2 papers
math.AC2023
The Grothendieck Ring of Certain Non-Noetherian Group-Graded Algebras via -Series
Nathaniel Gallup
With the goal of computing the Grothendieck group of certain multigraded infinite polynomial rings and the -series of infinite matrix Schubert spaces, we introduce a new type of…
math.AG2021
Well-Ordered Flag Spaces as Functors of Points
Nathaniel Gallup
Using Grothendieck's "functor of points" approach to algebraic geometry, we define a new infinite-dimensional algebro-geometric flag space as a -functor (for a ring) which m…