My primary research interest lies in the area of arithmetic algebraic geometry, more specifically in the study of rational equivalence of 0-cycles on algebraic surfaces over a field (Bloch's conjecture and similar problems). This rational equivalence can be thought as rational connectivity on symmetric powers of smooth projective surfaces, and my principle aim is to understand how to deform rational curves on symmetric powers, and more importantly how to lift them from positive characteristic to zero one.
I am also interested in applications of 0-cycles to birational geometry. An important direction here is to study integral indecomposability of transcendental motives of smooth projective surfaces, the relevance of the latter to birational geometry of 4-fold hypersurfaces in 5-dimensional projective spaces, and lifting of integral indecomposability of transcendental motives from characteristic p>0 to characteristic 0.