Profile
The following key words give an impression of the areas of research:
Algebraic geometry, Algebraic theory of differential equations, Arithmetic of elliptic curves and elliptic surfaces, Galois representations.
Some specific topics include:
- Differential equations having the Painlevé property
- Grothendieck's conjecture in differential Galois theory
- Moduli of Drinfeld modules
- Arithmetic and ranks of elliptic surfaces
- Nonselfdual Galois representations
- Homologically trivial cycles on threefolds
- The number of points on a curve over a finite field
External projects and cooperation
- NWO cluster DIAMANT
- North German Algebraic Geometry Seminar (NoGAGS)
- European Network GTEM
Participation in other research schools
The group maintains its own local web pages.