ERC Consolidator Grant · 2025
A singularity of a geometric object, such as an equation, variety, foliation, morphism, etc, is, loosely speaking, a point with non-trivial local behavior. In geometry, analysis, algebra, physics, among other sciences, their occurrence is unavoidable. Resolution of singularities is one of the most successful techniques to study singular points of an algebraic equation. Arguably, Hironaka's proof of the existence of RS for algebraic varieties over a field of characteristic zero stands as one the greatest achievements of algebraic geometry in the previous century. Extending the technique of resolution of singularities to objects of interest to differential geometry and dynamical systems, such…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.