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