Homology, Homotopy and Applications

(Co)homology self-closeness numbers of simply-connected spaces

Cohomology of the classifying spaces of $U(n)$-gauge groups over the 2-sphere

The equivariant fundamental groupoid as an orbifold invariant

A simplicial construction for noncommutative settings

Gradient versus proper gradient homotopies

Biased permutative equivariant categories

The wedge family of the cohomology of the $\mathbb{C}$-motivic Steenrod algebra

Unstable algebras over an operad

Vector bundles and cohomotopies of $\operatorname{spin} 5$-manifolds

Truncated derived functors and spectral sequences

Flatness and Shipley’s algebraicization theorem

Mapping algebras and the Adams spectral sequence

The trace of the local $\mathbb{A}^1$-degree

$\mathbb{A}^1$-homotopy equivalences and a theorem of Whitehead

Linear motion planning with controlled collisions and pure planar braids

Geometric approach to graph magnitude homology

Refinement invariance of intersection (co)homologies

Minimal models for monomial algebras

The local hyperbolicity of $\mathbf{A}_n^2$-complexes

The operad that co-represents enrichment