REU Site: Arithmetic Geometry, Number Theory, and Representation Theory at the University of Virginia

REU 网站：弗吉尼亚大学算术几何、数论和表示论

• 批准号: 2147273
• 负责人: Ken Ono
• 金额: $ 41.58万
• 依托单位: University of Virginia Main Campus
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-05-01 至 2025-04-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2147273&HistoricalAwards=false
• 关键词: REU; Site; Arithmetic; Geometry; Number

The University of Virginia (UVA) Research Experiences for Undergraduates in Arithmetic Geometry, Number Theory, and Representation Theory is an intense research activity for undergraduate students. The project provides research experiences for undergraduates interested in arithmetic geometry, combinatorics, and number theory. Organized by the principal investigator with assistance from rotating colleagues, the program plans to train approximately 10 undergraduates annually in the summers of 2022, 2023, and 2024. The participants will be chosen after a nationwide search. Recruitment will target participants from underrepresented groups as well as participants from institutions that do not offer similar STEM research activities for undergraduates. The REU program will enable undergraduate students to enjoy an enhanced learning experience, including research projects and seminars. The overall goal of the UVA REU program is to attract talented undergraduate students to careers in the mathematical sciences, which in turn helps promote progress in science and national security by addressing critical issues in the preparation of the next generation of researchers.Research topics will be accessible to students but will go beyond traditional mathematics coursework, involving cutting-edge studies related to analytic number theory, elliptic curves, Galois representations, modular forms, partitions, prime numbers, and quantum modular forms. These fields have applications to internet security, modeling in physics, and other physical sciences. In addition to pursuing original research, participants will be mentored in various aspects of the mathematics profession. Sessions on grant proposal preparation, graduate school preparation, and careers in industry will be held to help prepare the participants for the "real world" of the mathematical sciences.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.

弗吉尼亚大学（UVA）算术几何，数论和表示论本科生的研究经验是本科生的一项激烈的研究活动。该项目为对算术几何、组合数学和数论感兴趣的本科生提供研究经验。该计划由首席研究员在轮换同事的协助下组织，计划在2022年，2023年和2024年的夏天每年培训约10名本科生。参与者将在全国范围内搜索后选择。招聘将针对代表性不足的群体的参与者以及不为本科生提供类似STEM研究活动的机构的参与者。REU计划将使本科生享受增强的学习体验，包括研究项目和研讨会。UVA REU计划的总体目标是吸引有才华的本科生从事数学科学的职业，这反过来有助于通过解决下一代研究人员准备中的关键问题来促进科学和国家安全的进步。研究课题将对学生开放，但将超越传统的数学课程，涉及与解析数论相关的前沿研究，椭圆曲线、伽罗瓦表示、模形式、分拆、素数和量子模形式。这些领域应用于互联网安全，物理建模和其他物理科学。除了追求原创研究，参与者将在数学专业的各个方面得到指导。将举行关于资助申请准备、研究生院准备和工业职业的会议，以帮助参与者为数学科学的“真实的世界”做好准备。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。