Organizing Committee
Abstract

Braid groups were introduced by Emil Artin almost a century ago. Since then, braid groups, mapping class groups, and their generalizations have come to occupy a significant place in parts of both pure and applied mathematics. In the last 15 years, fields with an interest in braids have independently undergone rapid development; these fields include representation theory, low-dimensional topology, complex and symplectic geometry, and geometric group theory. Braid and mapping class groups are prominent players in current mathematics not only because these groups are rich objects of study in their own right, but also because they provide organizing structures for a variety of different areas. For example, in modern representation theory, important equivalences of categories are organized into 2-representations of braid groups, and these same 2-representations appear prominently in parts of geometry and mathematical physics concerned with mirror dualities; in low-dimensional topology, manifolds are presented and related to each other via braids and mapping classes.

Computational applications and questions about braid groups have also emerged in disparate mathematical contexts; in some cases, these coalesce around the same computational problem. For example, developing fast machine-based calculations of link homology invariants is a goal shared by representation theorists, low-dimensional topologists, symplectic and algebraic geometers, and string theorists. The proposed semester program aims to bring together researchers working in diverse areas through the common thread of their interaction with braid and mapping class groups. The overarching goals of the program are to establish and clarify the key questions driving each field, and to improve each group’s understanding of the tools, techniques, and perspectives of the others.

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Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee
  • Antonio Alfieri
    University of British Columbia
    Feb 1-May 31, 2022
  • John Baldwin
    Boston College
    Jan 31-May 6, 2022
  • Asilata Bapat
    The Australian National University
    Jan 31-May 6, 2022
  • Inanc Baykur
    University of Massachusetts Amherst
    Mar 13-26, 2022; Apr 24-30, 2022
  • Anna Beliakova
    Universität Zürich
    Feb 8-18, 2022
  • Paolo Bellingeri
    University of Caen Normandy
    Apr 24-30, 2022
  • Rachael Boyd
    University of Cambridge
    Mar 19-May 1, 2022
  • Jack Brand
    ANU
    Mar 19-Apr 30, 2022
  • Tara Brendle
    University of Glasgow
    Feb 14-Apr 15, 2022
  • Orsola Capovilla-Searle
    University of California, Davis
    Mar 14-May 6, 2022
  • Roger Casals
    University of California Davis
    Feb 1-May 6, 2022
  • Ruth Charney
    Brandeis University
    Jan 31-May 6, 2022
  • Rima Chatterjee
    University of Cologne
    Jan 31-May 1, 2022
  • Lei Chen
    University of Maryland, College Park
    Jan 24-May 10, 2022
  • Marc Culler
    University of Illinois at Chicago
    Jan 31-May 6, 2022
  • María Cumplido Cabello
    University of Seville
    Feb 3-Apr 28, 2022
  • Celeste Damiani
    Queen Mary University of London
    Apr 25-29, 2022
  • Anand Deopurkar
    Australian National University
    Jan 30-May 8, 2022
  • Brandy Doleshal
    Sam Houston State University
    Apr 24-30, 2022
  • Ivan Dynnikov
    Moscow State University
    Apr 24-30, 2022
  • Ben Elias
    University of Oregon
    Feb 13-19, 2022; Mar 22-26, 2022
  • Jordan Ellenberg
    University of Wisconsin
    Mar 21-25, 2022
  • John Etnyre
    Georgia Institute of Technology
    Apr 18-30, 2022
  • Benson Farb
    University of Chicago
    Mar 20-26, 2022
  • Peter Feller
    ETH Zurich
    Feb 1-18, 2022; Apr 18-29, 2022
  • Louise Gassot
    Laboratoire de Mathématiques d'Orsay - Université Paris-Saclay
    Feb 1-May 6, 2022
  • Thomas Gobet
    Université de Tours
    Feb 5-25, 2022
  • Marco Golla
    Laboratoire des mathématiques Jean Leray
    Mar 20-Apr 30, 2022
  • Nicolle Gonzalez
    UCLA
    Feb 13-19, 2022
  • Juan González-Meneses
    Universidad de Sevilla
    Feb 3-Apr 30, 2022
  • Eugene Gorsky
    UC Davis
    Feb 14-18, 2022
  • Julia Grigsby
    Boston College
    Apr 24-30, 2022
  • Fabian Haiden
    University of Oxford
    Apr 25-29, 2022
  • Kyle Hayden
    Columbia University
    Mar 20-26, 2022; Apr 24-30, 2022
  • Matthew Hedden
    Michigan State University
    Jan 31-Feb 25, 2022; Apr 6-May 6, 2022
  • Edmund Heng
    The Australian National University
    Feb 1-May 6, 2022
  • Matt Hogancamp
    Northeastern University
    Feb 1-May 6, 2022
  • Diana Hubbard
    Brooklyn College
    Apr 25-29, 2022
  • Mark Hughes
    Brigham Young University
    Apr 24-30, 2022
  • Tetsuya Ito
    Kyoto University
    Apr 24-30, 2022
  • Jonathan Johnson
    Oklahoma State University
    Jan 31-May 7, 2022
  • Keiko Kawamuro
    University of Iowa
    Apr 11-30, 2022
  • Ailsa Keating
    University of Cambridge
    Mar 21-25, 2022
  • Marc Kegel
    Humboldt-Universität zu Berlin
    Feb 12-May 1, 2022
  • Willi Kepplinger
    University of Vienna
    Jan 31-May 7, 2022
  • Sudipta Kolay
    ICERM
    Sep 1, 2021-May 31, 2022
  • Siddhi Krishna
    Columbia University
    Jan 31-May 6, 2022
  • Miriam Kuzbary
    Georgia Institute of Technology
    Jan 31-May 6, 2022
  • Peter Lambert-Cole
    Louisiana State University
    Mar 20-26, 2022
  • Aaron Lauda
    University of Southern California
    Feb 13-19, 2022
  • Anatoly Libgober
    University of Illinois at Chicago
    Feb 13-26, 2022; Mar 13-26, 2022
  • Joan Licata
    Australian National University
    Jan 31-May 7, 2022
  • Anthony Licata
    Australian National University
    Jan 31-May 7, 2022
  • Michael Lönne
    University Bayreuth
    Mar 20-26, 2022
  • Eduard Looijenga
    Mathematisch Instituut Universiteit Utrecht
    Mar 21-25, 2022
  • Dan Margalit
    Georgia Institute of Technology
    Mar 21-25, 2022
  • Jon McCammond
    UC Santa Barbara
    Feb 6-26, 2022
  • Maggie Miller
    Stanford University
    Apr 24-30, 2022
  • Rose Morris-Wright
    UCLA
    Mar 21-25, 2022
  • Lenny Ng
    Duke University
    Apr 24-30, 2022
  • Kie Seng Nge
    Australia National University
    Feb 14-18, 2022; Mar 21-25, 2022; Apr 25-29, 2022
  • Alexei Oblomkov
    UMASS Amherst
    Feb 13-19, 2022
  • Sinem Onaran
    Hacettepe University
    Apr 24-30, 2022
  • Brendan Owens
    University of Glasgow
    Feb 14-Apr 15, 2022
  • Luis Paris
    University of Burgundy
    Feb 13-19, 2022
  • Ina Petkova
    Dartmouth College
    Feb 1-May 6, 2022
  • Olga Plamenevskaya
    Stony Brook University
    Mar 20-26, 2022
  • Jozef Przytycki
    George Washington University
    Feb 1-May 6, 2022
  • Hoel Queffelec
    CNRS
    Feb 13-19, 2022
  • Nick Salter
    University of Notre Dame
    Mar 20-26, 2022
  • Nancy Scherich
    University of Toronto
    Sep 1, 2021-May 31, 2022
  • Paul Seidel
    MIT
    Mar 20-26, 2022
  • Anastassiya Semenova
    ICERM, Brown University
    Sep 1, 2021-May 31, 2022
  • Marithania Silvero Casanova
    Universidad de Sevilla
    Feb 3-May 1, 2022
  • Jose Simental Rodriguez
    Max-Planck Institute for Mathematics
    Feb 13-19, 2022
  • Rahul Singh
    Virginia Polytechnic Institute and State University
    Feb 1-May 6, 2022
  • Steven Sivek
    Imperial College London
    Apr 24-30, 2022
  • Ivan Smith
    University of Cambridge
    Mar 20-26, 2022
  • Laura Starkston
    UC Davis
    Feb 1-May 6, 2022
  • Eric Stenhede
    University of Vienna
    Jan 31-May 7, 2022
  • Alexandru Suciu
    Northeastern University
    Mar 20-26, 2022
  • Joshua Sussan
    CUNY
    Feb 13-19, 2022
  • Bulent Tosun
    University of Alabama
    Apr 26-30, 2022
  • Lisa Traynor
    Bryn Mawr College
    Apr 24-30, 2022
  • Bena Tshishiku
    Brown University
    Jan 31-May 6, 2022
  • Hannah Turner
    Georgia Institute of Technology
    Feb 1-May 7, 2022
  • Jeremy Van Horn-Morris
    University of Arkansas
    Apr 24-30, 2022
  • Shea Vela-Vick
    Louisiana State University
    Apr 24-30, 2022
  • Yvon Verberne
    Georgia Institute of Technology
    Jan 31-May 7, 2022
  • Vera Vertesi
    University of Vienna
    Feb 14-May 6, 2022
  • Andy Wand
    University of Glasgow
    Apr 24-30, 2022
  • Morgan Weiler
    Rice University
    Apr 25-29, 2022
  • Michael Wemyss
    University of Glasgow
    Mar 20-26, 2022
  • Craig Westerland
    University of Minnesota
    Mar 20-26, 2022
  • Jennifer Wilson
    University of Michigan
    Feb 13-19, 2022
  • Becca Winarski
    College of the Holy Cross, MSRI
    Mar 20-26, 2022
  • Jesse Wolfson
    University of California, Irvine
    Mar 20-26, 2022
  • Biji Wong
    Max Planck Institute for Mathematics
    Jan 31-May 7, 2022
  • Angela Wu
    Louisiana State University
    Mar 14-May 6, 2022
  • Oded Yacobi
    University of Sydney
    Feb 13-19, 2022
  • Jiajun Yan
    University of Virginia
    Jan 31-May 6, 2022
  • Jiaqi Yang
    ICERM
    Sep 1, 2021-May 31, 2022

Visit dates listed on the participant list may be tentative and subject to change without notice.

Application Information

ICERM welcomes applications from faculty, postdocs, graduate students, industry scientists, and other researchers who wish to participate in one of our semester-long programs. Some funding may be available for travel and lodging. Applications will be accepted up until the start of the semester program and will be considered as long as funds and space are available.

Any graduate student who applies should have research interests that relate to the program topic; a statement of support from the advisor is required. In addition, graduate students will only be considered if they can remain in-residence for a minimum of six weeks.

Postdoctoral Fellowships

Interested in applying for a salaried postdoc position for this program? Applications are accepted via Mathjobs.org (search under “B” for Brown University/ICERM) between June and December in the year prior to the program’s start date.

Your Visit to ICERM

ICERM Facilities
ICERM is located on the 10th & 11th floors of 121 South Main Street in Providence, Rhode Island. ICERM's business hours are 8:30am - 5:00pm during this event. See our facilities page for more info about ICERM and Brown's available facilities.
Traveling to ICERM
ICERM is located at Brown University in Providence, Rhode Island. Providence's T.F. Green Airport (15 minutes south) and Boston's Logan Airport (1 hour north) are the closest airports. Providence is also on Amtrak's Northeast Corridor. In-depth directions and transportation information are available on our travel page.
Lodging/Housing
Visiting ICERM for longer than a week-long workshop? ICERM staff works with participants to locate accommodations that fit their needs. Since short-term furnished housing is in very high demand, take advantage of the housing options ICERM may recommend. Contact housing@icerm.brown.edu for more details.
Childcare/Schools
Those traveling with family who are interested in information about childcare and/or schools should contact housing@icerm.brown.edu.
Technology Resources
Wireless internet access and wireless printing is available for all ICERM visitors. Eduroam is available for members of participating institutions. Thin clients in all offices and common areas provide open access to a web browser, SSH terminal, and printing capability. See our Technology Resources page for setup instructions and to learn about all available technology.
Accessibility
To request special services, accommodations, or assistance for this event, please contact accessibility@icerm.brown.edu as far in advance of the event as possible. Thank you.
Discrimination and Harassment Policy
ICERM is committed to creating a safe, professional, and welcoming environment that benefits from the diversity and experiences of all its participants. Both the Brown University "Code of Conduct", "Discrimination and Workplace Harassment Policy", and "Title IX Policy" apply to all ICERM participants and staff. Participants with concerns or requests for assistance on a discrimination or harassment issue should contact the ICERM Director or Assistant Director of Finance & Administration; they are the responsible employees at ICERM under this policy.
Exploring Providence
Providence's world-renowned culinary scene provides ample options for lunch and dinner. Neighborhoods near campus, including College Hill Historic District, have many local attractions. Check out the map on our Explore Providence page to see what's near ICERM.

Visa Information

Contact visa@icerm.brown.edu for assistance.

Need a US Visa?
J-1 visa requested via ICERM staff
Eligible to be reimbursed
B-1 or Visa Waiver Business (WB) –if you already have either visa – contact ICERM staff for a visa specific invitation letter.
Ineligible to be reimbursed
B-2 or Visa Waiver Tourist (WT)
Already in the US?

F-1 and J-1 not sponsored by ICERM: obtain a letter approving reimbursement from the International Office of your home institution PRIOR to travel.

H-1B holders do not need letter of approval.

All other visas: alert ICERM staff immediately about your situation.

ICERM does not reimburse visa fees. This chart is to inform visitors whether the visa they enter the US on allows them to receive reimbursement for the items outlined in their invitation letter.

Financial Support

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 airlines
  • 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.)
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 pdf of Google Maps result
  • Keep all documentation until you receive your reimbursement!
Reimbursement Timing

6 - 8 weeks after all documentation is sent to ICERM. All reimbursement requests are reviewed by numerous central offices at Brown who may request additional documentation.

Reimbursement Deadline

Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. Submissions after thirty days will incur applicable taxes. No submissions are accepted more than six months after the program end.

Associated Semester Workshops

Braids in Symplectic and Algebraic Geometry
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Braids in Low-Dimensional Topology
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