Department 
of Geometry
and Topology

        The work of this department focuses on three topics. In K-theory, harmonic analysis and mathematical physics, the department carries out researches on Lie groups and their C*-algebras via the noncommutative geometry approach: multidimensional quantization and construction of irreducible representations, determining index C*(G) of group C*-algebras, noncommutative de Rham current theory. In singular theory, investigations focus on topology of polynomials at infinity: link invariant of singularities at infinity, affine Picard-Lefschetz theory, polar affine curves and holonomic systems. On algebraic topology and geometry there are researches on  hyperplane arrangements: topology of complement, their fundamental groups, braid monodromy, families of curves in any characteristics, endomorphisms of abelian varieties. 

Members
Seminar