REU Site: Algebra and Number Theory at Emory University

本科生埃默里研究体验活动是本科生的一项紧张的研究活动。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了研究经验。该项目由首席研究员在轮值同事的协助下组织，计划在2019年、2020年和2021年夏季每年培训约10名本科生。参赛者将在全国范围内寻找后选出。招聘的对象将是来自代表性不足群体的参与者，以及来自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到增强的学习体验，包括研究项目和研讨会。埃默里REU项目的总体目标是吸引有才华的本科生投身数学科学领域，这反过来又有助于通过解决培养下一代研究人员的关键问题来促进科学进步和国家安全。研究主题将对学生开放，但将超越传统的数学课程，涉及与解析数论、椭圆曲线、伽罗瓦表示、模形式、划分和量子模形式相关的前沿研究。这些领域在互联网安全、物理建模和其他物理科学中都有应用。除了从事原创研究外，参与者还将在数学专业的各个方面接受指导。将举行关于拨款提案准备、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优势和更广泛的影响审查标准进行评估，被认为值得支持。

The Emory Research Experiences for Undergraduates 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 2019, 2020, and 2021. 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 Emory 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, 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.