Organizing Committee
Abstract

Imagine spending eight-weeks on the beautiful Brown University campus in historic Providence, RI, working in a small team setting to solve mathematical research problems developed by faculty experts in their fields.

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 with support for travel within the U.S., room and board paid, plus a $3,570 stipend*.

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 coming to campus. Upon arriving on campus, students will work with faculty advisors to ensure they have the background understanding necessary to work on the problems. All 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 by the end of the program.

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A billiard trajectory on a regular pentagon, with a two coloring
The "Gothic" translation surface
A polygon for which a candle placed at one indicated point does not illuminate the other indicated point

Program Details

2021 Proposed Research Project Topics
  • Watch for details
Important Notes
  • 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*
  • $3,570 stipend
  • Dormitory housing
  • Meal plan
  • Travel support within the U.S.
  • Fun events
  • *Brown students who choose not to live in the dorm will waive the dorm, meal, and travel funding.
To Apply

Applications will open in MathPrograms.org in fall 2020. Deadline is in early-to-mid-February.

Other Summer@ICERM Events

Summer@ICERM 2012: Geometry and Dynamics
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Summer@ICERM 2013: Geometry and Dynamics
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Summer@ICERM 2014: Polygons and Polynomials
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Summer@ICERM 2015: Computational Dynamics and Topology
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Summer@ICERM 2016: Dynamics and Stochastics
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Summer@ICERM 2017: Topological Data Analysis
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Summer@ICERM 2018: Low Dimensional Topology and Geometry
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Summer@ICERM 2019: Computational Arithmetic Dynamics
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