Organizing Committee
- Ellen Eischen
The University of Oregon - Joel Kamnitzer
University of Toronto - Alex Kontorovich
Rutgers University - Katherine Stange
University of Colorado
Abstract
The symbiotic relationship between the illustration of mathematics and mathematical research is now flowering in algebra and number theory. This workshop aims to both showcase and develop these connections, including the development of new visualization tools for algebra and number theory. Topics are wide-ranging, and include Apollonian circle packings and the illustration of the arithmetic of hyperbolic manifolds more generally, the visual exploration of the statistics of integer sequences, and the illustrative geometry of such objects as Gaussian periods and Fourier coefficients of modular forms. Other topics may include expander graphs, abelian sandpiles, and Diophantine approximation on varieties. We will also focus on diagrammatic algebras and categories such as Khovanov-Lauda-Rouquier algebras, Soergel bimodule categories, spider categories, and foam categories. The ability to visualize complicated relations diagrammatically has led to important advances in representation theory and knot theory in recent years.
This workshop is partially funded by the Alfred P. Sloan Foundation award G-2019-11406 and supported by a Simons Foundation Targeted Grant to Institutes.

Image credit: Stephen J. Brooks, (rendering by David Moore)
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Aaron Abrams
Washington and Lee University
-
Silviana Amethyst
University of Wisconsin - Eau Claire
-
Roger Antonsen
University of Oslo
-
Pierre Arnoux
Université d'Aix-Marseille
-
Arthur Baragar
University of Nevada Las Vegas
-
Sebastian Bozlee
University of Colorado, Boulder
-
Dina Buric
University of Victoria
-
J. Scott Carter
University of South Alabama
-
Anne Carter
University of Hawaii at Manoa
-
Nathan Carter
Bentley University
-
Arnaud Chéritat
Institut de Mathématiques de Toulouse
-
Rémi Coulon
CNRS / Université de Rennes 1
-
Stephen Davis
Brown University
-
Mahadi Ddamulira
Graz University of Technology
-
Kelly Delp
Cornell University
-
Emily Donovan
Queen Mary University of London
-
Gabriel Dorfsman-Hopkins
ICERM/Berkeley
-
David Dumas
University of Illinois at Chicago
-
Tom Edgar
Pacific Lutheran University
-
John Edmark
Stanford University
-
Ellen Eischen
The University of Oregon
-
David Eisenbud
Mathematical Sciences Research Institute and University of California, Berkeley
-
Bernat Espigule
Universitat de Barcelona
-
Frank Farris
Santa Clara University
-
Amy Feaver
The King's University
-
Michal Ferov
University of Newcastle, Australia
-
Rebecca Field
James Madison University
-
Holley Friedlander
Dickinson College
-
Elena Fuchs
University of Illinois at Urbana-Champaign
-
Stephan Garcia
Pomona College
-
Eva Goedhart
Williams College
-
Matthias Görner
Pixar Animation Studios
-
Hester Graves
IDA/CCS
-
Camille Gros
RISD Illustration
-
Helen Grundman
Bryn Mawr College
-
Nadir Hajouji
University of California, Santa Barbara
-
Edmund Harriss
University of Arkansas
-
Sachi Hashimoto
Boston University
-
Judy Holdener
Kenyon College
-
Alexander Holroyd
University of Washington
-
Catherine Hsu
University of Bristol
-
Joel Kamnitzer
University of Toronto
-
Kimia Kazemian
Cornell university
-
Margaret Kepner
Independent
-
Seoyoung Kim
Queen's University
-
Allen Knutson
Cornell University
-
Jerzy Kocik
Southern Illinois University
-
Alex Kontorovich
Rutgers University
-
Evelyn Lamb
freelance
-
Daniel Lautzenheiser
University of Nevada Las Vegas
-
Samuel Lelièvre
Université Paris-Sud
-
Li-Mei Lim
Boston University
-
Matthew Litman
University of California, Davis
-
Dana Mackenzie
Freelance Writer
-
Jason Manning
Cornell University
-
Daniel Martin
University of Colorado
-
Vince Matsko
Independent consultant
-
Sabetta Matsumoto
Georgia Institute of Technology
-
Alex McDonough
Brown University
-
Greg McShane
University of Grenoble Alpes
-
Claire Merriman
Ohio State University
-
David Moore
University of California, San Diego
-
Michael Musty
Dartmouth College
-
Robert Muth
Washington & Jefferson College
-
Brooke Ogrodnik
Rutgers University
-
Emily Peters
Loyola University Chicago
-
Lam Pham
Brandeis University
-
David Rainford
Unknown
-
David Rose
University of North Carolina at Chapel Hill
-
Natasha Rozhkovskaya
Kansas State University
-
Sayan Samanta
Brown University
-
Grant Sanderson
3Blue1Brown
-
Saul Schleimer
University of Warwick
-
Richard Schwartz
Brown University
-
Henry Segerman
Oklahoma State University
-
Tashrika Sharma
University of Vienna
-
Arseniy Sheydvasser
City University of New York, Graduate Center
-
Jennifer Shin
8 Path Solutions | New York University | NBCUniversal
-
Olena Shmahalo
Simons Foundation / Quanta Magazine
-
Martin Skrodzki
Freie Universität Berlin
-
Katherine Stange
University of Colorado
-
John Sullivan
Technische Universitat Berlin
-
Yuri Sulyma
Brown University
-
Laura Taalman
James Madison University
-
Ryan Tavenner
Proof School
-
Steve Trettel
Stanford University
-
Elias Wegert
Freiberg University of Mining and Technology
-
Marty Weissman
University of California, Santa Cruz
-
Glen Whitney
StudioInfinity.org
-
Jonathan Wise
University of Colorado
-
David Wright
Oklahoma State University
-
Carolyn Yackel
Mercer University
-
Benjamin Young
University of Oregon
-
Max Zahoransky von Worlik
Technische Universität Berlin