papers
Publications (14)
math.AC2017
A Tight Bound on the Projective Dimension of Four Quadrics
Craig Huneke, Paolo Mantero, Jason McCullough +1
math.AC2019
Singularities of Rees-like Algebras
Paolo Mantero, Jason McCullough, Lance Edward Miller
math.AC2013
Multiple Structures with Arbitrarily Large Projective Dimension on Linear Subspaces
Craig Huneke, Paolo Mantero, Jason McCullough +1
math.NT2004
A Generalized Floor Bound for the Minimum Distance of Geometric Goppa Codes and its Application to Two-Point Codes
Benjamin Lundell, Jason McCullough
math.AC2013
Hypergraphs and the Regularity of Square-free Monomial Ideals
Kuei-Nuan Lin, Jason McCullough
math.AC2011
A Polynomial Bound on the Regularity of an Ideal in Terms of Half of the Syzygies
Jason McCullough
math.AC2014
A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property
Craig Huneke, Paolo Mantero, Jason McCullough +1
math.AC2019
Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs
Zachary Greif, Jason McCullough
The paper provides combinatorial characterizations of when toric edge ideals of bipartite graphs satisfy the Green‑Lazarsfeld conditions N_p, showing that linear presentation (N_2)…
#toric edge ideals#bipartite graphs#green-lazarsfeld conditions#syzygies
math.AC2010
A Family of Ideals with Few Generators in Low Degree and Large Projective Dimension
Jason McCullough
math.AC2018
The projective dimension of three cubics is at most 5
Paolo Mantero, Jason McCullough
math.AC2011
Ideals with Larger Projective Dimension and Regularity
Jesse Beder, Jason McCullough, Luis Nunez-Betancourt +3
math.AC2018
On the maximal graded shifts of ideals and modules
Jason McCullough
math.AC2018
Stillman's Question for Exterior Algebras and Herzog's Conjecture on Betti Numbers of Syzygy Modules
Jason McCullough
math.AC2013
The projective dimension of codimension two algebra presented by quadrics
Craig Huneke, Paolo Mantero, Jason McCullough +1