7 citations · 11 across the 4 of their papers we have counts for
5 papers
Buchsbaum-Eisenbud complexes of OI-modules
Nathan Fieldsteel, Uwe Nagel
We extend the theory of Koszul and Buchsbaum-Eisenbud complexes to modules over commutative OI-algebras and show that they still have the familiar properties of the classical compl…
Minimal and cellular free resolutions over polynomial OI-algebras
Nathan Fieldsteel, Uwe Nagel
Minimal free resolutions of graded modules over a noetherian polynomial ring have been attractive objects of interest for more than a hundred years. We introduce and study two natu…
Gröbner bases and the Cohen-Macaulay property of Li's double determinantal varieties
Nathan Fieldsteel, Patricia Klein
We consider double determinantal varieties, a special case of Nakajima quiver varieties. Li conjectured that double determinantal varieties are normal, irreducible, Cohen-Macaulay…
Polynomial interpolation in higher dimension: from simplicial complexes to GC sets
Nathan Fieldsteel, Hal Schenck
Geometrically characterized (GC) sets were introduced by Chung-Yao in their work on polynomial interpolation in R^d. Conjectures on the structure of GC sets have been proposed by G…
Classification of Groups with Strong Symmetric Genus up to Twenty-Five
Nathan Fieldsteel, Tova Lindberg, Tyler London +2
The strong symmetric genus of a finite group is the minimum genus of a compact Riemann surface on which the group acts as a group of automorphisms preserving orientation. A charact…