Organizing Committee
- Tarik Aougab
Brown University - Moira Chas
Stony Brook University - Jonah Gaster
McGill University - William Goldman
University of Maryland
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 $3,500 stipend*.
The 2018 Summer@ICERM program at Brown University is an eight-week residential program designed for a select group of 16-20 undergraduate scholars from around the world.
The faculty advisers will present a variety of research projects that are interdisciplinary and represent areas in low-dimensional topology, hyperbolic geometry, dynamics, and combinatorics. Student researchers will have the opportunity to explore theoretical problems at the intersections of these subfields, and to help design software packages for visualizing and experimenting with the building blocks of hyperbolic and affine geometry.
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, and learn Tex. 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.
Image credit: T. Aougab & J. Gaster
Program Details
- 2018 Proposed Research Project Topics
-
- Self-intersection Number of Geodesics
- Hausdorff Dimension and Hyperbolic Pair of Pants
- Symmetries of Curve Graph Variants
- Square Tilings
- Coloring Problem for Curve and Arc Graphs
- Curves Intersecting Each Other Twice
- Navigating the Space of SL_2(C) Characters
- Important Notes
-
- Applicants must be matriculating undergraduate students at the time of the start of Summer@ICERM 2018.
- Funding is available for a very small number of students who are not US citizens or permanent residents.
- Funding Includes
-
- $3,500 stipend
- Dormitory housing
- Meal plan
- Travel support within U.S.
- Fun events Brown students who choose not to live in the dorm will waive the dorm, meal, and travel funding.
- Deadlines
-
February 16, 2018 (for all non-Brown University students)
All non-Brown students must apply via MathPrograms.org by this date in order to receive full consideration. ICERM will begin making offers to non-Brown students between late February and early March 2018.
January 15, 2018 (for all Brown University Students)
Brown University students must apply for Summer@ICERM by emailing their interest to Professor Tarik Aougab, the I-Team faculty sponsor running this program. Up to six Brown students will be selected to participate, and Professor Aougab must submit the final list of Brown students to the UTRA selection committee by January 15, 2018. The I-Team UTRA Awards will be announced to the Brown student applicants on February 1, 2018.
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Tarik Aougab
Brown University
-
Jean-Philippe Burelle
CNRS-IHES
-
Francisco Castaneda
Instituto Tecnologico Autonomo de Mexico (ITAM)
-
Yassin Chandran
University of California, Santa Barbara
-
Moira Chas
Stony Brook University
-
Zichen Cui
Reed College
-
Charles Daly
University of Maryland
-
Ajeet Gary
University of Maryland
-
Jonah Gaster
McGill University
-
William Goldman
University of Maryland
-
Isnayni Hadi
California State University, Northridge
-
Paige Helms
University of California Riverside
-
Ian Hill
James Madison University
-
Jae Young Kim
Brown University
-
Max Lahn
Brown University
-
Jonghyun Lee
Brown University
-
Miguel Lopez
Boston University
-
Marissa Loving
University of Illinois at Urbana- Champaign
-
Aisha Mechery
Bryn Mawr College
-
William Menasco
University at Buffalo
-
Simran Nayak
Brown University
-
John Oakley
Concordia University Texas
-
Emily Rexer
Emory University
-
Zoe Riell
Smith College
-
Jenny Rustad
University of Maryland
-
Roberta Shapiro
Rutgers University
-
Brandis Whitfield
Brandeis Universiy
-
Yang Xiao
Brown University
-
Alex Xu
University of California, Santa Barbara
Summer Schedule
Monday, June 11, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 8:15 - 9:00am EDT | Breakfast | 11th Floor Collaborative Space | |
| 9:00 - 10:00am EDT | Welcome/ Meet & Greet | 121 S Main St, 11th Floor Lecture Hall | |
| 10:00 - 12:00pm EDT | Scavenger Hunt | Brown University Campus | |
| 12:00 - 1:30pm EDT | Welcome Lunch | ||
| 1:30 - 2:00pm EDT | Human Interactions | 11th Floor Lecture Hall | |
| 2:00 - 3:30pm EDT | Moira Chas' Experiences - Stony Brook University | 11th Floor Lecture Hall | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 4:00 - 5:00pm EDT | Moira Chas' Experiences (Cont.) | 11th Floor Lecture Hall | |
| 6:30 - 8:30pm EDT | Dinner | Flatbread Company, 161 Cushing St, Providence, RI 02906, USA |
Tuesday, June 12, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 8:15 - 9:00am EDT | Breakfast | 11th Floor Collaborative Space | |
| 9:00 - 10:30am EDT | Surface geometry and topology- secretly covering spaces and fundamental groups - Tarik Aougab - Brown University & Jonah Gaster - University of Illinois | 11th Floor Lecture Hall | |
| 10:30 - 11:00am EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 11:00 - 12:00pm EDT | Surface geometry and topology- secretly covering spaces and fundamental groups (cont.) - Tarik Aougab - Brown University & Jonah Gaster - University of Illinois | 11th Floor Lecture Hall | |
| 12:00 - 2:00pm EDT | Lunch Break - On Brown's Campus | Verney Woolley | |
| 2:00 - 3:30pm EDT | Mobius transformations are generated by inversions & Inversions preserve distance - Jonah Gaster - University of Illinois | 11th Floor Lecture Hall | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 4:00 - 5:00pm EDT | Matrices + hyperbolic geometry - All Organizers | 11th Floor Lecture Hall | |
| 5:30 - 7:30pm EDT | Crochet Lessons & Pizza - Moira Chas - Stony Brook University | 11th Floor Collaborative Space |
Wednesday, June 13, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 8:15 - 9:00am EDT | Breakfast | 11th Floor Collaborative Space | |
| 9:00 - 10:30am EDT | Moira Chas | 11th Floor Lecture Hall | |
| 10:30 - 11:00am EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 11:00 - 12:00pm EDT | Moira Chas | 11th Floor Lecture Hall | |
| 12:00 - 1:30pm EDT | Lunch Break | ICERM | |
| 1:30 - 3:30pm EDT | Bill Goldman | 11th Floor Lecture Hall | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 4:00 - 5:00pm EDT | Bill Goldman | 11th Floor Lecture Hall | |
| 6:00 - 8:00pm EDT | Dinner | Trinity Brewhouse, 186 Fountain St, Providence, RI 02903, USA |
Thursday, June 14, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 9:00 - 10:30am EDT | Jonah Gaster | 11th Floor Lecture Hall | |
| 10:30 - 11:00am EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 11:00 - 12:00pm EDT | Jonah Gaster | 11th Floor Lecture Hall | |
| 12:00 - 1:30pm EDT | Lunch Break | ||
| 1:30 - 3:30pm EDT | Tarik Aougab | 11th Floor Lecture Hall | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 4:00 - 5:00pm EDT | Tarik Aougab | 11th Floor Lecture Hall |
Friday, June 15, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 9:00 - 10:30am EDT | Group Project Discussions | 11th Floor Lecture Hall | |
| 10:30 - 11:00am EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 11:00 - 12:00pm EDT | Group Project Discussions | 11th Floor Lecture Hall | |
| 12:00 - 1:30pm EDT | Lunch Break | ||
| 1:30 - 3:30pm EDT | Group Project Assignments | 11th Floor Lecture Hall | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 4:00 - 5:00pm EDT | Group Project Assignments | 11th Floor Lecture Hall |
Monday, June 18, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Coloring Problem for Curve and Arc Graphs - Group Meeting | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Symmetries of Curve Graph Variants - Group Meeting | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants - Group Meeting | 11th Floor Conference Room |
Tuesday, June 19, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Square Tilings | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Curves Intersecting Each Other Twice | 11th Floor Conference Room |
Wednesday, June 20, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Organizers Meeting | 11th floor Conference Room | |
| 1:30 - 3:30pm EDT | Group Activity | 10th Floor Collaborative Space |
Thursday, June 21, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants | 10th Floor Classroom | |
| 10:00 - 12:00pm EDT | Symmetries of Curve Graph Variants | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Coloring Problem for Curve and Arc Graphs | 10th Floor Classroom |
Friday, June 22, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Square Tilings | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Curves Intersecting Each Other Twice | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom |
Tuesday, June 26, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Square Tilings | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Curves Intersecting Each Other Twice | 10th floor collaborative space (near office 1001) | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Wednesday, June 27, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 8:45 - 10:45am EDT | Group Activity | 10th Floor Collaborative Space | |
| 10:00 - 12:00pm EDT | Organizers Meeting | 11th floor Conference Room | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 4:30 - 6:00pm EDT | Summer Student Theoretical Physics Research Session Visit | 10th Floor Collaborative Space |
Thursday, June 28, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Symmetries of Curve Graph Variants | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Coloring Problem for Curve and Arc Graphs | 10th Floor Classroom | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Friday, June 29, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Curves Intersecting Each Other Twice | 10th Floor Classroom | |
| 10:00 - 12:00pm EDT | Square Tilings | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Monday, July 2, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Coloring Problem for Curve and Arc Graphs - Group Meeting | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants - Group Meeting | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Symmetries of Curve Graph Variants - Group Meeting | 10th Floor Classroom | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Tuesday, July 3, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Curves Intersecting Each Other Twice | 10th floor collaborative space (near office 1001) | |
| 1:30 - 3:30pm EDT | Square Tilings | 10th Floor Classroom | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Thursday, July 5, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Symmetries of Curve Graph Variants | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Coloring Problem for Curve and Arc Graphs | 10th Floor Classroom | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Friday, July 6, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Square Tilings | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Monday, July 9, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Coloring Problem for Curve and Arc Graphs - Group Meeting | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants - Group Meeting | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Symmetries of Curve Graph Variants - Group Meeting | 10th Floor Classroom | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Tuesday, July 10, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 10:00 - 12:00pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Curves Intersecting Each Other Twice | 10th floor collaborative space (near office 1001) | |
| 1:30 - 3:30pm EDT | Square Tilings | 10th Floor Collaborative Space | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Wednesday, July 11, 2018
Thursday, July 12, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Symmetries of Curve Graph Variants | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Coloring Problem for Curve and Arc Graphs | 10th Floor Classroom | |
| 3:15 - 3:45pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 3:45 - 4:30pm EDT | Neutral Networks - Eli Grigsby, Boston College | 10th Floor Classroom |
Friday, July 13, 2018
Monday, July 16, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Coloring Problem for Curve and Arc Graphs - Group Meeting | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants - Group Meeting | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Symmetries of Curve Graph Variants - Group Meeting | 10th Floor Classroom | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Tuesday, July 17, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Curves Intersecting Each Other Twice | 10th floor collaborative space (near office 1001) | |
| 1:30 - 3:30pm EDT | Square Tilings | 10th Floor Collaborative Space | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Wednesday, July 18, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Organizers Meeting | 11th floor Conference Room | |
| 2:30 - 3:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 3:00 - 3:45pm EDT | Graduate School Experience - Marissa Loving- University of Illinois at Urbana- Champaign | 11th Floor Lecture Hall | |
| 4:00 - 5:00pm EDT | Grad School Panel - Marissa Loving - University of Illinois at Urbana- Champaign; Sunny Xiao- Brown University; Jenny Rustad- University of Maryland; and Charles Daly, University of Maryland | 11th Floor Lecture Hall | |
| 6:00 - 8:00pm EDT | Night of Games and Knitting | 11th Floor Collaborative Space |
Thursday, July 19, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Symmetries of Curve Graph Variants | 10th Floor Classroom | |
| 10:00 - 12:00pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Coloring Problem for Curve and Arc Graphs | 10th Floor Classroom | |
| 3:15 - 3:45pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 3:45 - 4:45pm EDT | Gauss Bonnet Theorem - Charles Daly, University of Maryland | 11th Floor Lecture Hall |
Friday, July 20, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Square Tilings | 11th Floor Conference Room | |
| 1:30 - 3:30pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 3:30 - 3:45pm EDT | Group Photo | 11th Floor Collaborative Space | |
| 3:45 - 4:30pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Monday, July 23, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Coloring Problem for Curve and Arc Graphs - Group Meeting | 10th Floor Classroom | |
| 1:30 - 3:00pm EDT | Symmetries of Curve Graph Variants - Group Meeting | 10th Floor Classroom | |
| 1:30 - 3:00pm EDT | Hausdorff Dimension and Hyperbolic Pair of Pants - Group Meeting | 11th Floor Conference Room | |
| 3:00 - 3:30pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 3:30 - 4:30pm EDT | Total positivity and ping-pong in projective space - Jean-Philippe Burelle - IHES | 10th Floor Collaborative Space |
Tuesday, July 24, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 10:00 - 12:00pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Square Tilings - Bill Menasco- University of Buffalo | 10th Floor Collaborative Space | |
| 1:30 - 3:30pm EDT | Curves Intersecting Each Other Twice | 10th floor collaborative space (near office 1001) | |
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Wednesday, July 25, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 11:00 - 12:00pm EDT | TBD - Moon Duchin - Tufts University | 10th Floor Collaborative Space | |
| 2:00 - 4:00pm EDT | Organizers Meeting | 11th floor Conference Room | |
| 3:00 - 3:30pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Thursday, July 26, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 11:00am EDT | Hausdorff Dimension and Hyperbolic Pair of Pants | 11th Floor Conference Room | |
| 10:00 - 11:00am EDT | Symmetries of Curve Graph Variants | 10th Floor Classroom | |
| 1:30 - 3:30pm EDT | Coloring Problem for Curve and Arc Graphs | 10th Floor Classroom | |
| 3:00 - 3:30pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 3:30 - 4:30pm EDT | Brown University's Mathematics Graduate Program Info Session - Tom Goodwillie- Brown University | 10th Floor Collaborative Space |
Friday, July 27, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 12:00pm EDT | Square Tilings | 10th Floor Classroom | |
| 1:30 - 2:30pm EDT | Navigating the Space of SL_2(C) Characters | 10th Floor Classroom | |
| 1:30 - 2:30pm EDT | Self-intersection Number of Geodesics | 11th Floor Conference Room | |
| 2:30 - 3:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 3:00 - 4:00pm EDT | Women in Math - Moira Chas - Stony Brook University | 10th Floor Collaborative Space | |
| 4:00 - 5:00pm EDT | Diversity and Inclusion in grad school/mathematics - Marissa Loving, University of Illinois at Urbana- Champaign; Sunny Xiao, Brown University; Tarik Aougab- Brown University | 10th Floor Collaborate Space |
Monday, July 30, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 3:15 - 3:45pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 3:45 - 4:15pm EDT | Incompressible Surfaces in 4-Punctured Sphere Bundles - Sunny Xiao, Brown University | 11th Floor Lecture Hall | |
| 4:15 - 4:45pm EDT | Least Dilatation of Pure Surface Braids - Marissa Loving, University of Illinois at Urbana- Champaign | 11th Floor Lecture Hall |
Tuesday, July 31, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 3:30 - 4:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Wednesday, August 1, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:30 - 10:45am EDT | Group Photo | 11th Floor Collaborative Space | |
| 11:00 - 11:45am EDT | Group 7: Visualizing Cubic Moduli Spaces | 11th Floor Lecture Hall | |
| 2:00 - 2:45pm EDT | Group 2: Hausdorff Dimension of the Limit Set of Hyperbolic Pair of Pants | 11th Floor Lecture Hall | |
| 3:00 - 3:45pm EDT | Group 1: Length and Self-intersection Number of Geodesics in Hyperbolic Surfaces | 11th Floor Lecture Hall | |
| 3:45 - 4:15pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space | |
| 4:30 - 5:30pm EDT | Diversity and Inclusion in grad school/mathematics continued - Marissa Loving, University of Illinois at Urbana- Champaign; Sunny Xiao, Brown University; Tarik Aougab- Brown University | 10th Floor Collaborate Space |
Thursday, August 2, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 10:00 - 10:45am EDT | Group 3: Automorphism Group of the k-Curve Graph | 11th Floor Lecture Hall | |
| 11:00 - 11:45am EDT | Group 4: Minimally Intersecting Filling Pair Origamis | 11th Floor Lecture Hall | |
| 2:00 - 2:45pm EDT | Group 5: Super Farey Graphs | 11th Floor Lecture Hall | |
| 3:00 - 3:45pm EDT | Group 6: Complete Algebraic Two-Systems on the Surface of Genus 2 | 11th Floor Lecture Hall | |
| 3:45 - 4:15pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Friday, August 3, 2018
| Time | Event | Location | Materials |
|---|---|---|---|
| 1:30 - 2:00pm EDT | Coffee/ Tea Break | 11th Floor Collaborative Space |
Final Projects
- Final Student Presentations
-
- "Length and Self-intersection Number of Geodesics in Hyperbolic Surfaces" by I. Hadi, B. Whitfield, and A. Xu
- "Hausdorff Dimension of the Limit Set of Hyperbolic Pair of Pants" by F. Castaneda and I. Hill
- "Automorphism Group of the k-Curve Graph" by Y. Chandran, R. Oakley, and R. Shapiro
- "Minimally Intersecting Filling Pair Origamis" by Z. Cui, A. Gary, P. Helms, and T. Kim
- "Super Farey Graphs" by M. Lopez, E. Rexer, and Z. Riell
- "Complete Algebraic Two-Systems on the Surface of Genus 2" by M. Lahn, A. Mechery, and S. Nayak
- "Visualizing Cubic Moduli Spaces" by A. Gary and J. Lee
- Posters Presented at JMM 2019 in Baltimore, MD
-
- Automorphisms of the k-curve graph* (Yassin Chandran, Roberta Shapiro, and Rob Oakley)
- The Hausdorff Dimension of the Limit Set of a Pair of Pants (Ian Hill and Francisco Castaneda)
- Combinatorics of k-Farey Graphs* (Miguel Lopez)
- SL(2;Z) Action on Quadratic Differentials (Paige Helms)
- Algebraic k-Systems of Curves* (Maxie Lahn and Aisha Mechery)
- Monotonicity of Length of Closed Geodesics Given Self-Intersection Number (Isnayni Hadi, Brandis Whitfield and Alex Xu)
- Papers
-
- C. Daly, J. Gaster, M. Lahn, A. Mechery, and S. Nayah. Algebraic k-systems of curves. Geometriae Dedicata, March 2020.
- J. Gaster, M. Lopez, E. Rexer, Z. Riell, and Y. Xiao. Combinatorics of k-Farey graphs. Rocky Mountain Journal of Mathematics, April 2020. arxiv: 1810.09011
- Y. Chandran, R. Oakley, and R. Shapiro. Automorphisms of the k-curve graph. Accepted by the Michigan Journal of Mathematics. arxiv: 1912.07666
Publications
- Charles Daly, Jonah Gaster, Max Lahn, Aisha Mechery, Simran Nayak, Algebraic k-systems of curves, arXiv:1911.08469, 2020.
- Jonah Gaster, Miguel Lopez, Emily Rexer, Zoë Riell, Yang Xiao, Combinatorics of \textdollark\textdollar-Farey graphs, Rocky Mountain Journal of Mathematics 50 (2020) no. 1.
- Shuchi Agrawal, Tarik Aougab, Yassin Chandran, Marissa Loving, J. Robert Oakley, Roberta Shapiro, Yang Xiao, Automorphisms of the k-curve graph, arXiv:1912.07666, 2023.
