3 papers
math.CO2025
Two combinatorial puzzles arising from the theory of Kohnert polynomials
Theo Koss, Nicholas Mayers, Alex Moon
Motivated by recent work of Hanser and Mayers, we study two combinatorial puzzles arising from the theory of Kohnert polynomials. Such polynomials are defined as generating polynom…
math.CO2025
Dimensions of toggleability spaces
Ben Adenbaum, Spencer Daugherty, Nicholas Mayers
We establish a conjecture of Defant, Hopkins, PoznanoviÄ, and Propp concerning the dimensions of toggleability spaces for products of chains, shifted staircases, type-A root poset…
math.CO2025
Ghost Kohnert posets
Kelsey Hanser, Nicholas Mayers
Recently, Pan and Yu showed that Lascoux polynomials can be defined in terms of certain collections of diagrams consisting of unit cells arranged in the first quadrant. Starting fr…