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Department of Mathematics
Algebraic geometry research group

Algebraic Geometry

Algebraic geometry studies geometric objects that have an algebraic structure: curves, surfaces and higher dimensional manifolds that locally can be described as zero loci of systems of polynomials. Here there is a rich interplay with modern abstract algebra, topology and complex analysis. Some of the issues are classic and go back up to two hundred years, while others are, for example, related to problems in modern theoretical physics.

Permanent faculty:

 

PhD Students:

 

 

The research interests span a wide range of topics in algebraic geometry, including:
 

 

  •      Complex algebraic and projective geometry
  •      Birational geometry
  •      Deformation and degenerations of curves and surfaces
  •      Brill-Noether theory of compact Riemann surfaces