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ICERM
121 South Main Street, Box E
11th Floor
Providence, RI 02903
info@icerm.brown.edu
+1 (401) 863-5030
Computations on K3 Surfaces and Related Varieties
Sep 9 - Dec 11, 2026
Apply with Cube
Organizing Committee
Jen
Berg
Bucknell University
Paola
Comparin
UFRO Universidad de La Frontera
Kristin
DeVleming
University of California San Diego
Dino
Festi
Università degli Studi di Napoli 'Federico II'
Kiran
Kedlaya
University of California San Diego
Adam
Logan
Carleton University
Cecília
Salgado
Rijksuniversiteit Groningen
Alessandra
Sarti
Université de Poitiers
Anthony
Várilly-Alvarado
Rice University
Abstract
The rapid development of computer algebra in recent years has contributed to great progress in algebraic and arithmetic geometry, both practical and theoretical. For every curve over a number field, there is a finite description of the set of rational points. Recent algorithmic advances have made it possible to give such a description explicitly in many cases that were previously out of reach.
The case of surfaces over number fields is more difficult, and the arithmetic of most surfaces (those of general type) is beyond the reach of current mathematics. K3 surfaces occupy an intermediate position where the geometric structure is sufficiently accessible to allow progress to be made, but a full description of the set of rational points is impossible. They are also important examples in complex algebraic geometry and play an important role in mathematical physics, particularly in string theory and conformal field theory. Results on K3 surfaces also inspire work on Calabi-Yau and other varieties of higher dimension, whose geometry is much less well understood. Thus, this program will focus on the arithmetic of K3 surfaces, though not to the exclusion of other related surfaces and varieties of higher dimension.
The main areas of interest of the program are the Brauer-Manin obstruction; analogies with higher-dimensional varieties, in particular Calabi-Yau varieties and cubic fourfolds; mathematical problems arising from string theory; computation and study of moduli spaces of families of K3 surfaces and their compactifications; the Batyrev-Manin conjecture and other approaches to estimating the growth of rational points; and holomorphic symplectic manifolds. The determination of the elliptic fibrations on a K3 surface underlies most of these. Although much is known about this problem, there is still much to be done.
The program will unite researchers from algebraic and complex geometry, arithmetic geometry, Hodge theory, and mathematical physics. It will bring theoretically and computationally-oriented researchers together, expecting that computations will illuminate conjectures made by the theorists and that theory will enlarge the range of what can be computed. We also intend to develop databases of certain types of K3 surfaces for the L-Functions and Modular Forms Database and to promote the development of software for computations on K3 surfaces in Magma, SageMath, or other systems for public release.
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Application Information
ICERM welcomes applications from faculty, postdocs, graduate students, industry scientists, and other researchers who wish to participate. Some funding may be available for travel and lodging. Graduate students who apply must have their advisor submit a statement of support in order to be considered.
In addition, graduate students will only be considered if they can remain in-residence for a minimum of six weeks.
ICERM Funding for Fellowships
ICERM has funding available for fellowships to support faculty who attend one of our
semester programs. These are often used to cover teaching buyouts so that participants
can be in residence throughout a semester program. We welcome requests from those not
based at R1 research universities and those based at minority-serving institutions,
including HBCUs, HSIs, TCUs, and AAPIs. The standard amount for a full semester is
$30,000.
Email ICERM’s Director
for more information.
Apply with Cube
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.
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. See our
travel page
for full directions.
Lodging/Housing
Visiting ICERM for longer than a week? ICERM staff helps participants locate suitable accommodations. Contact
housing@icerm.brown.edu
for details.
Childcare/Schools
Those traveling with family can contact
housing@icerm.brown.edu
for childcare and school information.
Technology Resources
Wireless internet access and wireless printing are available for all ICERM visitors. Eduroam is supported. Thin clients provide access to web browsers, SSH terminals, and printing. See our
Technology Resources
page for setup info.
For special services, accommodations, or assistance, please contact
accessibility@icerm.brown.edu
in advance. Thank you.
Discrimination and Harassment Policy
ICERM is committed to a safe, professional, and welcoming environment. Brown University's
Code of Conduct
and related
policies
apply to all ICERM participants. Contact
the ICERM Director
or
Associate Director Jenna Sousa
for concerns.
Fundamental Research
ICERM programs promote
Fundamental Research
and mathematical education. Participants involved in sensitive or proprietary work should be aware of U.S.
export control
restrictions.
Exploring Providence
Providence offers world-class dining and attractions. Visit 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 a 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
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.
Associated Semester Workshops
Arithmetic, Geometry and Computations on K3 surfaces
Sep 14 - 18, 2026
Semester Program Workshop
Mirror Symmetry, Calabi-Yau Threefolds, and Connections to Physics
Sep 28 - Oct 2, 2026
Semester Program Workshop
Cubic Fourfolds, Gushel-Mukai Fourfolds, and Hyperkahler Manifolds
Oct 26 - 30, 2026
Semester Program Workshop
Moduli of K3 surfaces
Nov 9 - 13, 2026
Semester Program Workshop
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
Speaker
Virtual Speaker
Poster Presenter
Attendee
Virtual Attendee
Elise Alvarez-Salazar
University of California, San Diego
Sep 8 - Dec 12, 2026
Carolina
Araujo
IMPA
Sep 13 - 26, 2026
Ander Arriola Corpion
University of Groningen
Sep 8 - Dec 12, 2026
Michela
Artebani
Universidad de Concepción
Sep 13 - 19, 2026
Asher
Auel
Dartmouth College
Sep 14 - Nov 14, 2026
Francesca
Balestrieri
The American University of Paris
Sep 9 - Dec 11, 2026; Sep 14 - 18, 2026
Jen
Berg
Bucknell University
Sep 5 - Dec 12, 2026
Samuel
Boissière
Université de Poitiers
Sep 9 - Dec 11, 2026
Matthew
Broe
Boston University
Sep 8 - Dec 12, 2026
Riley Burton
University of Massachusetts, Amherst
Sep 8 - Dec 12, 2026
Chiara
Camere
University of Milano
Sep 13 - Nov 26, 2026
Adrian
Clingher
University of Missouri, St. Louis
Sep 14 - Nov 13, 2026
Paola
Comparin
UFRO Universidad de La Frontera
Sep 10 - Dec 12, 2026
Edgar
Costa
MIT
Sep 9 - Dec 11, 2026
Kristin
DeVleming
University of California San Diego
Sep 8 - Dec 12, 2026
Charles
Doran
University of Alberta
Sep 9 - Dec 11, 2026; Sep 28 - Oct 2, 2026
Noam
Elkies
Harvard University
Sep 9 - Dec 11, 2026
Philip Engel
University of Illinois, Chicago
Sep 9 - Dec 11, 2026
Maria Eduarda Fernandes
Institute for Pure and Applied Mathematics (IMPA)
Sep 13 - Oct 24, 2026
Dino
Festi
Università degli Studi di Napoli 'Federico II'
Sep 8 - Dec 12, 2026
Sarah
Frei
Rice University
Oct 4 - 31, 2026
Jack Garzella
University of California, San Diego
Sep 5 - Dec 14, 2026; Oct 19 - 23, 2026
Alvaro
Gonzalez Hernandez
University of Warwick
Sep 1 - May 31, 2027
Richard
Haburcak
The Ohio State University
Sep 8 - Dec 12, 2026
Brendan
Hassett
ICERM/Brown University
Sep 9 - Dec 11, 2026; Sep 14 - 18, 2026; Nov 9 - 13, 2026
Klaus
Hulek
Leibniz-University Hannover
Oct 11 - Nov 14, 2026
Inder
Kaur
University of Glasgow
Sep 10 - Dec 5, 2026
Kiran
Kedlaya
University of California San Diego
Sep 8 - Nov 21, 2026; Oct 19 - 23, 2026
Kyu-Hwan
Lee
University of Connecticut
Sep 8 - Dec 12, 2026
Yongnam Lee
Institute for Basic Science-Center for Complex Geometry
Oct 26 - Nov 14, 2026
Lucas Li Bassi
ICERM
Sep 1 - Jan 15, 2027
Max Lieblich
University of Washington
Sep 9 - Dec 11, 2026
Shengxuan Liu
University of Michigan
Sep 9 - Dec 11, 2026
Yuhan Liu
Brown University
Sep 9 - Dec 11, 2026
Adam
Logan
Carleton University
Sep 1 - Dec 31, 2026
Andreas Malmendier
Utah State University
Sep 8 - Nov 20, 2026
Eyal Markman
University of Massachusetts Amherst
Sep 8 - Dec 12, 2026
Ana Victoria Martins Quedo
Università di Bologna
Sep 10 - Oct 3, 2026
Lily McBeath
Dartmouth College
Sep 8 - Nov 21, 2026
Giorgio
Navone
University College London
Sep 8 - Dec 12, 2026
Haoming
Ning
University of Washington, Seattle
Oct 25 - Nov 14, 2026
Margherita Pagano
Imperial College London
Sep 1 - Jan 15, 2027
Gavin Pettigrew
University of California San Diego
Sep 8 - Dec 12, 2026
Nathan Priddis
Brigham Young University
Sep 9 - Dec 11, 2026
Giulia Saccà
Columbia University
Sep 9 - Dec 11, 2026; Oct 26 - 30, 2026
Cecília
Salgado
Rijksuniversiteit Groningen
Sep 8 - Dec 1, 2026
Elena Sammarco
Roma Tre University
Sep 1 - Jan 15, 2027
Katerina
Santicola
King's College London
Sep 8 - Dec 12, 2026
Alessandra
Sarti
Université de Poitiers
Sep 9 - Dec 11, 2026
Elisa Scattone
University of Roma Tor Vergata
Oct 1 - Nov 15, 2026
Joseph
Silverman
Brown University
Sep 9 - Dec 11, 2026
Hao Sun
Brown University
Sep 9 - Dec 11, 2026
Andrew
Sutherland
MIT
Sep 9 - Dec 11, 2026
Yuri
Tschinkel
New York University
Oct 26 - 30, 2026
Anthony
Várilly-Alvarado
Rice University
Sep 9 - Dec 11, 2026; Oct 26 - 30, 2026
Raluca
Vlad
Brown University
Sep 9 - Dec 11, 2026
Isabel
Vogt
Brown University
Sep 9 - Dec 11, 2026; Sep 14 - 18, 2026
Brooke Wei
University of California at Irvine
Sep 8 - Dec 12, 2026
Mckenzie West
Center for Communicative Research, La Jolla
Sep 13 - 19, 2026
Ursula
Whitcher
Mathematical Reviews (American Mathematical Society)
Sep 8 - Dec 12, 2026
Yuxuan
YANG
Shanghai Center for Mathematical Sciences
Sep 8 - Dec 12, 2026
Huishi
Yu
Peking University
Sep 8 - Dec 12, 2026
Aline
Zanardini
EPFL
Sep 8 - 26, 2026
Yilong
Zhang
Uiversity of Georgia
Sep 8 - Dec 12, 2026
Eric
Zhu
Brown University
Sep 1 - Dec 20, 2026
Alice
Garbagnati
Università Statale di Milano
Sep 14 - 18, 2026
Lara
Anderson
Virginia Polytechnic Institute and State University
Sep 28 - Oct 2, 2026
Per Berglund
University of New Hampshire
Sep 28 - Oct 2, 2026
Mirjam Cvetic
University of Pennsylvania
Sep 28 - Oct 2, 2026
Thais
Gomes Ribeiro
University of Birmingham
Sep 28 - Oct 2, 2026
Antonella
Grassi
University of Pennsylvania and Università di Bologna
Sep 28 - Oct 2, 2026
Giulia Gugiatti
University of Edinburgh
Sep 28 - Oct 2, 2026
Zengrui
Han
University of Maryland, College Park
Sep 27 - Oct 2, 2026; Oct 25 - 30, 2026
Andrew
Harder
Lehigh University
Sep 28 - Oct 2, 2026
Sarah Harrison
Northeastern University
Sep 28 - Oct 2, 2026
Jonathan
Heckman
University of Pennsylvania
Sep 28 - Oct 2, 2026
Maximilian Hofmann
Stony Brook University
Sep 28 - Oct 2, 2026; Nov 9 - 13, 2026
Tristan
Hubsch
Howard University
Sep 28 - Oct 2, 2026
Tyler Kelly
Queen Mary University of London
Sep 28 - Oct 2, 2026
Magdalena Larfors
Uppsala University
Sep 28 - Oct 2, 2026
David Morrison
University of California, Santa Barbara
Sep 28 - Oct 2, 2026
Natalie Paquette
University of Washington
Sep 28 - Oct 2, 2026
Fabian Ruehle
Northeastern University
Sep 28 - Oct 2, 2026
Adriana
Salerno
National Science Foundation
Sep 28 - Oct 2, 2026
Rak-Kyeong
Seong
Ulsan National Institute of Science and Technology
Sep 27 - Oct 3, 2026
Yu Shen
Michigan State University
Sep 28 - Oct 2, 2026; Oct 26 - 30, 2026
Sumit Singh
Rutgers University
Sep 27 - Oct 2, 2026; Oct 25 - 30, 2026; Nov 8 - 13, 2026
Benjamin
Sung
University of Southern Denmark
Sep 28 - Oct 2, 2026
Taizan Watari
University of Tokyo
Sep 28 - Oct 2, 2026
Katrin Wendland
Trinity College Dublin
Sep 28 - Oct 2, 2026
Scott
Wilson
Queens College and City University of New York
Sep 28 - Oct 2, 2026
Nicolas
Addington
University of Oregon
Oct 26 - 30, 2026
Ekaterina
Amerik
Universite de Paris XI (Paris-Sud)
Oct 26 - 30, 2026
Daniel Bragg
University of Utah
Sep 9 - Dec 11, 2026; Oct 26 - 30, 2026
Corey Brooke
Carleton College
Oct 26 - 30, 2026
Shiva
Chidambaram
University of Wisconsin-Madison
Oct 25 - 30, 2026; Nov 9 - 13, 2026
Laure Flapan
Michigan State University
Oct 26 - 30, 2026
Josiah Foster
University of Oregon
Oct 26 - 30, 2026
Federica Galluzzi
University of Turin
Oct 26 - 30, 2026
Annalisa
Grossi
Université Côte d'Azur
Oct 26 - 30, 2026
Ljudmila Kamenova
Stony Brook University
Oct 26 - 30, 2026
Yoon-Joo Kim
Colombia University
Oct 26 - 30, 2026
Radu Laza
Stony Brook University
Oct 26 - 30, 2026
Lisa
Marquand
Courant Institute of Mathematical Sciences, New York University
Oct 26 - 30, 2026
Laura
Pertusi
Università degli Studi di Milano
Oct 26 - 30, 2026
Jack
Petok
Colby College
Sep 9 - Dec 11, 2026; Oct 26 - 30, 2026
Alena
Pirutka
NYU
Oct 26 - 30, 2026
Justin
Sawon
University of North Carolina - Chapel Hill
Oct 26 - 30, 2026
Xiaolei Zhao
UC Santa Barbara
Oct 26 - 30, 2026
Valery Alexeev
University of Georgia
Sep 9 - Dec 11, 2026; Nov 9 - 13, 2026
Kenneth
Ascher
UC Irvine
Nov 9 - 13, 2026
Benjamin Bakker
University of Illinois at Chicago
Nov 9 - 13, 2026
Arend
Bayer
University of Edinburg
Nov 9 - 13, 2026
Dori
Bejleri
University of Maryland
Nov 9 - 13, 2026
Alessio Bottini
Max Planck Institute for Mathematics in Bonn
Nov 9 - 13, 2026
Simon
Brandhorst
Leibniz University Hannover
Nov 9 - 13, 2026
Nathan
Chen
Harvard University
Nov 9 - 13, 2026
Stefano Filipazzi
Duke University
Nov 9 - 13, 2026
Robert
Friedman
Columbia University
Nov 9 - 13, 2026
Frank Gounelas
University of Bonn
Nov 9 - 13, 2026
Francois Greer
Michigan State University
Nov 9 - 13, 2026
Samuel
Grushevsky
Stony Brook University
Nov 9 - 13, 2026
Paul
Hacking
University of Massachusetts Amherst
Nov 9 - 13, 2026
Giovanni
Inchiostro
University of Washington
Nov 9 - 13, 2026
Jennifer
Li
Princeton University
Sep 9 - Dec 11, 2026; Nov 9 - 13, 2026
Yuchen
Liu
Northwestern University
Nov 9 - 13, 2026
Giovanni Mongardi
University of Bologna
Nov 9 - 13, 2026
Shigeru Mukai
Kyoto University
Nov 9 - 13, 2026
Luca
Schaffler
Roma Tre University
Nov 9 - 13, 2026
Salim
Tayou
Harvard University
Nov 9 - 13, 2026
Alan
Thompson
Loughborough University
Nov 9 - 13, 2026
Junyan Zhao
University of Maryland College Park
Sep 9 - Dec 11, 2026; Nov 9 - 13, 2026