My recent work is available at the arXiv Noncommutative Weil conjecture HPD-invariance of the Tate, Beilinson and Parshin conjectures   Schur-finiteness (and Bass-finiteness) conjecture for quadric fibrations and for families of sextic du Val del Pezzo surfaces Jacques Tits' motivic measure Embedding of the derived Brauer group into the secondary K-theory ring To appear in Journal of Noncommutative Geometry From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives with Marcello Bernardara To appear in Moscow Mathematical Journal