Homology, Homotopy and Applications

The homology of $\mathrm{tmf}$

Goodwillie calculus via adjunction and LS cocategory

Mod-$p$ homotopy decompositions of looped Stiefel manifolds

On the cohomology of oriented Grassmann manifolds

Duality for diagram chasing a la Mac Lane in non-abelian categories

The ghost length and duality on the chain and cochain type levels

Cofibrancy of operadic constructions in positive symmetric spectra

On the $f$-invariant of products

Khovanov homotopy types and the Dold–Thom functor

On equivariant homotopy theory for model categories

Continuity of coarse shape groups

Brown categories and bicategories

Homotopy colimits of diagrams over posets and variations on a theorem of Thomason

The observable structure of persistence modules

$PD_4$-complexes: constructions, cobordisms and signatures

Motivic and derived motivic Hirzebruch classes

Cocommutative coalgebras: homotopy theory and Koszul duality

On nontriviality of certain homotopy groups of spheres

Homotopy theory of cofibration categories

Motion planning in real flag manifolds

Complete intersections and equivalences with categories of matrix factorizations