The Interplay Between Distance Geometry, Combinatorics, and Coding Theory

November 18, 2025 - November 21, 2025

Organizers:

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Alexander Barg
University of Maryland
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Peter Boyvalenkov
Bulgarian Academy of Sciences
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Qëndrim Gashi
University of Maryland

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
  • Schedule
  • Workshop poster (download pdf)
  • Photos


Participants:

  • Victor Albert, University of Maryland
  • Dmitry Bilyk, University of Minnesota
  • Sergiy Borodachov, Towson University
  • Ansgar Burchards, Freie Universität Berlin
  • Nolan Coble, University of Maryland
  • Peter Dragnev, Purdue University Fort Wayne
  • Artur Elezi, American University
  • Dor Elimelech, Tel Aviv University
  • Steven Flammia, Virginia Tech
  • Daniel Gerbner, Alfréd Rényi Institute of Mathematics
  • 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
  • Gretchen Matthews, Virginia Tech
  • Ryan Matzke, Vanderbilt University
  • Elizabeth Milicevic, Haverford College
  • Quynh The Nguen, Harvard University
  • Ferruh Ozbudak, Sabanci University
  • Moshe Schwartz, MacMaster University
  • Tony Shaska, Oakland University
  • Oscar Sprumont, University of Washington
  • Maya Stoyanova, Sofia University
  • Itzhak Tamo, Tel Aviv University
  • Jean-Pierre Tillich, INRIA, Paris
  • Hsin-Po Wang, National Taiwan University
  • Tianyuan Xu, Richmond University