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 wideranging, 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 KhovanovLaudaRouquier 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 G201911406 and supported by a Simons Foundation Targeted Grant to Institutes.
Confirmed Speakers & Participants
 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'AixMarseille

Arthur Baragar
University of Nevada Las Vegas

Sebastian Bozlee
University of Colorado, Boulder

Dina Buric
University of Victoria

J. 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 DorfsmanHopkins
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 UrbanaChampaign

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

Max Krause
Technische Universität Berlin

Evelyn Lamb
freelance

Daniel Lautzenheiser
University of Nevada Las Vegas

Samuel Lelièvre
Université ParisSud

LiMei 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