Research Interests

My research concerns topology of Lie groups and related spaces. More specifically, I study compact Lie groups, their homogeneous spaces, manifolds with Lie group actions through topological invariants such as the (equivariant) cohomology. My recent research has focussed on the torus equivariant topology of flag manifolds and toric manifolds. My main technical tools are the classical methods of algebraic topology, such as spectral sequences, cohomology operations, and rational homotopy theory.

In a different direction, I have also recently begun to pursue a research programme on applications of topology in computer sciences, in particular,  computer graphics and information security.

Please look at Publications for papers, Talks for slides, and Compute Codes.