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Research and Publishing Activities since 2000
Complete list see here

Primary: Commutative Algebra and its Interaction with Algebraic Geometry
Local Cohomology
 
Structure of Local Cohomology Modules
 
Vanishing- and Finiteness Results
 
Associated Primes of Local Cohomology Modules
 
Behaviour of Graded Components

Cohomology of Projective Schemes
 
Cohomological Hilbert Functions
 
Cohomological Patterns
 
Castelnuovo-Regularity and Related Invariants

Projective Varieties of low Degree
 
Geometric Characterizations
 
Cohomology and Hartshorne-Rao Functions
 
Approximation of Betti-Numbers
 
Cohomology of Ample Line Bundles

Secondary: Visualization and popular Exposition of Mathematics
Visualization of Surfaces
 
Models of closed Surfaces
 
Blown-ups of the Plane