3 papers
math.CO2026
Linear Spaces over Perfect Idylls
Jeffery Liu
We construct a category of vector space-like objects called linear spaces over perfect idylls (an algebraic structure generalizing fields and hyperfields), which is a specializ…
math.CO2024
A "Staircase" formula for the Chern-Schwartz-MacPherson cycle of a matroid
Franquiz Caraballo Alba, Jeffery Liu
We provide a formula for the Poincaré dual of the Chern-Schwartz-MacPherson (CSM) cycle of a matroid in the Chow ring of the matroid. We derive the formula from the case of matroid…
cs.SD2021
Exploring Exotic Counterpoint Compositions
Octavio A. Agustín-Aquino, Jeffery Liu, Guerino Mazzola
In this paper, first musical compositions are presented, which are created using the mathematical counterpoint theory of Guerino Mazzola and his collaborators. These compositions a…