Scientific results categorised by research area and listed in inverse chronological order (numbered item and date refers to the publication list page). (i) Classical vortex dynamics and fluid knots (ii) Quantum defects in superfluids and condensates (iii) Energy-complexity relations for magnetic fields (iv) Geometric and topological aspects of space curve kinematics (v) Topological dynamics of … Continue reading
Slides from the Ravello School on Mathematical Physics (2017) Topological interpretation of helicity Coherent structures and topological fluid mechanics Diffeomorphisms and topological equivalence Kinetic and magnetic helicity of flux tubes Gauss linking number Călugăreanu invariant and geometric decomposition Vortex knots dynamics and momenta of a tangle Localized Induction Approximation (LIA) and Non-Linear Schroedinger (NLS) equation … Continue reading
My work concerns the following thematic areas: Classical vortex dynamics and fluid knots; Quantum defects in condensates and topological phases; Energy-complexity relations for magnetic fields; Topological transitions of critical energy surfaces; Hydrodynamic analogue models in black hole theory. (i) Classical vortex dynamics and fluid knots Study of dynamical properties of three-dimensional vortex fields, and of … Continue reading
Current Collaborators Former Co-authors PhD Supervisor Thesis Supervisors MSc Advisors… Continue reading
Launch of the Association for Mathematical Research (AMR) A new world organization for the promotion of mathematical research and scholarship As founding member of The Association for Mathematical Research (AMR), I contributed to the launch (in November, 2021) of this new, non-profit, volunteer-based organisation, to support mathematical research and scholarship worldwide. This is done through a broad … Continue reading