138 citations · 1.8k across the 93 of their papers we have counts for
95 papers
Suciu's Conjecture on hyperplane arrangements
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
We prove that the resonance of any hyperplane arrangement is separable. Using the main result from arXiv:2512.10160 this proves Suciu's conjecture on the fundamental group of every…
Profinite completions and cohomology jump loci
Alexander I. Suciu
Let be a connected finite-type CW-complex with fundamental group . We show that the profinite completion determines the cohomology jump loci $\mathcal{V}^q_s(X…
Groups associated to 1-minimal models for binomial -algebras
Richard D. Porter, Alexander I. Suciu
We give an explicit, cochain-level algebraic model for the pronilpotent completion of a group with finitely generated first cohomology. To each binomial -dga over…
Twisted homology jump loci, twisted Alexander polynomials, and -invariants
Yongqiang Liu, Alexander I. Suciu
We introduce the twisted homology jump loci of a space : the jump loci for homology with coefficients in rank-one local systems, twisted by a fixed finite-dimensional representa…
Highly connected non-formal Milnor fibers via polyhedral products
Alexander I. Suciu
We show that the realization theorem of Fernández de Bobadilla, which identifies the Milnor fiber of a weighted-homogeneous polynomial with the complement of a germ of analytic set…
Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
Alexander I. Suciu
We develop a Koszul-theoretic framework for comparing classical Alexander-type invariants with infinitesimal invariants arising from finite-type commutative differential graded alg…