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 
 CastelnuovoRegularity and Related Invariants 
Projective Varieties of low Degree
 Geometric Characterizations 
 Cohomology and HartshorneRao Functions 
 Approximation of BettiNumbers 
 Cohomology of Ample Line Bundles 
Secondary: Visualization and popular Exposition of Mathematics
Visualization of Surfaces  Models of closed Surfaces 
