Summer@ICERM 2018: Low Dimensional Topology and Geometry
(June 11 – August 3, 2018)

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 $3,500 stipend*.

The 2018 Summer@ICERM program at Brown University is an eight-week residential program designed for a select group of 16-20 undergraduate scholars from around the world.

The faculty advisers will present a variety of research projects that are interdisciplinary and represent areas in low-dimensional topology, hyperbolic geometry, dynamics, and combinatorics. Student researchers will have the opportunity to explore theoretical problems at the intersections of these subfields, and to help design software packages for visualizing and experimenting with the building blocks of hyperbolic and affine geometry.

The faculty will begin the program with brief introductory talks. Throughout the eight-week program, students will work on assigned 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, practice coding, and learn Tex. Students will learn how to collaborate mathematically, and they will work closely in their teams to write up their research into a poster and/or paper by the end of the program.

ICERM provides an excellent research environment, and the students and their faculty and TA mentors will have access to shared offices and collaborative space throughout the institute. They also will have access to ICERM’s computer facilities and specialized software. ICERM staff will provide logistical support for students and will help build community through fun activities and events.


  • Curves on surfaces
  • Triangulations of 3-manifolds
  • Dynamics of Character Varieties
  • Visualization of Geometric Structures


Applicants must be matriculating undergraduate students at the time of the start of Summer@ICERM 2018.

Funding is available for a very small number of students who are not US citizens or permanent residents.


Non-Brown University students must apply by February 16, 2018 to receive full consideration (via ICERM will begin making offers to non-Brown University students between late February and early March 2018.

Students from Brown University must apply via the I-Team UTRA process (not via by January 15, 2018. Look for Tarik Aougab's "Low Dimensional Topology and Geometry" project on Brown's I-Team UTRA page between December 15, 2017 and January 15, 2018. The I-Team UTRA Awards will be announced to the Brown University student applicants on February 1, 2018.

Non-Brown Student Applications Open Dec 15

Organizing Committee

Funding includes*

  • $3,500 stipend
  • Dormitory housing
  • Meal plan
  • Travel support within U.S.
  • Fun events
*Brown students who choose not to live in the dorm will waive the dorm, meal, and travel funding.
View Summer@ICERM 2017 for sample schedule, completed projects, etc.
Image credit: T. Aougab & J. Gaster