Noncommutative counterparts of celebrated conjectures [pdf]
To appear in the proceedings of the conference K-theory in algebra, analysis and topology
, Buenos Aires, Argentina (satellite event of the ICM 2018)

Recent developments on noncommutative motives
New Directions in Homotopy Theory, Contemporary Mathematics 707 (2018), 143-173

Noncommutative motives and their applications [pdf]
(with Matilde Marcolli)
Commutative Algebra and Noncommutative Algebraic Geometry I, MSRI Publications 67 (2015), 191-214

A guided tour through the garden of noncommutative motives [pdf]
Clay Mathematics Proceedings, Volume 16 (2012), 259-276