Positive curvatures, exotic manifolds and Riemannian foliations
Classification and global properties of Riemannian foliations
Geometry and topology under positive/nonnegative sectional curvature
Geometry of Riemannian, semi-Riemannian varieties and actions of Lie groups
Poisson structures on Calabi-Yau threefolds and their deformations
Algebraic, topological and analytical techniques in differential geometry and geom...