11 citations · 31 across the 12 of their papers we have counts for
12 papers
The virtual Euler characteristic for binary matroids
Madeline Brandt, Juliette Bruce, Daniel Corey
Inspired by Kontsevich's graphic orbifold Euler characteristic we define a virtual Euler characteristic for any finite set of isomorphism classes of matroids of rank . Our main…
Bounds on Multigraded Regularity
Juliette Bruce, Lauren Cranton Heller, Mahrud Sayrafi
Multigraded Castelnuovo--Mumford regularity of a module over the total coordinate ring of a smooth projective toric variety is a region $\operatorname{reg} M \subset \o…
Families of skew-symmetric matrices of even size
J. W. Bruce, V. V. Goryunov, G. J. Haslinger
The main result of the paper is a classification of singularities of complex skew-symmetric matrix families of even size which are simple under a natural equivalence relation. The…
Syzygies of : data and conjectures
Juliette Bruce, Daniel Corey, Daniel Erman +3
We provide a number of new conjectures and questions concerning the syzygies of . The conjectures are based on computing the graded Betti tables an…
On the Top-Weight Rational Cohomology of
Madeline Brandt, Juliette Bruce, Melody Chan +3
We compute the top-weight rational cohomology of for , , and , and we give some vanishing results for the top-weight rational cohomology of and $ A_{10…
The Quantitative Behavior of Asymptotic Syzygies for Hirzebruch Surfaces
Juliette Bruce
The goal of this note is to quantitatively study the behavior of asymptotic syzygies for certain toric surfaces, including Hirzebruch surfaces. In particular, we show that the asym…