Organizing Committee
- Yanlai Chen
University of Massachusetts, Dartmouth - Akil Narayan
University of Utah - Minah Oh
James Madison University
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 2020 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 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.
Program Details
- 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.
- Deadline
-
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.
Final Projects
- Final Student Project Presentations, Reports, and Code
-
- "Iterative methods for electromagnetic problems" by T. Crupi, H. Odom, and Y. Moise. Final Presentation, Final Report, GitHub.
- "Randomized SVD and Its Applications" by K. Keegan, D. Melendez, and J. Zheng. Final Presentation, Final Report, GitHub.
- "Efficient eigensolvers and their applications" by K. Rivera, J. Fox, and E. Liu. Final Presentation, Final Report, GitHub.
- "Graph Spectral Clustering" by M. Daniels, C. Huang, C. Makdad, and S. Makharia. Final Presentation, Final Report, Code.
- "Random projections and dimension reduction" by R. Advani, S. O’Hagan, and M. Crim. Final Presentation, Final Report, Code, arXiv.
- SIAM Annual Meeting 2021 Presentations
-
- Multigrid for Fourier Finite Element Methods on Axisymmetric Domains abstract (Yonah Moise, Trevor Crupi, and Hannah Odom)
- Applications of the Singular Value Decomposition in Media Processing and Watermarking Schemes abstract (Katherine Keegan, David Melendez, and Jennifer Zheng)
Publications
- Rishi Advani, Sean O'Hagan, Efficient Algorithms for Constructing an Interpolative Decomposition, arXiv:2105.07076, 2022.
- Jennifer Zheng, Media Processing and A Modified Watermarking Scheme Based on the Singular Value Decomposition, SIAM Undergraduate Research Online 14 (2021), .
- Rishi Advani, Madison Crim, Se C. O’Hagan, Random Projections and Dimension Reduction, ArXiv abs/2008.04552 (2020).
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Rishi Advani
Cornell University
-
Justin Baker
University of Utah
-
William Barton
University of Massachusetts
-
Yanlai Chen
University of Massachusetts, Dartmouth
-
Madison Crim
Salisbury University
-
Trevor Crupi
Purdue University
-
Max Daniels
Northeastern University
-
Justin Dong
Brown University
-
Jordan Fox
Western Carolina University
-
Sigal Gottlieb
University of Massachusetts Dartmouth
-
Catherine Huang
Berkeley
-
Ryan Jeong
University of Pennsylvania
-
Katherine Keegan
Mary Baldwin University
-
Jessica Libertini
Virginia Military Institute
-
Yuqing Liu
University of Michigan
-
Chloe Makdad
Butler University
-
Shubham Makharia
1999
-
David Melendez
University of Central Florida
-
Alexandru Mihai
Okinawa Institute of Science and Technology
-
Yonah Moise
Yeshiva University
-
Akil Narayan
University of Utah
-
Sean O'Hagan
University of Connecticut
-
Hannah Odom
University of Texas at Austin
-
Minah Oh
James Madison University
-
Maricela Ramirez
University of Mary Hardin-Baylor
-
Kelly Rivera
St. Thomas University
-
Gilbert Strang
Massachusetts Institute of Technology
-
Francis Su
Harvey Mudd College
-
Chad Topaz
Williams College
-
Liu Yang
Brown University
-
Jennifer Zheng
Emory University
Summer Schedule
Monday, June 8, 2020
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 12:00pm EDT | Meet and Greet - ICERM Director, Brendan Hassett | ||
2:00 - 3:00pm EDT | Summer Program Overview - Organizers |
Tuesday, June 9, 2020
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 11:00am EDT | Randomized singular value decomposition and its applications - Minah Oh, James Madison University | ||
11:30 - 12:30pm EDT | Graph spectral clustering and sparsification - Akil Narayan, University of Utah | ||
2:00 - 2:30pm EDT | Student Presentations | ||
3:00 - 3:30pm EDT | Student Presentations | ||
4:00 - 5:00pm EDT | Coffee/ Tea Break |
Thursday, June 11, 2020
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 11:00am EDT | Efficient eigensolvers and their applications - Yanlai Chen, University of Massachusetts Dartmouth | ||
11:30 - 12:30pm EDT | Iterative methods for electromagnetic problems - Minah Oh, James Madison University | ||
2:00 - 2:30pm EDT | Student Presentations | ||
2:45 - 3:15pm EDT | Student Presentations | ||
4:00 - 5:00pm EDT | Research in applied + computational math - Sigal Gottlieb, University of Massachusetts Dartmouth |
Friday, June 12, 2020
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 11:00am EDT | Random projections and dimension reduction - Akil Narayan, University of Utah | ||
11:30 - 12:30pm EDT | Theoretical and computational aspects of expressive power of deep neural networks - Yanlai Chen, University of Massachusetts Dartmouth | ||
2:00 - 2:30pm EDT | Student Presentations | ||
3:00 - 3:30pm EDT | Student Presentations | ||
4:00 - 5:00pm EDT | Coffee/ Tea Break |
Sunday, June 14, 2020
Time | Event | Location | Materials |
---|---|---|---|
5:00 - 6:00pm EDT | Ranked Project List Due |
Monday, June 15, 2020
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 11:30am EDT | Social Activity | ||
1:00 - 2:00pm EDT | Group Project assignments and initial discussions | ||
2:00 - 3:00pm EDT | Tutorial and demo: Version Control - Justin Baker |
Tuesday, June 16, 2020
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 11:00am EDT | Tutorial and demo: LaTeX - Alexandru Mihai |
Wednesday, June 17, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:00pm EDT | Tutorial and demo: Python - Liu Yang, Brown University |
Thursday, June 18, 2020
Tuesday, June 23, 2020
Time | Event | Location | Materials |
---|---|---|---|
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Thursday, June 25, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:00pm EDT | Quantitative Approaches to Social Justice - Chad Topaz, Williams College | ||
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Friday, June 26, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:30pm EDT | Whole group discussion / presentations |
Tuesday, June 30, 2020
Time | Event | Location | Materials |
---|---|---|---|
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Thursday, July 2, 2020
Time | Event | Location | Materials |
---|---|---|---|
3:00 - 4:00pm EDT | Math Jeopardy |
Friday, July 3, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:30pm EDT | Whole group discussion / presentations |
Tuesday, July 7, 2020
Time | Event | Location | Materials |
---|---|---|---|
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Thursday, July 9, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:00pm EDT | An Undisciplinarian View of STEM and Policy - Jessica Libertini, Virginia Military Institute | ||
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Friday, July 10, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:30pm EDT | Whole group discussion / presentations |
Tuesday, July 14, 2020
Time | Event | Location | Materials |
---|---|---|---|
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Wednesday, July 15, 2020
Time | Event | Location | Materials |
---|---|---|---|
1:00 - 2:00pm EDT | Professional Development: Ethics I |
Thursday, July 16, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:00pm EDT | Linear Algebra for Everyone. - Gilbert Strang, MIT | ||
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Friday, July 17, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:30pm EDT | Whole group discussion / presentations |
Tuesday, July 21, 2020
Time | Event | Location | Materials |
---|---|---|---|
3:00 - 4:00pm EDT | Math Jeopardy |
Wednesday, July 22, 2020
Time | Event | Location | Materials |
---|---|---|---|
1:00 - 2:00pm EDT | Professional Development: Ethics II |
Thursday, July 23, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:00pm EDT | Grad Student Panel - Justin Dong, Brown University; Yin-Ting Liao, Brown University; Alexandru Mihai, Okinawa Institute of Science and Technology; and Elizabeth Qian, Massachusetts Institute of Technology. | ||
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Friday, July 24, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:30pm EDT | Whole group discussion / presentations |
Tuesday, July 28, 2020
Time | Event | Location | Materials |
---|---|---|---|
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Thursday, July 30, 2020
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 3:00pm EDT | Q&A Session about working at NSA - Paul Boisen, NSA | ||
3:00 - 4:00pm EDT | Make your own coffee/tea break |
Friday, July 31, 2020
Time | Event | Location | Materials |
---|---|---|---|
1:00 - 2:30pm EDT | Final Presentations | ||
3:00 - 4:30pm EDT | Final Presentations |