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math.CO2026
The Stable Tamari Lattice
Herman Chau, Spencer Daugherty, Sean Grate +3
We introduce the stable Tamari lattice , an infinite lattice on . The -Tamari lattices on -Dyck paths of height occur as a nested family o…
math.AC2026
Graded Betti numbers of graded Möbius algebras of uniform matroids
Louiza Fouli, Sean Grate, Selvi Kara +5
Graded Möbius algebras were a key tool in the proof of the Dowling-Wilson Top Heavy Conjecture. They are commutative algebras whose Hilbert functions recover the Whitney numbers of…
math.AC2026
Incidence toric ideals and three-point functions
Barbara Betti, Sean Grate, Thiago Holleben +1
We study the ideal of the algebraic relations among 3-point functions from a combinatorial and topological perspective. We place this problem in the broader setting of incidence to…