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 $3,000 stipend*.

The Summer@ICERM 2013 program is designed for a select group of 10-12 undergraduate scholars. Students will work in small groups of two or three, supervised by faculty advisors and aided by teaching assistants.

The faculty advisors will provide a list of interesting open problems in geometry and in dynamical systems. These problems include Euclidean, hyperbolic and projective geometry, iteration of geometric constructions, and mathematical billiards. Students will form research groups to work on the problems, will give talks about their findings, and will write up their research into a paper at the end of the program.

Summer@ICERM 2013 Participants: Back row, L to R: Sergei Tabachnikov, Chaim Goodman-Strauss, Benjamin De Meo, Alex St. Laurent, Eric Chen, Xidian Sun, Cristian Munteanu, Matthew Cole, Emily Fischer, Ryan Greene, Tarik Aougab; Front row, L to R: Zijian Yao, Kamron Vachiraprasith, Yuwen Wang, Stephanie Ger, Kelsey DiPietro, Ananya Uppal, Jenny Rustad
Image Credit: C. Goodman-Straus
Image Credit: C. Goodman-Straus

"The program exceeded my expectations by any standard I can think to apply -- the students were by and large strong and motivated, the ones I interacted with regularly were clearly learning quite a bit, the people involved in organizing the program were a pleasure to work with, and the outcomes in terms of research have been impressive. It was both fun and rewarding to be involved in this program."
-- Summer@ICERM 2013 Participant

Program Details

2013 Research Project Topics

In this Research Program, the faculty organizers will stress open questions which are accessible via mathematical methods available to undergraduates. In addition, participants are expected to be able to gain intuition into some of these problems via computer experimentation and visualization.

Funding Includes
  • $3,000 stipend
  • Dormitory housing
  • Meal plan
  • Travel support within U.S.
  • Fun events
  • Brown University students must also apply for an UTRA in order to be eligible to receive the $3,000 stipend (in lieu of the Summer@ICERM funding package).

Confirmed Speakers & Participants

Summer Schedule

Monday, June 17, 2013
TimeEventLocationMaterials
10:00 - 10:30Welcome/Meet Greet121 S. Main St., 11th Floor 
10:30 - 11:45Scavenger Hunt  
12:00 - 1:30Welcome Lunch11th Floor Conference Room 
2:00 - 3:00Piecewise Circular Space Curves - Tom Banchoff, Brown University11th Floor Lecture Hall 
3:00 - 5:00Research Topic Introductions11th Floor Lecture Hall 
Tuesday, June 18, 2013
TimeEventLocationMaterials
8:30 - 12:30BEARCORE TrainingSmith Buonanno Hall, 95 Cushing St. 
12:30 - 1:30Break for Lunch  
1:30 - 3:00Research Topic Introductions11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, June 19, 2013
TimeEventLocationMaterials
9:00 - 12:00Research Topic Introductions11th Floor Collaborative Space 
2:30 - 3:00IT Tutorial - Isani Cayetano, ICERM11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
Thursday, June 20, 2013
TimeEventLocationMaterials
9:00 - 12:00Research Topic Introductions11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
Friday, June 21, 2013
TimeEventLocationMaterials
9:00 - 12:00Research Topic Introductions11th Floor Lecture Hall 
1:30 - 3:00Form Research Groups11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
Monday, June 24, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
Tuesday, June 25, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
1:30 - 2:30Research Group Meetings: Hyperbolic Billiards 1 - Supervisors: Chaim, Tarik  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards 2 - Supervisors: Ryan, Tarik  
Wednesday, June 26, 2013
TimeEventLocationMaterials
1:00 - 2:00Letting Loops Loose - Yuliy Baryshnikov, University of Illinois Urbana-Champaign 11th Floor Lecture Hall 
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, June 27, 2013
TimeEventLocationMaterials
9:30 - 11:30Meet at ICERM for AMS Field Trip  
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
Friday, June 28, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Hyperbolic Billiards 1 - Supervisors: Chaim, Tarik  
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards 2 - Supervisors: Ryan, Tarik  
Monday, July 1, 2013
TimeEventLocationMaterials
10:00 - 12:00Introduction to Complex Dynamics - Sarah Koch, Harvard University11th Floor Lecture Hall 
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
Tuesday, July 2, 2013
TimeEventLocationMaterials
10:00 - 12:00Introduction to Complex Dynamics - Sarah Koch, Harvard University11th Floor Lecture Hall 
1:30 - 2:30Research Group Meetings: Hyperbolic Billiards 1 - Supervisors: Chaim, Tarik  
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards 2 - Supervisors: Ryan, Tarik  
Wednesday, July 3, 2013
TimeEventLocationMaterials
10:00 - 12:00Introduction to Complex Dynamics - Sarah Koch, Harvard University11th Floor Lecture Hall 
2:30 - 3:30Meet and Greet with the French Students11th Floor Collaborative Space 
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, July 4, 2013
TimeEventLocationMaterials
8:00 - 5:00ICERM Closed   
Friday, July 5, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Hyperbolic Billiards 1 - Supervisors: Chaim, Tarik  
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards 2 - Supervisors: Ryan, Tarik  
Monday, July 8, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
Tuesday, July 9, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards - Supervisors: Ryan, Tarik, Chaim  
Wednesday, July 10, 2013
TimeEventLocationMaterials
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
7:00 - 9:30Summer@ICERM Math Movie Night11th Floor Lecture Hall 
Thursday, July 11, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
Friday, July 12, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards - Supervisors: Ryan, Tarik, Chaim  
Monday, July 15, 2013
TimeEventLocationMaterials
9:30 - 11:00The JAVA programming language. - Pat Hooper, City College of New York10th Floor Classroom 
11:00 - 12:00Progress Seminar11th Floor Lecture Hall 
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
Tuesday, July 16, 2013
TimeEventLocationMaterials
9:30 - 11:00Mathematical graphics - Pat Hooper, City College of New York10th Floor Classroom 
11:00 - 12:00Progress Seminar11th Floor Lecture Hall 
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards - Supervisors: Ryan, Tarik, Chaim  
Wednesday, July 17, 2013
TimeEventLocationMaterials
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
Thursday, July 18, 2013
TimeEventLocationMaterials
9:30 - 11:00Creating interactive programs - Pat Hooper, City College of New York10th Floor Classroom 
11:00 - 11:25Progress Seminar: Constant Curvature10th Floor Classroom 
11:25 - 11:50Progress Seminar: Negative Snell10th Floor Classroom 
11:50 - 12:15Progress Seminar: Piecewise Circular10th Floor Classroom 
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
Friday, July 19, 2013
TimeEventLocationMaterials
9:30 - 11:00Sharing programs with others - Pat Hooper, City College of New York10th Floor Classroom 
11:00 - 11:25Progress Seminar: Hyperbolic Billiards10th Floor Classroom 
11:25 - 11:50Progress Seminar: Nonconvex Tripod10th Floor Classroom 
11:50 - 12:15Progress Seminar: Equiangular Chords10th Floor Classroom 
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards - Supervisors: Ryan, Tarik, Chaim  
Monday, July 22, 2013
TimeEventLocationMaterials
10:00 - 11:30Presentations10th Floor Classroom 
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
Tuesday, July 23, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards - Supervisors: Ryan, Tarik, Chaim  
Wednesday, July 24, 2013
TimeEventLocationMaterials
11:45 - 12:45Lunch with the REUF Workshop11th Floor Collaborative Space 
1:00 - 2:00Lattices and Public Key Cryptography - Jeff Hoffstein, Brown University10th Floor Classroom 
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
6:00 - 8:00Game Night  
Thursday, July 25, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
Friday, July 26, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break10th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards - Supervisors: Ryan, Tarik, Chaim  
Monday, July 29, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
Tuesday, July 30, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards - Supervisors: Ryan, Tarik, Chaim  
Wednesday, July 31, 2013
TimeEventLocationMaterials
10:30 - 11:30Graduate Student Panel - Sergei Tabachnikov, Penn State and ICERM; Amalia Culiuc, Brown University; and Ian Alevy, Brown University11th Floor Lecture Hall 
1:00 - 2:00Spiral waves: from experiments to theory - Bjorn Sandstede, Brown University11th Floor Lecture Hall 
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
6:00 - 8:00Summer@ICERM Game Night11th Floor Lecture Hall 
Thursday, August 1, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meeting: Equiangular Chords - Supervisors: Sergei, Tarik  
1:30 - 2:30Research Group Meeting: Constant Curvature - Supervisors: Chaim, Diana  
2:30 - 2:45Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Nonconvex Tripod - Supervisors: Sergei, Ryan  
3:00 - 4:00Research Group Meeting: Negative Snell - Supervisors: Chaim, Diana  
Friday, August 2, 2013
TimeEventLocationMaterials
1:30 - 2:30Research Group Meetings: Piecewise Circular - Supervisors: Sergei, Diana, Ryan  
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00Research Group Meeting: Hyperbolic Billiards - Supervisors: Ryan, Tarik, Chaim  
Monday, August 5, 2013
TimeEventLocationMaterials
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, August 6, 2013
TimeEventLocationMaterials
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, August 7, 2013
TimeEventLocationMaterials
11:30 - 12:30Summer@ICERM Lunch with Directors11th Floor Conference Room 
2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, August 8, 2013
TimeEventLocationMaterials
10:00 - 10:45Student Presentations: Tripod 11th Floor Lecture Hall 
11:00 - 11:45Student Presentations: Equiangular Chords11th Floor Lecture Hall 
12:00 - 1:30Break for Lunch  
1:30 - 2:50Student Presentations: Outer Billiards11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:15Student Presentations: Constant Curvature11th Floor Lecture Hall 
Friday, August 9, 2013
TimeEventLocationMaterials
10:00 - 10:45Student Presentations: Piecewise Circular11th Floor Lecture Hall 
11:00 - 11:45Student Presentations: Negative Snell11th Floor Lecture Hall 
12:00 - 2:00Break for Lunch  
2:00 - 2:30Closing Remarks & Refreshments11th Floor Lecture Hall and Collaborative Space 

Final Projects

Final Student Presentations
Completed Student Projects

Other Summer@ICERM Events

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