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