My
recent work is available at the arXiv HPD-invariance of the Tate, Beilinson and Parshin conjectures Grothendieck's standard conjecture of type D in positive characteristic for linear sections of determinantal varieties Schur-finiteness conjecture for quadric fibrations and families of sextic du Val del Pezzo surfaces Noncommutative motives in positive characteristic and their applications Feynman quadrics-motive of the massive sunset graph with Matilde Marcolli thematische Zeitsc Invariants of noncommutative projective schemes Additive invariants of orbifolds with Michel Van den Bergh Jacques Tits' motivic measure A note on secondary K-theory II Noncommutative rigidity To appear in Mathematische Zeitschrift Vanishing of the negative homotopy K-theory of quotient singularities To appear in Journal of the Institute of Mathematics of Jussieu A note on the Schur-finiteness of linear sections To appear in Mathematical Research Letters A note on Grothendieck's standard conjectures of type C and D To appear in Proceedings of the American Mathematical Society A^1-homotopy invariants of corner skew Laurent polynomial algebras To appear in Journal of Noncommutative Geometry Some remarks concerning Voevodsky's nilpotence conjecture with Marcello Bernardara and Matilde Marcolli To appear in Journal für die reine und angewandte Mathematik From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives with Marcello Bernardara To appear in Moscow Mathematical Journal |