Organizing Committee
- Paul Apisa
University of Michigan - Diana Davis
Phillips Exeter Academy - Samuel Lelièvre
Université Paris-Saclay
Abstract
Imagine creating career-building connections between peers, near peers (graduate students and postdocs), and academic professionals.
Imagine spending your summer in a fun, memorable, and intellectually stimulating environment.
Now, imagine having this experience while being paid a $3,570 stipend. (Providence, RI room, board, and travel funding provided for in-person programming, pandemic permitting.)
The 2021 Summer@ICERM program at Brown University is an eight-week residential program designed for a select group of 18-22 undergraduate scholars.
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. Faculty will also guide the development of free software for flat surfaces. Students will be assigned to one or more research groups before the program begins and will be expected to do background reading before the program starts. During the program, students will work with faculty advisors to ensure they have the background understanding necessary to work on the problems. Students will also learn programming skills and computational techniques, including using Sage.
Throughout the eight-week program, students will work on their projects in groups of two to four, supervised by faculty advisors and aided by teaching assistants. 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.



Program Details
- 2021 Proposed Research Topics
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- Project 1: The Finite Blocking Problem
- Project 2: Square-Tiled Surfaces
- Project 3: Periodic Points on Veech Surfaces
- Project 4: Periodic Billiard Paths
- Important Notes
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- Applicants must be matriculating undergraduate students at the time of the start of Summer@ICERM 2021.
- Funding is available for 2-3 students who are not US citizens or permanent residents.
- Funding Includes*
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- $3,570 stipend
- Providence, RI room, board, and travel funding provided for in-person programming, pandemic permitting. (Brown students who choose not to live in the dorm will waive ICERM provided housing and meal funding.)
- To Apply
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Applications accepted via MathPrograms.org. Applications submitted by February 14, 2021 will receive full consideration.