3 papers
math.CO2022
Topology of complements of skeletons
Rowan Rowlands
Given a polytopal complex , we examine the topological complement of its -skeleton. We construct a long exact sequence relating the homologies of the skeleton complements and…
math.CO2020
Relating CAT(0) cubical complexes and flag simplicial complexes
Rowan Rowlands
Given a finite CAT(0) cubical complex, we define a flag simplicial complex associated to it, called the crossing complex. We show that the crossing complex holds much of the combin…
math.AC2017
Syzygies of the apolar ideals of the determinant and permanent
Jarod Alper, Rowan Rowlands
We investigate the space of syzygies of the apolar ideals and of the determinant and permanent polynomials. Shafiei had…