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

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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.