Reconnection of two vortex ring defects Flight of a vortex loop from the reconnection of two vortex ring defects Topological cascade of a Hopf link of vortex defects to unlinked loops Topological cascade of the minimal surface of a link of vortex defects Head-on collision of two anti-parallel vortex ring defects Topological collapse of a … Continue reading
• Knots and Their Interdisciplinary Applications (4 Lectures: 2026) Lectures given for the Oberwolfach Seminar held at the Oberwolfach Mathematical Institute (MFO). • Helicity, Energy and Reidemeister Twist Move (2 Lectures: 2025) Lectures given for the Master course in “Theoretical Physics” held at the Beijing University of Technology (BJUT). • Magnetic Helicity, Ampère’s Theorem and … Continue reading
(5 lectures; 2023) Lecture 1: Kelvin’s Topological Vortex Dynamics Lecture 2: Helicity and Linking Numbers Lecture 3: From Linking Numbers to Vortex Torus Knots Lecture 4: De-Singularisation of the Biot-Savart Law and Vortex Reconnection Lecture 5: On Vortex Reconnection and Topological Cascade of Vortex Knots… Continue reading
Review Talks, Webinars and Short Communications • Keynote lectures and webinars Keynote presentations and webinars on new advancements and progress in the field. • Seminars at international meetings and conferences Short communications of new results at special thematic sessions. Click on to visit and subscribe to my YouTube Channel!… Continue reading
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