138 citations · 1.8k across the 93 of their papers we have counts for
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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…
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…
Hyperplane arrangements with non-formal Milnor fibers
Alexander I. Suciu
Each complex hyperplane arrangement gives rise to a Milnor fibration of its complement. Building on work of Zuber, we give a combinatorial sufficient condition for th…
Cup-one algebras and 1-minimal models
Richard D. Porter, Alexander I. Suciu
In previous work we introduced the notion of binomial cup-one algebras, which are differential graded algebras endowed with Steenrod -products and compatible binomial opera…
Formality and finiteness in rational homotopy theory
Alexander I. Suciu
We explore various formality and finiteness properties in the differential graded algebra models for the Sullivan algebra of piecewise polynomial rational forms on a space. The 1-f…