Homology, Homotopy and Applications

Topological $K$-theory of equivariant singularity categories

Time-reversal homotopical properties of concurrent systems

On a conjecture of Mahowald on the cohomology of finite sub-Hopf algebras of the Steenrod algebra

Quantifying Quillen’s uniform $\mathcal{F}_p$-isomorphism theorem

Algebraic cobordism in mixed characteristic

A $\operatorname{dg}$ Lie model for relative homotopy automorphisms

Crossed modules and symmetric cohomology of groups

An algebraic representation of globular sets

A note on a Holstein construction

The homology of principally directed ordered groupoids

The non-nil-invariance of periodic topological cyclic homology

Koszul duality and the Hochschild cohomology of Artin–Schelter regular algebras

Equivariant Steinberg summands

Compatible actions in semi-abelian categories

A simple proof of Curtis’ connectivity theorem for Lie powers

Euler characteristics of finite homotopy colimits

Verification of the Quillen conjecture in the rank 2 imaginary quadratic case

So, what is a derived functor?

Braided categorical groups and strictifying associators

Galois theory and the categorical Peiffer commutator

Crossed modules in the category of Loday QD-Rinehart algebras

An elementary computation of the cohomology of the Fomin–Kirillov algebra with $3$ generators

Constructions of self-maps of $\operatorname{SU}(4)$ via Postnikov towers