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
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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
A Topological Approach to Turbulence Cascade February 2, 2025Talk given at the “1st Online International Knot Theory Congress”. Click on to watch this video Duration: 0:39:36 Summary of the talk Quantum Versus Classical Vortex Dynamics Quantum Vortex Knots and Links under Zero Helicity Condition A Topological Route to Superfluid Turbulence On the Energy and Helicity … Continue reading
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