My
recent work is available at the arXiv 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 HPD-invariance of the Tate conjecture Noncommutative motives in positive characteristic and their applications Feynman quadrics-motive of the massive sunset graph with Matilde Marcolli Noncommutative rigidity 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 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 Modified mixed realizations, new additive invariants, and periods of dg categories To appear in International Mathematics Research Notices The Gysin triangle via localization and A^1-homotopy invariance with Michel Van den Bergh To appear in Transactions of the American Mathematical Society 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 |