Organizing Committee
- Margaret Beck
Boston University - Todd Kapitula
Calvin College - Bjorn Sandstede
Brown 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 $3,000 stipend*.
The 2016 Summer@ICERM program is designed for a select group of 14-16 undergraduate scholars. Students work in groups of two to four, supervised by faculty advisors and aided by teaching assistants. The faculty advisors present a number of research topics that are centered around modeling, dynamical systems, and stochastic systems.
Examples include stripe formation in zebrafish, the structure of roll patterns that arise in buckling and vegetation patterns, and the dynamics of planar spiral waves. Tackling these problems will require a combination of analytical and computational approaches. Students form research groups to work on these problems, give talks about their findings, and write up their research into a paper at the end of the program.




Program Details
- 2016 Research Project Topics
-
During the 2016 Summer@ICERM program, the faculty organizers will describe a number of open-ended problems at the interface of applications, modeling, and deterministic and stochastic dynamical systems. These problems arise in current research, are amenable to analysis and computation, and may be approached from a number of different angles. Participants will be expected to gain intuition into some of these problems via analysis, computer experimentation, and visualization.
- Agent-based modelling of pattern-forming processes
- Snaking in the Swift-Hohenberg equation
- Patterns in planar systems Downloadable PDF of Project Descriptions
- Funding Includes
-
- $3,000 stipend
- Dormitory housing
- Meal plan
- Travel support within U.S.
- Fun events Brown University students (only) should apply via the Brown I-TEAM UTRA for "Dimensions and Stochastics".
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Madeline Abbott
Macalester College
-
Dylan Altshuler
Princeton University
-
Tarik Aougab
Brown University
-
Chloe Avery
University of California, Santa Barbara
-
Margaret Beck
Boston University
-
Julia Bujalski
Emmanuel College
-
Paul Carter
Brown University
-
Dorothy Catey
University of Idaho
-
Carter Chain
Purdue University
-
Neil Chandra
Brown University
-
Tracy Chin
Brown University
-
Veronica Ciocanel
Brown University
-
Cassandra Cole
Brown University
-
Jordan Collignon
California State University, Monterey Bay
-
Surabhi Desai
University of St Andrews
-
Philip Doldo
Rensselaer Polytechnic Institute
-
Bethany Dubois
Brown University
-
Grace Dwyer
University of Virginia
-
Qing Fan
Pomona College
-
Todd Kapitula
Calvin College
-
Quang-Nhat Le
Brown University
-
Francesca Lim
Brown University
-
Jasleen Malvai
Brown University
-
Melissa Morrissey
Brown University
-
Micah Pedrick
Harvey Mudd College
-
Jordan Rosenthal-Kay
Tufts University
-
Joshua Ruiter
Calvin College
-
Jacob Ruth
Brown University
-
Bjorn Sandstede
Brown University
-
Tharathep Sangsawang
Pitzer College
-
Rebecca Santorella
The College of New Jersey
-
Melissa Stadt
University of Washington
-
Sergei Tabachnikov
ICERM and Penn State
-
Ryan Utke
Grinnell College
-
Alexandria Volkening
Brown University
-
Aric Wheeler
University of North Carolina at Chapel Hill
Summer Schedule
Monday, June 20, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 10:00am EDT | Welcome / Meet & Greet | 121 South Main Street 11th Floor | |
10:00 - 11:15am EDT | Scavenger Hunt | Brown Campus | |
11:30 - 1:00pm EDT | Welcome Lunch | 11th Floor Collaborative Space | |
1:00 - 2:30pm EDT | Research Project Presentations | 11th Floor Lecture Hall | |
2:30 - 3:00pm EDT | Coffee/Tea Break | 11th Floor Collaborative Space | |
3:00 - 4:30pm EDT | Research Project Presentations | 11th Floor Lecture Hall |
Tuesday, June 21, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 10:00am EDT | Research Project Presentation | 11th Floor Lecture Hall | |
10:00 - 10:30am EDT | Discussion | 11th Floor Lecture Hall | |
10:30 - 11:30am EDT | Research Project Presentation | 11th Floor Lecture Hall | |
11:30 - 1:00pm EDT | Lunch | ||
1:00 - 2:30pm EDT | Research Project Presentation | 11th Floor Lecture Hall | |
2:30 - 3:00pm EDT | Coffee/Tea Break | 11th Floor Collaborative Space | |
3:00 - 5:00pm EDT | Discussion/Reading | ||
5:30 - 7:30pm EDT | Dinner | Flatbread Company, 161 Cushing St, Providence, RI 02906, USA |
Wednesday, June 22, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 9:30am EDT | IT Tutorial - Brian Lavall, ICERM | 11th Floor Lecture Hall | |
7:00 - 9:00pm EDT | Game Night | 170 Hope Street, Room 108 |
Thursday, June 23, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 11:00am EDT | Mini-course: Dynamical Systems | 11th Floor Lecture Hall | |
12:00 - 1:00pm EDT | Lunch | ||
1:00 - 2:30pm EDT | Mini-course: Matlab | 11th Floor Lecture Hall | |
2:30 - 3:00pm EDT | Break | 11th Floor Collaborative Space |
Friday, June 24, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 11:00am EDT | Mini-course: Numerical Methods | 10th Floor Classroom | |
12:00 - 1:00pm EDT | Lunch | ||
2:30 - 3:00pm EDT | Break | 11th Floor Collaborative Space |
Monday, June 27, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 11:00am EDT | Mini-course: Modelling | 10th Floor Classroom | |
12:00 - 1:00pm EDT | Lunch | ||
1:00 - 2:30pm EDT | Mini-course: Partial Differential Equations | 10th Floor Classroom | |
2:30 - 3:00pm EDT | Break | 10th Floor Collaborative Space |
Tuesday, June 28, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 11:00am EDT | Mini-course: Probability | 10th Floor Classroom | |
12:00 - 1:00pm EDT | Lunch | ||
2:30 - 3:00pm EDT | Break | 10th Floor Collaborative Space |
Wednesday, June 29, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 9:30am EDT | How to make illustrations | 170 Hope Street, Room 108 | |
9:30 - 10:00am EDT | How to use LaTeX | 170 Hope Street, Room 108 |
Thursday, June 30, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 10:00am EDT | How to give presentations | 170 Hope Street, Room 108 |
Friday, July 1, 2016
Time | Event | Location | Materials |
---|---|---|---|
2:30 - 5:00pm EDT | Research team presentations (10 min per team; 3 slides max) | 170 Hope Street, Room 108 |
Tuesday, July 5, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 10:30am EDT | Ethics Training | 11th Floor Lecture Hall |
Wednesday, July 6, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 10:00am EDT | Lorenz attractors in flows and maps - Ivan Ovsyannikov, Universität Bremen | 170 Hope St., room 108 |
Monday, July 11, 2016
Time | Event | Location | Materials |
---|---|---|---|
2:30 - 3:00pm EDT | Coffee/Tea Break | 11th Floor Collaborative Space |
Tuesday, July 12, 2016
Time | Event | Location | Materials |
---|---|---|---|
2:30 - 3:00pm EDT | Coffee/Tea Break | 11th Floor Collaborative Space |
Wednesday, July 13, 2016
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 10:00am EDT | Proofs (not) from the Book - Sergei Tabashnikov, Penn State University | 11th Floor Lecture Hall | |
2:30 - 3:00pm EDT | Coffee/Tea Break | 11th Floor Collaborative Space |
Thursday, July 14, 2016
Time | Event | Location | Materials |
---|---|---|---|
2:30 - 3:00pm EDT | Coffee/Tea Break | 11th Floor Collaborative Space |
Friday, July 15, 2016
Time | Event | Location | Materials |
---|---|---|---|
12:00 - 1:00pm EDT | Turing patterns without diffusion- how immobile pigment cells can color the skin of zebrafish - Domenico Bullara, University of the Balearic Islands - Palma | 11th Floor Lecture Hall | |
2:00 - 2:30pm EDT | Coffee/Tea Break | 11th Floor Collaborative Space | |
2:30 - 5:00pm EDT | Research Team Presentations | 11th Floor Lecture Hall |
Monday, July 18, 2016
Time | Event | Location | Materials |
---|---|---|---|
2:30 - 3:00pm EDT | Belated Yellow Pig Day Coffee/Tea Break |
Wednesday, July 20, 2016
Time | Event | Location | Materials |
---|---|---|---|
3:30 - 5:00pm EDT | Graduate School Panel | 170 Hope Street, Room 108 |
Tuesday, July 26, 2016
Time | Event | Location | Materials |
---|---|---|---|
4:15 - 5:30pm EDT | Fellowship Panel | 170 Hope Street, Room 108 |
Wednesday, July 27, 2016
Time | Event | Location | Materials |
---|---|---|---|
5:15 - 7:30pm EDT | Movie Night | 11th Floor Lecture Hall |
Thursday, July 28, 2016
Time | Event | Location | Materials |
---|---|---|---|
5:15 - 6:30pm EDT | Women in Math Social | 11th Floor Conference Room |
Tuesday, August 2, 2016
Time | Event | Location | Materials |
---|---|---|---|
1:00 - 2:00pm EDT | Social Factors and Underrepresentation in Mathematics - Margaret Beck, Boston University and Moon Duchin, Tufts University | 170 Hope Street, Room 108 |
Friday, August 5, 2016
Time | Event | Location | Materials |
---|---|---|---|
11:00 - 1:00pm EDT | Summer Research Symposium | Sayles Hall, Providence, RI 02912, USA |
Wednesday, August 10, 2016
Time | Event | Location | Materials |
---|---|---|---|
4:30 - 5:15pm EDT | Gender Representation on Journal Editorial Boards in the Mathematical Sciences | 10th Floor Classroom |
Thursday, August 11, 2016
Time | Event | Location | Materials |
---|---|---|---|
2:00 - 2:30pm EDT | Coffee/Tea Break and Cake! | 10th Floor Collaborative Space |
Final Projects
- Final Student Presentations
-
- "Plurality and Stability in Continuous Time Opinion Formation on Weighted Directed Graphs" by J. Bujalski, G. Dwyer, H. Malvai, and J. Rosenthal-Kay
- "Propagation of Lead in Mammals" by M. Morrissey and J. Collignon
- "Diffusion Maps in Equation-Free Modeling" by T. Chin, J. Ruth, and R. Santorella
- "Summary of Koopman Theory Results" by C. Chain, M. Pedrick, and R. Utke
- "Nonorientable Bundles" by S. Desai, M. Stadt, and A. Wheeler
- "Snaking in the Swift-Hohenberg Equation in Dimensions 1 Versus 1+" D. Altschuler, C. Avery and T. Sangsawang
- "Stability of Agent-based Models: Overview" by C. Cole, P. Doldo, Q. Fan
- "Modelling Stripe Formation on Zebrafish Fins" by M. Abbott, D. Catey, N. Chandra, F. Lim, and B. Dubois Read more about each project
- Completed Student Projects
-
- Abbott, D. Catey, N. Chandra, B. Dubois, and F. Lim, and A. Volkening plan to submit a paper on “Stripe formation in zebra fish fins”.
- T. Aougab, M. Beck, P. Carter, S. Desai, B. Sandstede, M. Stadt, and A. Wheeler. "Isolas versus snaking of localized rolls". Journal of Dynamics and Differential Equations 31, 1199–1222 (2019).
- J. Bujalski, G. Dwyer, T. Kapitula, Q.-N. Le, H. Malvai, J. Rosenthal-Kay, and J. Ruiter, "Consensus and clustering in opinion formation on networks". Phil. Trans. Royal Society A 376: 20170186 (2018).
- M. Morrissey and J. Collignon, "Propagation of lead in the human body", SIAM Undergraduate Research Online 10.
- A. Volkening, M. R. Abbott, N. Chandra, B. Dubois, F. Lim, D. Sexton, and B. Sandstede submitted "Modeling Stripe Formation on Growing Zebrafish Tailfins" to the Society of Mathematical Biology.
- Posters presented at JMM 2017 in Atlanta Georgia
-
- Snaking in the Swift-Hohenberg Equation in Dimensions 1 vs 1 + ε (C. Avery)
- Spectral Theory of Koopman Operators (M. Pedrick, R. Utke, C. Chain)
- Stability of Agent-based Models (C. Cole, P. Doldo, Q. Fan)** **This poster received the MAA’s “Outstanding Poster” during the Student Poster Session at JMM 2017
- Posters presented during the Nebraska Conference for Undergraduate Women in Mathematics in winter 2017
-
- Snaking in Systems with Non-Orientable Manifolds (S. Desai)
- Continuous Time Opinion Formation on Directed Weighted Graphs (J. Malvai)
T. Kapitula gave talks at the AMS SE Sectional meeting in Charleston, SC, and at a seminar at Michigan State U.