Knots and Applications: An Elementary Introduction
(3 lectures, in Italian; 2017) Lecture 1: An Intuitive Approach Lecture 2: When Topology Meets Geometry Lecture 3: From Gauss coding to Modern Tabulation… Continue reading
An Introduction to Topological Fluid Dynamics
(7 lectures; 2018) Lecture 1: Fundamentals of Fluid Flows and Kinematic Transport Theorem Lecture 2: Conservation of Linear Momentum and Decomposition of Fluid Flows Lecture 3: Circulation and Vorticity Transport Equation September 26, 2018 Click on to watch this video Duration: 1:31:26 Summary of the talk Lecture 4: Helmholtz’s Conservation Laws and Kinetic Helicity September … Continue reading
Seminars at International Meetings and Conferences
On Quantum Vortex Knots and Links Defect Production by Phase Twist Injection as Aharonov-Bohm Effect Minimal Unlinking Pathways as Geodesics in Polynomial Space Quantum Vortex Dynamics by Seifert Surface Information Vortex knots cascade by HOMFLYPT polynomial On the Energy Spectrum of Magnetic Knots and Links Impulse of Vortex Knots from Diagram Projections On Călugăreanu’s Theorem… Continue reading
Keynote Lectures and Webinars
Topological Hydrodynamics and Knotted Field September 21, 2026Talk given at the Simons Centre for Geometry and Topology. Click on to watch this video Duration: 0:52:31 Summary of the talk A Topological Approach to Turbulence Cascade September 16, 2026Lecture given at the Simons Centre Workshop on “Physics and Mathematics of Turbulence in Different Media” Click on … Continue reading
Current Projects
(i) Structural complexity and dynamical systems Relationships between dynamical features and evolution of complex fluid systems such as vortex tangles and magnetic fields in terms of geometric, algebraic and topological information. Aims: to establish relations between dynamical aspects and morphological information by analytical means. (ii) Energy lower bounds on magnetic knots and links Identification of … Continue reading