Organizing Committee
- Jennifer Balakrishnan
Boston University - Noam Elkies
Harvard University - Brendan Hassett
ICERM/Brown University - Bjorn Poonen
MIT - Andrew Sutherland
MIT - John Voight
Dartmouth College
Abstract
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.
Questions proposed in the workshop problem session
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
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Jeff Achter
Colorado State University
-
Vishal Arul
MIT
-
Eran Assaf
King's College of London
-
Jennifer Balakrishnan
Boston University
-
Alexander Best
Boston University
-
Matthew Bisatt
University of Bristol
-
Clifford Blakestad
University of Colorado Boulder
-
Nils Bruin
Simon Fraser University
-
Armand Brumer
Fordham University
-
Alina Bucur
UCSD
-
Nirvana Coppola
University of Bristol
-
Edgar Costa
MIT
-
Alexander Cowan
Columbia university
-
Lassina Dembele
Dartmouth College
-
Maarten Derickx
MIT
-
Bruce Dodson
Lehigh Univesity
-
Vladimir Dokchitser
King's CollegeLondon
-
Ravi Donepudi
University of Illinois, Urbana-Champaign
-
Noam Elkies
Harvard University
-
Francesc Fité
IAS
-
Pip Goodman
The University of Bristol
-
David Grant
University of Colorado Boulder
-
Nathan Grieve
Michigan State University
-
Helen Grundman
Bryn Mawr College
-
Sachi Hashimoto
Boston University
-
Brendan Hassett
ICERM/Brown University
-
Everett Howe
Center for Communications Research La Jolla
-
Su-ion Ih
University of Colorado at Boulder
-
Borys Kadets
MIT
-
Ernst Kani
Queen's Univerisity
-
Valentijn Karemaker
University of Pennsylvania
-
Kiran Kedlaya
University of California, San Diego
-
Kamal Khuri-Makdisi
American University of Beirut
-
Seoyoung Kim
Brown University
-
Zev Klagsbrun
Institute for Defense Analyses
-
Avinash Kulkarni
Max Planck Institute for Mathematics in the Sciences
-
Chong Gyu Lee
Soongsil University
-
Richard Leyland
Queen's University
-
Wanlin Li
University of Wisconsin
-
Davide Lombardo
Università di Pisa
-
Alvaro Lozano-Robledo
University of Connecticut
-
Nikita Lvov
Princeton University
-
Celine Maistret
Boston University
-
Stefano Marseglia
Utrecht University
-
Nicolas Mascot
American University of Beirut
-
Jacob Mayle
University of Illinois at Chicago
-
Simone Muselli
University of Bristol
-
Michael Musty
Dartmouth College
-
Tung Nguyen
The University of Chicago
-
Oana Padurariu
Boston University
-
Jennifer Paulhus
Grinnell College
-
Bjorn Poonen
MIT
-
Rachel Pries
Colorado State University
-
Eric Rains
California Institute of Technology
-
Fnu Rakvi
Cornell University
-
Christopher Rasmussen
Wesleyan University
-
David Roberts
University of Minnesota Morris
-
David Roe
Massachusetts Institute of Technology
-
Ciaran Schembri
University of Sheffield
-
Samuel Schiavone
Dartmouth College
-
Chad Schoen
Duke University
-
Jeroen Sijsling
Universität Ulm at the Institut für Reine Mathematik
-
Alice Silverberg
University of California Irvine
-
Joseph Silverman
Brown University
-
Hanson Smith
University of Colorado, Boulder
-
Benjamin Smith
Inria and École Polytechnique
-
Tao Song
University of pennsylvania
-
Padmavathi Srinivasan
Georgia Institute of Technology
-
James Stankewicz
Center for Computing Sciences
-
Andrew Sutherland
MIT
-
Mark Sweeney
Brown University
-
Gonzalo Tornaría
Universidad de la República
-
Nicholas Triantafillou
MIT
-
Raymond van Bommel
Johannes Gutenberg-Universität Mainz
-
Isabel Vogt
Stanford University
-
John Voight
Dartmouth College
-
Jose Voloch
University of Canterbury
-
Tian Wang
University of Illinois at Chicago
-
Peter Wear
University of California, San Diego
-
Yuri Zarhin
Pennsylvania State University
-
Yuwei Zhu
Brown University