My research interests include:  (algebraic) topology (noncommutative) algebraic geometry (algebraic) K-theory  (homological) algebra (noncommutative) motives Here is the video of a survey talk on my recent research work Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry, MSRI (2013) Here are the extended notes of a survey talk on my recent research work Clay Mathematics Proceedings, Volume 16 (2012), 259-276