Motives with modulus, III: The categories of motives

$K_0$-stability over monoid algebras

Twisted iterated algebraic K-theory and topological T-duality for sphere bundles

The fundamental theorem of localizing invariants

Remarks on iterations of the $\mathbb A^1$-chain connected components construction

Comparison of Waldhausen constructions

Algebraic $K$-theory and a semi-finite Fuglede-Kadison determinant

The surgery exact sequence, K-theory and the signature operator

Stable $\mathbb{A}^1$-connectivity over Dedekind schemes

Witt groups of abelian categories and perverse sheaves

Hecke modules for arithmetic groups via bivariant K-theory

$C_2$-equivariant stable homotopy from real motivic stable homotopy

K-theory and the singularity category of quotient singularities

Generalized stability for abstract homotopy theories

A Baum-Connes conjecture for singular foliations

Hochschild homology, lax codescent, and duplicial structure

Hochschild homology of twisted crossed products and twisted graded Hecke algebras

Topological K-theory of affine Hecke algebras

Segal operations in the algebraic $K$-theory of topological spaces

Weibel's conjecture for twisted K-theory

Splitting the relative assembly map, Nil-terms and involutions

Abstract tilting theory for quivers and related categories

Stable $\mathbb{A}^1$-connectivity over Dedekind schemes

Birational motives, I: pure birational motives

Floor, ceiling, slopes, and $K$-theory

Motivic complexes over non perfect fields

A generalized Vaserstein symbol