Darstellbarkeitskriterien für analytische Funktoren
Das formale Prinzip und Modifikationen komplexer Räume.
Deformations of theta divisors and the rank 4 quadrics problem
Deforming syzygies of liftable modules and generalised Knörrer functors
Maps between deformation functors of modules are given which generalise the maps induced by the Knörrer functors. These maps become isomorphisms after introducing certain equations in the target functor restricting the Zariski tangent space. Explicit examples are given on how the isomorphisms extend results about deformation theory and classification of MCM modules to higher dimensions.
Differential equations which come from geometry
Diophantine approximations on projective spaces.