Homology, Homotopy and Applications

The geometric realization of monomial ideal rings and a theorem of Trevisan

Higher $K$-theory of Koszul cubes

Homological dimensions of ring spectra

Spaces of topological complexity one

Power maps on $p$-regular Lie groups

The Whitehead type theorems in coarse shape theory

Effective descent morphisms in star-regular categories

On monads of exact reflective localizations of Abelian categories

Brown’s criterion in Bredon homology

Invariants preserved by mutation

The Cellularization Principle for Quillen adjunctions

Chevalley-Eilenberg homology of crossed modules of Lie algebras in lower dimensions

Localisations of cobordism categories and invertible TFTs in dimension two

Alexander duality for parametrized homology

The symmetric join operad

On Kirchhoff’s theorems with coefficients in a line bundle

$n$-relative categories: a model for the homotopy theory of $n$-fold homotopy theories

Simplicial polytope complexes and deloopings of $K$-theory

Homotopy colimits in stable representation theory

Manifold calculus and homotopy sheaves