| Licci ideals as an obstruction to Noetherian base rings for generic free resolutions |
PDF |
A brief note explaining how the non-Noetherianity of Weyman's generic ring for a given format implies it for any generic ring of that same format. |
| Weyman's generic ring for free resolutions of length three |
slides |
Slides for a talk I gave in the special session on group actions in commutative algebra at JMM 2024. |
| ADE correspondence for grade three perfect ideals (2023) |
draft PDF |
Joint with Lorenzo Guerrieri and Jerzy Weyman. We show how the ADE correspondence may be used to classify perfect ideals of grade three with small Betti numbers. |
| Parametrizing higher structure maps for resolutions of length three (2023) |
PDF |
An analysis of the relations which hold in Weyman's generic ring. |
| Free resolutions constructed from bigradings on Lie algebras (2023) |
arXiv |
Joint with Jerzy Weyman. Resolves the coordinate rings for certain Schubert varieties restricted to an open cell. |
| Higher structure maps for free resolutions of length 3 and linkage (2022) |
arXiv |
Joint with Lorenzo Guerrieri and Jerzy Weyman. An explicit study of how (the first few) higher structure maps coming from Weyman's generic ring behave under linkage. |