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Research
Fall 23
Spring 24
Research
Projective Varieties of Maximal Sectional Regularity
Research and Publishing Activities since 2000
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
Projective Varieties of Maximal Sectional Regularity
Geometry and Projecting Scrolls
Extremal Secant Lines and Extremal Secant Varieties
Cohomological Properties and Betti Numbers
The Case of Codimension 2
Classification
Secondary: Visualization and Popular Exposition of Mathematics
Visualization of Surfaces
Models of closed Surfaces
Paremetrization and Physical Realization
Blowups of the Real Affine Plane
Embedded Blowups with respect to a Pair of Polynomials
Embedded Isomorphisms and Isotopic Families
Animated Visualization