My work develops a dynamical-systems and singularity-theory approach to general relativity and cosmology. The goal is to organize qualitative changes in Einstein–matter dynamics via normal forms, versal families/unfoldings, and transition varieties.

Core idea
Many gravitational models admit reduced dynamical systems (often constrained). Near degeneracies, a small set of normal forms and unfoldings controls the possible transitions. This provides a geometric “map” of regimes and robust pathways between them.

Selected directions

• Versal families and transition varieties in constrained GR reductions
• Bifurcation diagrams for spacetime singularities and black holes
• Horizon geometry and evolution (null hypersurfaces; crease flow)
• FRW/scalar-field cosmologies: synchronization phenomena and acceleration from folds
• Structural stability questions in GR and modified gravity

Collaboration
I am happy to discuss collaborations, short visits, and mini-courses/seminars on these themes.