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