Homology, Homotopy and Applications

Homotopy characters as a homotopy limit

On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists

Rational circle-equivariant elliptic cohomology of CP(V)

Graded Lie structure on cohomology of some exact monoidal categories

Semi-prorepresentability of formal moduli problems and equivariant structures

On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$

Monotone cohomologies and oriented matchings

Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$

Standard conjecture D for local stacky matrix factorizations

On the coformality of classifying spaces for fibrewise self-equivalences

Cohomology of spaces of Hopf equivariant maps of spheres

Simplicial $*$-modules and mild actions

Uniqueness of monoidal adjunctions

LS-category and topological complexity of several families of fibre bundles

The algebraic stability for persistent Laplacians

The magnitude homology of a hypergraph

Homotopy type of the independence complex of some categorical products of graphs

Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle