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Research

Singularities

  • Algorithmic Desingularization:

    • Algorithms and Applications in Characteristic zero
    • Experiments and Phenomena in positive Characteristic
    • Regular and Canonical Models for Families of Curves over the Integers

  • Families of Calabi-Yau Varieties with Singularities
  • Classification and Invariants of Singularities

    • Complete Intersections
    • Cohen-Macaulay Case,
    • Determinantal Singularities

Applications of Gröbner Bases Methods

  • Geometric Questions arising from Group Theoretical Problems
  • Technical Applications