Summer Undergraduate Research: Computational Polygonal Billiards

Recent S@I Cohort
2020 S@I Virtual Cohort

The Summer@ICERM program at Brown University is an eight-week program designed for a select group of 18-22 undergraduate scholars. It comes with a $3,570 stipend. (Providence, RI room, board, and travel funding provided for in-person programming, pandemic permitting.)
The faculty advisers will present a variety of research projects on the theme of computational polygonal billiards and flat surfaces. This overarching theme will allow participants to use the theory of flat surfaces, along with the computational tools of pre-existing free software including Sage packages, to work on open problems in the field. The faculty will also guide the development of free software for flat surfaces.
Throughout the eight-week program, students will work on their assigned projects in groups of two to four, supervised by faculty advisors and aided by TAs. Students will meet daily, give regular talks about their findings, attend mini-courses, guest talks, and professional development seminars, and will acquire skills in free software development. Students will learn how to collaborate mathematically, working closely in their teams to write up their research into a paper. Applications submitted via by February 14, 2021, will receive full consideration.
Project 1: The Finite Blocking Problem
Project 2: Square-Tiled Surfaces
Project 3: Periodic Points on Veech Surfaces
Project 4: Periodic Billiard Paths