The faculty advisers will present a variety of interdisciplinary research topics utilizing large-scale linear algebra, model reduction, randomized algorithms, and deep learning. Participants will have the opportunity to learn the theoretical underpinnings of these research topics in applied and computational mathematics and will help develop open-source software tools that accomplish data-driven scientific predictions.
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, version control, and Tex typesetting. 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.
- 2020 Proposed Research Project Topics
- Iterative methods for electromagnetic problems
- Randomized singular value decomposition and its applications
- Efficient eigensolvers and their applications
- Theoretical and computational aspects of expressive power of deep neural networks
- Graph spectral clustering and sparsification
- Random projections and dimension reduction
- Important Notes
- Applicants must be matriculating undergraduate students at the time of the start of Summer@ICERM 2020.
- 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.
February 14, 2020
All students must apply via MathPrograms.org by this date to receive full consideration. ICERM will begin making offers to students between late February and early March 2020.