The 2026 Workshop on Applications of Commutative Algebra and Coding Theory is designed as a collaborative and research-oriented event centered on the organization of working groups. Rather than a traditional sequence of lectures, the workshop will actively foster the formation of small research teams where participants will engage in problem-solving sessions, discuss open questions, and develop concrete lines of collaboration.

The scientific focus will be on the interactions between commutative algebra and coding theory, exploring how algebraic structures such as ideals, Gröbner bases, Hilbert functions, and syzygies can be used to construct, analyze, and optimize error-correcting codes. Topics include algebraic invariants of linear and evaluation codes, connections with toric and projective varieties, and computational techniques relevant to both theory and applications.

The event will take place at CIMAT (Centro de Investigación en Matemáticas) in Guanajuato, Mexico, and will bring together researchers and graduate students interested in sustained interaction between pure algebra and information theory. By emphasizing structured collaboration and thematic working groups, the workshop aims to create an environment where ideas evolve into ongoing research projects.

For more information on the event, contact any of the organizers.

Organizers