Press Release and Science Dissemination

Launch of a new World Premier Institute in Japan A new international Institute for Sustainability with Knotted Chiral Meta Matter (SKCM2) is established at the University of Hiroshima Renzo Ricca is elected an Affiliate Member of SKCM2. According to the new institute’s mission and the words of its Director, Professor Ivan I. Smalyukh, SKCM2 aims … Continue reading

06/02/2022 Events & Activities

Books

Knotted Fields Knotted Fields. Edited by Renzo L. Ricca, Xin Liu (Springer Nature Switzerland, 2024), ISBN 978-3-031-57984-4. From the Preface: This book represents a unicum in the current panorama of edited volumes, collecting a series of notable contributions by some of the world experts in the modern area of Knotted Fields. Scope of the book … Continue reading

06/02/2022 Publications

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

06/02/2022 Video Lectures

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

06/02/2022 Video Lectures

Keynote Lectures and Webinars

The Modern Legacy of Tait’s Knot Theory November 14, 2025TTalk given at the Higgs Centre for Theoretical Physics of the University of Edinburgh. Click on  to watch this video Duration: 0:57:09 Summary of the talk A Topological Approach to Turbulence Cascade February 2, 2025Talk given at the “1st Online International Knot Theory Congress”. Click on  … Continue reading

06/02/2022 Video Lectures