$K$-theory of cones of smooth varieties
$K$-theory of Leavitt path algebras
$KK$-theory spectra for $C^\ast$-categories and discrete groupoid $C^\ast$-algebras
$Local^{3}$ Index Theorem
$n$-angulated categories
$\mathbf Z_2$-graded Cech Cohomology in Noncommutative Geometry