Institute for Computational and Experimental Research in Mathematics, Brown University

Program ID: ICERM-SI2019 [#717]
Program Title: Summer@ICERM: Undergraduate Summer Research Program: Computational Arithmetic Dynamics
Program Type: Undergraduate program
Program Location: Providence, Rhode Island 02912, United States [map]
Subject Area: Mathematics
Application Deadline: 2019/02/15 (posted 2018/10/22, updated 2018/10/04)
Program Description:    

SUMMER@ICERM: Undergraduate Summer Research Program at Brown University

"Computational Arithmetic Dynamics" from June 10 - August 2, 2019

Organizing Committee: John R. Doyle (Lousiana Tech University), Benjamin Hutz (Saint Louis University), Bianca Thompson (Westminster College),  Adam Towsley (Rochester Institute of Technology)

The eight-week Summer@ICERM 2019 program is designed for a select group of 18-22 undergraduate scholars. The program will give undergraduates an opportunity for exposure and research in the methods of “Computational Arithmetic Dynamics”. 

The faculty advisers will present a variety of interdisciplinary research projects on the them of Computational Arithmetic Dynamics. aThis overarching theme will allow for participants to utilize theiry and computation from algebra, number theory, and algebraic geometry. Facutly will also guide the development of open-source computational tools for dynamical systems in Sage as well as work on a database of dynamical systems.

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, and will aquire skill in open-source sotfware development. 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.


  • Classification of Preperiodic Graphs
  • Automorphisms of Rational Functions
  • Post-Critically Finite Maps
  • Randomness over Finite Fields

More program details are available at:

Funding Includes*:

- $3,570 stipend
- Travel support within the U.S.
- Dormitory housing
- Meal plan
- Fun events

*Accepted Brown University students will receive Brown University's I-Team UTRA grant in lieu of the Summer@ICERM stipend, plus dorm and a meal plan. 


  • Applicants must be matriculating undergraduate students at the time of the start of Summer@ICERM 2019;
  • Funding is available for a very small number of students who are not US citizens or permanent residents.

Non-Brown University students must apply via by February 15, 2019 to receive full consideration. ICERM will begin making offers to non-Brown University students between late February and early March 2019. 

Brown University students must apply for an I-Team UTRA before January 15, 2019 (not via The I-Team UTRA awards will be announced to the Brown University student applicants on February 1, 2019. 

ICERM encourages women and members of underrepresented minorities to apply.

Application Materials Required:
Submit the following items online at this website to complete your application:
Further Info:
Brown University/ICERM
Box 1995
Providence, RI 02912

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