1 citations · 1 across the 4 of their papers we have counts for
5 papers
Generalized Thom Spectra, Conjugate Stacks, and truncated Brown-Peterson Spectra
Preston Cranford
We propose a of definition conjugate stack for a class of suitable --algebras that includes the truncated Brown-Peterson spectra $\mathrm{BP}\langle n \r…
Finding Bounded Simplicial Sets with Finite Homology
Preston Cranford, Peter Rowley
The central problem in computational algebraic topology is the computation of the homotopy groups of a given space, represented as a simplicial set. Algorithms have been found whic…
Triconed Graphs, weighted forests, and h-vectors of matroid complexes
Jacob David, Pierce Lai, SuHo Oh +1
A well-known conjecture of Stanley is that the h-vector of a matroid is a pure O-sequence. There have been numerous papers with partial progress on this conjecture, but it is still…
Projective toric varieties of codimension 2 with maximal Castelnuovo--Mumford regularity
Preston Cranford, Alan Peng, Vijay Srinivasan
The Eisenbud--Goto conjecture states that for a nondegenerate irreducible projective variety over an alg…
Biconed graphs, weighted forests, and h-vectors of matroid complexes
Preston Cranford, Anton Dochtermann, Evan Haithcock +3
A well-known conjecture of Richard Stanley posits that the -vector of the independence complex of a matroid is a pure -sequence. The conjecture has been establishe…