive interdisciplinary training program each year. In the summer, the students will be immersed in data-enabled research projects, covering a wide range of topics and application areas, from uncertainty quantification and bifurcation phenomena in large datasets, to modeling complex physical or financial systems and constrained optimization problems. It is expected that the students will conduct research for the whole duration of the program. As part of the education program, the students will attend a year long Undergraduate Seminar which will enhance their communication and dissemination skills, as well as other preparatory work for possible graduate studies in STEM fields. In fall semester, students will take a recently designed Applied and Computational Partial Differential Equations course followed by a new Advanced Topics in Computational Mathematics course in the spring. The project will include several unique faculty development and outreach opportunities, involving both GMU and non-GMU faculty. In addition, GMU will host industrial workshops and faculty boot camps that will involve selected students and faculty from a variety of institutions in hands-on data-driven projects. The project is a team effort that builds upon a strong record of successful undergraduate research and collaboration experience, including a recently established connection with InterAmerican University of Puerto Rico that will help to broaden the impact of the proposed training program.