My recent work is available at the arXiv From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives with Marcello Bernardara Motivic decompositions in the commutative and noncommutative world with Marcello Bernardara  K-theory of endomorphisms via noncommutative motives  with Andrew J. Blumberg and David Gepner Galois descent of additive invariants E_n-regularity implies E_(n-1)-regularity Jacobian of noncommutative motives with Matilde Marcolli A Quillen model for classical Morita theory and a tensor categorification of the Brauer group with Ivo Dell'Ambrogio Unconditional motivic Galois groups and Voevodsky's nilpotence conjecture in the noncommutative world with Matilde Marcolli Noncommutative numerical motives, Tannakian structures, and motivic Galois groups with Matilde Marcolli Uniqueness of the multiplicative cyclotomic trace  with Andrew J. Blumberg and David Gepner Witt vectors and K-theory of automorphisms via noncommutative motives To appear in Manuscripta Mathematica Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives with Denis-Charles Cisinski To appear in Journal of Noncommutative Geometry Noncommutative Artin motives with Matilde Marcolli To appear in Selecta Mathematica From exceptional collections to motivic decompositions via noncommutative motives with Matilde Marcolli To appear in Journal für die reine und angewandte Mathematik (Crelle) Morita homotopy theory of C*-categories with Ivo Dell'Ambrogio To appear in Journal of Algebra Bivariant cyclic cohomology and Connes' bilinear pairings in noncommutative motives To appear in Journal of Noncommutative Geometry Noncommutative motives, numerical equivalence, and semi-simplicity with Matilde Marcolli To appear in American Journal of Mathematics Chow motives versus noncommutative motives To appear in Journal of Noncommutative Geometry