3 papers
math.AC2026
Eventual Nonstandard Koszulness Fails for Veronese Subrings of Weighted Polynomial Rings
Juliette Bruce
By a result of Backelin, Veronese subrings of a standard -graded algebra are eventually Koszul. Davis, Erman, and Martinova recently conjectured that the analogous stat…
math.CO2026
Explorations of Matroid Complexes
Juliette Bruce, Jacob Bucciarelli, Bailee Zacovic
Motivated by Kontsevich's graph complexes, this paper gives a systematic study of matroid complexes. We construct deletion and contraction bicomplexes on the vector space spanned b…
math.AG2025
Seshadri Regions and the Asymptotic Shape of Multigraded Regularity
Juliette Bruce, Lauren Cranton Heller, Mahrud Sayrafi +1
We introduce the Seshadri region of a subvariety, a convex region packaging the classical Seshadri constants with respect to every line bundle simultaneously. We develop the theory…