REU Site: Wake/Davidson Experience In Number Theory Research

总统科学技术顾问理事会（PCAST）的报告强调，学生参与研究是招募和留住STEM专业学生的有效途径，有助于满足经济对STEM培训学生的需求，特别是来自“代表性不足的大多数”-70%的大学生是女性和少数民族。该唤醒/戴维森数论研究经验（WADE INTO研究）计划将提供为期九周的本科生（REU）在2015年，2016年和2017年的夏季为八名学生的夏季研究经验。这些学生将被分为两组，每组四人，在凯瑟琳汤普森博士（戴维森学院）和杰里米劳斯博士（维克森林大学）的指导下进行数论的原创性研究。通过参与原创性研究，学生将从数学课程的学生过渡到为该学科做出原创性贡献的独立学者。他们将体验到数学研究的兴奋、喜悦、挑战和成功，每个学生小组的目标是在夏季结束前撰写并提交原创研究论文供出版。数论是数学最古老的分支学科之一，充满了许多简单的问题，这些问题需要现代数学的全部武器来解决，或者迄今为止还没有解决。WADE进入研究参与者将攻击涉及初等数论，代数数论，二次形式，模形式和椭圆曲线的问题。这些问题将根据学生的兴趣，优势和数学品味进行选择。研究工作将得到一个强大的专业发展计划的补充，重点是编程，数学写作，数学专业的工作和研究生学习。学生们将在格鲁吉亚大学的夏季会议上以及AMS/MAA联席会议上展示他们的研究成果。

The report of the President's Council of Advisors on Science and Technology (PCAST) highlights student research engagement as an effective way to recruit and retain STEM majors and help meet the economy's demand for students with STEM training, especially from the "underrepresented majority" - the 70% of college students that are women and racial minorities. The Wake/Davidson Experience in Number Theory Research (WADE INTO Research) program will provide a nine-week summer research experience for undergraduates (REU) for eight students during the summers of 2015, 2016, and 2017. These students will be divided into two groups of four and conduct original research in number theory under the direction of Dr. Katherine Thompson (of Davidson College), and Dr. Jeremy Rouse (of Wake Forest University). By participating in original research, the students will transition from being students in mathematics courses to being independent scholars who make original contributions to the discipline. They will experience the excitement, joys, challenges, and success of mathematics research, with the goal of each student group writing and submitting for publication an original research paper by the end of the summer.Number theory is one of the oldest sub-disciplines of mathematics and is replete with many simple to state problems that require the full arsenal of modern mathematics to solve, or which have so-far eluded solution. WADE Into Research participants will attack problems involving elementary number theory, algebraic number theory, quadratic forms, modular forms, and elliptic curves. These problems will be selected with the student's interests, strengths and mathematical tastes in mind. The research work will be complemented by a robust professional development program focusing on programming, mathematical writing, jobs for mathematics majors, and graduate study. The students will present the results of their research at a summer conference at the University of Georgia, and at the AMS/MAA Joint Meetings.