Homology, Homotopy and Applications

Higher Morse moduli spaces and $n$-categories

Homological descent for motivic homology theories

Derived categories of absolutely flat rings

Weak Lefschetz for Chow groups: Infinitesimal lifting

Crossed modules of racks

$L_{\infty}$-algebras of local observables from higher prequantum bundles

Universal enveloping crossed module of a Lie crossed module

Ramified coverings of small categories

Coalgebraic models for combinatorial model categories

On the vanishing of characteristic numbers

Bousfield lattices of non-Noetherian rings: some quotients and products

Annihilation of cohomology and decompositions of derived categories

Homology operations in symmetric homology

Properness and simplicial resolutions in the model category $\mathbf{dgCat}$

Motives and oriented cohomology of generically cellular varieties

Algebraic analogue of the Atiyah completion theorem

A useful lemma on equivariant maps

Distance functions, critical points, and the topology of random Čech complexes

Homotopy representations over the orbit category