Nowadays algebraic geometry also considers much more abstract structures.

The algebra group at UiS works mainly in the realms of **projective geometry**, studying varieties which admit embeddings into projective spaces.

The scientists focus on the following subject areas:

**Calabi-Yau type varieties**(a class of varieties on the boundary of knowledge from the point of view of classification with ample applications in other fields of mathematics)**Fano manifolds**(classical algebraic varieties studied already in 1930s)**Moduli spaces**(varieties parametrizing other objects)**Enumerative geometry**(counting curves and other objects on algebraic varieties)**Derived categories**(some abstract structures associated to algebraic varieties)**Stability conditions**(structures that permit to construct moduli spaces)

During 2014-2018 the research group hosts the project "Sheaves on

abelian varieties", funded by the Research Council of Norway and the

University of Stavanger.