Permutation Patterns: TNG

Abstract: Permutations are a classic tool for modeling a variety of scenarios. The study of permutations in their own right, as combinatorial objects, has blossomed in the last half century through a burgeoning interest in permutation patterns. The patterns that a given permutation contains (or avoids) have shown remarkable relevance - and with applications to numerous other fields. We will discuss major themes of that research, as well as exciting and relatively new directions for the field. These directions, sometimes complementary to classical results, have already shown great utility and are poised for even more, suggesting a thrilling new generation of research to come. Including collaborations with Yosef Berman, Ian Cavey & Hugh Dennin, Joel Lewis, and Kyle Petersen.

algebraic geometrycombinatorics

Audience: researchers in the discipline

MAAGC 2026

Series comments: The 2026 annual Mid-Atlantic Algebra, Geometry, and Combinatorics (MAAGC) Workshop will take place October 23-25, 2026, at VCU.

The MAAGC Workshop aims to bring together senior researchers and junior mathematicians from the region to exchange ideas and forge collaborations in algebra, geometry, and combinatorics. The conference is funded by National Science Foundation grant DMS-2408985.