3 papers
math.AC2025
A Ghost Lemma for Commutative Ring Homomorphisms via André-Quillen Homology
Daniel McCormick
We adapt the theory of ghost maps from derived categories to the setting of commutative rings using André-Quillen homology. The Frobenius endomorphism is a primary example of a gho…
math.AC2022
Cohomological jump loci and duality in local algebra
Benjamin Briggs, Daniel McCormick, Josh Pollitz
In this article a higher order support theory, called the cohomological jump loci, is introduced and studied for dg modules over a Koszul extension of a local dg algebra. The gener…
math.SP2017
On the realizability of the critical points of a realizable list
Sarah L Hoover, Daniel A. McCormick, Pietro Paparella +1
The nonnegative inverse eigenvalue problem (NIEP) is to characterize the spectra of entrywise nonnegative matrices. A finite multiset of complex numbers is called realizable if it…