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Organizing Committee
University of York
UC Berkeley
University of Connecticut
Universidad de Chile
Dartmouth College
University of Southern California
University of California, Davis
University of Cambridge
Worcester Polytechnic Institute
Harvard University
Abstract
Algebraic combinatorics can be thought of as “counting things” and representation theory can be thought of as the “study of symmetry.” The notions of counting and symmetry are all-pervasive in the natural sciences. Thus, the pure mathematical questions we consider often have ramifications across fields including physics, quantum theory, chemistry, cryptography.
The past decade has been one of the most exciting and fruitful times in the history of combinatorics and representation theory. One of the overarching themes in this story is the search for richer structures which secretly underpin the classical problems in the field — these might manifest themselves as algebraic or geometric structures, or even as diagrammatic categories.
The discovery of these richer structures has led to the recent rise and fall of some of the most famous conjectures in the history of combinatorics and representation theory: the Macdonald constant term conjectures, the shuffle conjecture, the Lusztig conjecture, the Kazhdan–Lusztig positivity conjecture. Further afield, Crane conjectured that categorification should provide the correct setting for a theory of quantum gravity.
This Semester Program is driven by the need to interweave machine learning, graphical computer software, and computability perspectives and techniques into the study of these diagrammatic, algebraic, and geometric structures.
The past decade has been one of the most exciting and fruitful times in the history of combinatorics and representation theory. One of the overarching themes in this story is the search for richer structures which secretly underpin the classical problems in the field — these might manifest themselves as algebraic or geometric structures, or even as diagrammatic categories.
The discovery of these richer structures has led to the recent rise and fall of some of the most famous conjectures in the history of combinatorics and representation theory: the Macdonald constant term conjectures, the shuffle conjecture, the Lusztig conjecture, the Kazhdan–Lusztig positivity conjecture. Further afield, Crane conjectured that categorification should provide the correct setting for a theory of quantum gravity.
This Semester Program is driven by the need to interweave machine learning, graphical computer software, and computability perspectives and techniques into the study of these diagrammatic, algebraic, and geometric structures.
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Semester Schedule
Wednesday, September 03, 2025
Categorification and Computation in Algebraic Combinatorics
9:00 AM - 4:00 PM EDT
Check In / Registration
Check In - 11th Floor Collaborative Space
3:00 - 3:30 PM EDT
Coffee Break
11th Floor Collaborative Space
Thursday, September 04, 2025
Categorification and Computation in Algebraic Combinatorics
9:30 - 10:00 AM EDT
ICERM Director and Organizer Welcome
Welcome - 11th Floor Lecture Hall
Chris Bowman, University of York
Nicolle Gonzalez, UC Berkeley
Brendan Hassett, ICERM/Brown University
Kyu-Hwan Lee, University of Connecticut
Nicolas Libedinsky, Universidad de Chile
Rosa Orellana, Dartmouth College
Greta Panova, University of Southern California
Anne Schilling, University of California, Davis
11:00 AM - 12:00 PM EDT
Director / Organizer Meeting
Meeting - 11th Floor Conference Room
12:00 - 1:00 PM EDT
Postdoc / Graduate Student Meeting with ICERM Director
Meeting - 11th Floor Lecture Hall
3:00 - 3:30 PM EDT
Coffee Break
11th Floor Collaborative Space
4:00 - 5:30 PM EDT
Welcome Reception
Reception - 11th Floor Collaborative Space
Friday, September 05, 2025
Categorification and Computation in Algebraic Combinatorics
10:00 - 10:10 AM EDT
Álvaro Gutiérrez Introduction
Other - 11th Floor Lecture Hall
Álvaro Gutiérrez, University of Bristol
10:10 - 10:20 AM EDT
John Lentfer Introduction
Other - 11th Floor Lecture Hall
John Lentfer, University of California, Berkeley
10:20 - 10:30 AM EDT
Samuel Armon Introduction
Other - 11th Floor Lecture Hall
Samuel Armon, University of Southern California
10:30 - 10:40 AM EDT
Aram Bingham Introduction
Other - 11th Floor Lecture Hall
Aram Bingham, Universidad de Chile
10:40 - 10:50 AM EDT
Sarah Brauner Introduction
Other - 11th Floor Lecture Hall
Sarah Brauner, Brown University
10:50 - 11:00 AM EDT
Patricia Commins
Other - 11th Floor Lecture Hall
Patricia Commins, University of Minnesota
11:00 - 11:10 AM EDT
Alice Dell'Arciprete Introduction
Other - 11th Floor Lecture Hall
Alice Dell’Arciprete, University of York
11:10 - 11:20 AM EDT
Matthieu Dolbeault Introduction
Other - 11th Floor Lecture Hall
Matthieu Dolbeault, RWTH Aachen
11:20 - 11:30 AM EDT
Jonathan Gruber Introduction
Other - 11th Floor Lecture Hall
Jonathan Gruber, FAU Erlangen-Nürnberg
11:30 - 11:40 AM EDT
George Seelinger Introduction
Other - 11th Floor Lecture Hall
George Seelinger, University of Michigan
11:40 - 11:50 AM EDT
Joseph Pappe Introduction
Other - 11th Floor Lecture Hall
Joseph Pappe, Colorado State University
2:00 - 2:10 PM EDT
Scott Neville Introduction
Other - 11th Floor Lecture Hall
Scott Neville, ICERM
2:10 - 2:20 PM EDT
Pablo Ocal Introduction
Other - 11th Floor Lecture Hall
Pablo Ocal, Okinawa Institute of Science and Technology
2:20 - 2:30 PM EDT
Jianping Pan Introduction
Other - 11th Floor Lecture Hall
Jianping Pan, Arizona State University
2:30 - 2:40 PM EDT
Chenchen Zhao Introduction
Other - 11th Floor Lecture Hall
Chenchen Zhao, University of California, Davis
2:40 - 2:50 PM EDT
Alexis Langlois-Rémillard Introduction
Other - 11th Floor Lecture Hall
Alexis Langlois-Rémillard, University of Bonn
2:50 - 3:00 PM EDT
Sylvester Zhang Introduction
Other - 11th Floor Lecture Hall
Sylvester Zhang, UCLA
3:00 - 3:30 PM EDT
Math Speed-Dating
Coffee Break - 11th Floor Collaborative Space
Request Reimbursement
This section is for general purposes only and does not indicate that all attendees receive funding. Please refer to your personalized invitation to review your offer.
- ORCID iD
- As this program is funded by the National Science Foundation (NSF), ICERM is required to collect your ORCID iD if you are receiving funding to attend this program. Be sure to add your ORCID iD to your Cube profile as soon as possible to avoid delaying your reimbursement.
- Acceptable Costs
- 1 roundtrip between your home institute and ICERM
- Flights on U.S. or E.U. airlines – economy class to either Providence airport (PVD) or Boston airport (BOS)
- Ground Transportation to and from airports and ICERM.
- Unacceptable Costs
- Flights on non-U.S. or non-E.U. airlines
- Flights on U.K. airlines
- Seats in economy plus, business class, or first class
- Change ticket fees of any kind
- Multi-use bus passes
- Meals or incidentals
- Advance Approval Required
- Personal car travel to ICERM from outside New England
- Multiple-destination plane ticket; does not include layovers to reach ICERM
- Arriving or departing from ICERM more than a day before or day after the program
- Multiple trips to ICERM
- Rental car to/from ICERM
- Flights on a Swiss, Japanese, or Australian airline
- Arriving or departing from airport other than PVD/BOS or home institution’s local airport
- 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
- Travel Maximum Contributions
- New England: $350
- Other contiguous US: $850
- Asia & Oceania: $2,000
- All other locations: $1,500
- Note these rates were updated in Spring 2023 and supersede any prior invitation rates.
- Reimbursement Requests
Request Reimbursement with Cube
Refer to the back of your ID badge for more information. Checklists are available at the front desk and in the Reimbursement section of Cube.
- Reimbursement Tips
- Scanned original receipts are required for all expenses
- Airfare receipt must show full itinerary and payment
- ICERM does not offer per diem or meal reimbursement
- Allowable mileage is reimbursed at prevailing IRS Business Rate and trip documented via Google Maps PDF
- Keep all documentation until you receive your reimbursement!
- Reimbursement Timing
6–8 weeks after all documentation is sent to ICERM. All reimbursements are reviewed by multiple Brown University offices.
- Reimbursement Deadline
Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. No submissions are accepted after six months.
