REU Site- Research Experience in Hyperbolic Geometry, Number Theory, and Inverse Problems

这个项目是八名学生在七周时间里的本科生研究体验。学生们将在一个由四名学生组成的研究小组中工作，并由一名教师指导。导师是从三个研究领域轮流挑选的：双曲几何、数论和反问题。尽管研究领域不同，但学生们将以团队合作的方式进行计算机实验、计算和模拟，以激发学生的学习兴趣。在计算的基础上，学生发现发现和提出猜想，然后继续证明定理，建立分类，或开发算法。除了这个技术项目，学生还将参加一个伙伴项目，以发展他们的口头和书面数学沟通技能，协作和其他专业技能。这将通过要求的口头陈述和关于其工作的技术报告以及学生和私人侦查员之间的密切、积极的工作环境来实现，剧院是专门用于REU的计算机实验室/工作场所。

This project is an undergraduate research experience for eight students over seven weeks. Students will work in a research group of four students with one faculty mentor. Mentors are selected on a rotatingbasis from three research areas: hyperbolic geometry, number theory and inverse problems. Though the research areas are different the students will all collaborate in teams to conduct computer experiments, calculations, and simulations motivated by the problems. On the basis of the calculationsstudents to make discoveries and formulate conjectures, then moving on to proving theorems, establishing classifications, or developing algorithms. In addition to this technical program, students will be engaged in a companion program to develop their oral and written mathematical communication skills, collaborative, and other professional skills. This will be accomplished through required oral presentations and technical reports on their work and a close, positive working environment among the students and the P.I. in the Theorodrome, the computer laboratory/workplace devoted to the REU.