Research Interest

• Combinatorial Topology and PL-Topology :
  Minimal triangulations of manifolds and homology manifolds; Triangulations of projective spaces; Tight and tight-neighbourly triangulations of manifolds; Stacked manifolds; Vertex transitive and degree-regular triangulations of surfaces; Crystallizations of manifolds.
• Convex and Discrete Geometry :
  Isoperimetric problems; Map colouring problems; Equivelar and semi-equivelar polyhedral maps; Vertex transitive maps; Stacked spheres and lower bound theorems; Flag spheres; Pachner graphs of 2-spheres.
• Differential Topology and Differential Geometry :
  Hypercomplex manifolds; Morse functions; Almost complex, symplectic and Kähler structures; Totally real submanifolds.