Anne Frühbis Krüger

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