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- Classification of Hypersurface Singularities
- Coding Theory
- Deformations of Singularities
- Equidimensional Part (via Ext-groups)
- Existence of Hypersurfaces with Prescribed Singularities
- Finite Groups: A Problem
- Flattening Stratification
- Geometric Genus of Projective Curves
- Ideal Membership
- Hilbert Series
- Moduli Spaces for Space Curve Singularities
- Monodromy of Isolated Hypersurface Singularities
- Normalization of Rings
- Primary Decomposition
- Puiseux Expansion
- Singularities of Plane Curves
- Spectrum and V-Filtration
- Symbolic-Numerical Solving