Organizing Committee

In this workshop, we will explore a number of themes in the arithmetic of abelian varieties of low dimension (typically dimension 2–4), with a focus on computational aspects. Topics will include the study of torsion points, Galois representations, endomorphism rings, Sato-Tate distributions, Mumford-Tate groups, complex and p-adic analytic aspects, L-functions, rational points, and so on. We also seek to classify and tabulate these objects, in particular to understand explicitly the underlying moduli spaces (with specified polarization, endomorphism, and torsion structure), and to find examples of abelian varieties exhibiting special behavior. Finally, we will pursue connections with related areas, including the theory of modular forms, related algebraic varieties (e.g., K3 surfaces), and special values of L-functions.

Our goal is for the workshop to bring together researchers working on abelian varieties in a number of facets to establish collaborations, develop algorithms, and stimulate further research.

This workshop is an activity of the Simons Collaboration 'Arithmetic Geometry, Number Theory, and Computation' and is supported by the Simons Foundation.

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee

Workshop Schedule

Monday, June 3, 2019
8:30 - 8:55Registration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:50Hearing algebraic curves and factoring polynomials - Felipe Voloch, University of Canterbury11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20Local-global principles for endomorphism rings of abelian varieties - Davide Lombardo, Università di Pisa11th Floor Lecture Hall
11:35 - 12:25Endomorphisms and decompositions of Jacobians - Jeroen Sijsling, Universität Ulm11th Floor Lecture Hall
12:35 - 2:30Break for Lunch / Free Time  
2:30 - 3:20Decomposing Jacobian Varieties - Jen Paulhus, Grinnell College11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:50Arithmetic of hyperelliptic curves over local fields - Celine Maistret, Boston University11th Floor Lecture Hall
5:00 - 6:30Welcome Reception11th Floor Collaborative Space 
Tuesday, June 4, 2019
9:00 - 9:50On uniformity conjectures for abelian varieties and K3 surfaces over number fields - Yuri Zarhin, Pennsylvania State University11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20Low degree points on curves - Isabel Vogt, Stanford University11th Floor Lecture Hall
11:35 - 12:25Abelian Divisibility Sequences - Joe Silverman, Brown University11th Floor Lecture Hall
12:35 - 2:30Break for Lunch / Free Time  
2:30 - 3:30Lightning Talks Session 111th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00Lightning Talks Session 211th Floor Lecture Hall 
Wednesday, June 5, 2019
9:00 - 9:50Prym varieties of genus four curves - Nils Bruin, Simon Fraser University11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20Sato-Tate groups of abelian threefolds - Francesc Fité, IAS11th Floor Lecture Hall
11:35 - 12:25Problem Session11th Floor Lecture Hall 
12:35 - 12:40Group Photo11th Floor Lecture Hall 
12:40 - 2:30Break for Lunch / Free Time  
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:50Free Time11th Floor Lecture Hall 
Thursday, June 6, 2019
9:00 - 9:50Counting isogenous principally-polarized abelian varieties over finite fields - Everett Howe, Center for Communications Research, La Jolla11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20Arithmetic of twists of supersingular abelian varieties - Valentijn Karemaker, University of Pennsylvania11th Floor Lecture Hall
11:35 - 12:25Newton Polygon Stratification of the Torelli Locus in PEL-type Shimura Varieties - Wanlin Li, University of Wisconsin-Madison11th Floor Lecture Hall
12:35 - 2:30Break for Lunch / Free Time  
2:30 - 3:20Using Abelian Varieties for Multiparty non-Interactive Key Exchange - Alice Silverberg, University of California, Irvine11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:50 Advances in Isogeny-based Cryptography - Benjamin Smith, Inria and École Polytechnique11th Floor Lecture Hall
Friday, June 7, 2019
9:00 - 9:50TBA - Rachel Pries, Colorado State University11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20Abelian varieties with everywhere good reduction over certain real quadratic fields of small discriminant - Lassina Dembele, Dartmouth College11th Floor Lecture Hall
11:35 - 12:25Exceptional Vinberg representations and moduli spaces - Eric Rains, California Institute of Technology11th Floor Lecture Hall
12:35 - 2:30Break for Lunch / Free Time  
2:30 - 3:20TBA - David Zywina, Cornell University11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 

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.

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 8:00am - 4:00pm 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.
ICERM's special rate will soon be made available via this page for our preferred hotel, the Hampton Inn & Suites Providence Downtown. ICERM also regularly works with the Graduate Hotel and Hilton Garden Inn who both have discounted rates available. Contact before booking anything.
The only way ICERM participants should book a room is through the hotel reservation links located on this page or through links emailed to them from an ICERM email address ( ICERM never works with any conference booking vendors and never collects credit card information.
Those traveling with family who are interested in information about childcare and/or schools should contact
Technology Resources
Wireless internet access ("Brown-Guest") 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.
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. The Brown University "Discrimination and Workplace Harassment Policy" applies to all ICERM participants and staff. Participants with concerns or requests for assistance on a discrimination or harassment issue should contact the ICERM Director, who is the responsible employee 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 for assistance.

B-1 or Visa Waiver Business (WB)
Not Reimbursable
B-2 or Visa Waiver Tourist (WT)
Already in the US?

F-1 and J-1 not sponsored by ICERM: need to 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.

Financial Support

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
  • 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 Request Form

Refer to the back of your ID badge for more information. Checklists are available at the front desk.

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.