Coding theory has been both a source of intriguing problems in distance geometry and combinatorics and a beneficiary of the methods developed in these areas. Recent developments at the intersection of the three areas have highlighted several new, rapidly developing directions in each of them. The evolution of quantum coding has shed a new light on classical families of error- correcting codes such as Reed-Muller codes and their extensions, and has led to intriguing developments in the construction and applications of expander graphs and their higher-dimensional generalizations. There are interesting connections between finite point configurations, extremal combinatorics and questions arising from combinatorics of root systems, which again can be viewed in the language of codes. The workshop will bring together senior and junior participants who work in these areas, to share their ideas and current research, and advance the understanding of the interplay between distance geometry, combinatorics, and coding theory.

Participants

• Victor Albert, University of Maryland & NIST
• Victor Hugo Almendra Hernandez, The University of Chicago
• Dmitry Bilyk, University of Minnesota
• Sergiy Borodachov, Towson University
• Ansgar Burchards, Freie Universität Berlin
• Zitan Chen, The Chinese University of Hong Kong, Shenzhen
• Nolan Coble, University of Maryland
• Peter Dragnev, Purdue University Fort Wayne
• Artur Elezi, American University
• Dor Elimelech, Tel Aviv University
• Steven Flammia, Virginia Tech
• Alexey Glazyrin, University of Texas Rio Grande Valley
• Louis Golowich, University of California, Berkeley
• Navin Kashyap, Indian Institute of Science
• Ilias Kotsireas, Wilfrid Laurier University
• Michael Langberg, SUNY Buffalo
• Joel Lewis, George Washington University
• Guodong Li, Shandong University
• Gretchen Matthews, Virginia Tech
• Elizabeth Milicevic, Haverford College
• Quynh The Nguen, Harvard University
• Ferruh Özbudak, Sabanci University
• Moshe Schwartz, MacMaster University
• Chong Shangguan, Shandong University
• Oscar Sprumont, University of Washington
• Maya Stoyanova, Sofia University
• Itzhak Tamo, Tel Aviv University
• Hsin-Po Wang, National Taiwan University
• Tianyuan Xu, University of Richmond

Poster: