Homology, Homotopy and Applications

(Co)homology of poset Lie algebras

On $H$-spaces and a congruence of Catalan numbers

Categorifying the magnitude of a graph

Cohomology of linking systems with twisted coefficients by a $p$-solvable action

On the dimension of classifying spaces for families of abelian subgroups

Extending homotopy theories across adjunctions

Twisted simplicial groups and twisted homology of categories

A note on thick subcategories and wide subcategories

Braided systems: a unified treatment of algebraic structures with several operations

Box complexes and homotopy theory of graphs

A note on the algebraic de Rham universal classes

Univalence for inverse EI diagrams

The Mayer–Vietoris sequence for graphs of groups, property (T), and the first $\ell^2$-Betti number

Twisted Blanchfield pairings and decompositions of 3-manifolds

An algebraic model for rational $G$-spectra over an exceptional subgroup

Persistence of zero sets

Explicit homotopy limits of $\mathrm{dg}$-categories and twisted complexes

Tate objects in stable $(\infty, 1)$-categories