Algebraic geometry

Algebraic geometry is a branch of mathematics which classically is devoted to the study of solutions of polynomial equations in several variables, so called algebraic varieties.

Published 16. Dec. 2020. Updated on 03. Jul. 2024

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)

In the period 2024-2030, the research group hosts the project "Fano manifolds, wall structures and torus fibrations" and from 2014-2018 the project "Knipper på abelian varieties", both funded by the Research Council and the University of Stavanger.