112 citations · 856 across the 42 of their papers we have counts for
44 papers
Koszul modules and Green's conjecture
Marian Aprodu, Gavril Farkas, Stefan Papadima +2
We prove a strong vanishing result for finite length Koszul modules, and use it to derive Green's conjecture for every g-cuspidal rational curve over an algebraically closed field…
Topological invariants of groups and Koszul modules
Marian Aprodu, Gavril Farkas, Stefan Papadima +2
We provide a uniform vanishing result for the graded components of the finite length Koszul module associated to a subspace K inside the second exterior product of a vector space,…
Infinitesimal finiteness obstructions
Stefan Papadima, Alexander I. Suciu
Does a space enjoying good finiteness properties admit an algebraic model with commensurable finiteness properties? In this note, we provide a rational homotopy obstruction for thi…
Rank two topological and infinitesimal embedded jump loci of quasi-projective manifolds
Stefan Papadima, Alexander I. Suciu
We study the germs at the origin of -representation varieties and the degree 1 cohomology jump loci of fundamental groups of quasi-projective manifolds. Using the Morgan-Dupont…
Naturality properties and comparison results for topological and infinitesimal embedded jump loci
Stefan Papadima, Alexander I. Suciu
We use augmented commutative differential graded algebra (ACDGA) models to study -representation varieties of fundamental groups and their embedded cohomology jump lo…
The topology of compact Lie group actions through the lens of finite models
Stefan Papadima, Alexander I. Suciu
Given a compact, connected Lie group , we use principal -bundles to construct manifolds with prescribed finite-dimensional algebraic models. Conversely, let be a compact,…