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
Introduction This is an elective course of the Master Degree in Mathematics, and it contributes to the educational training in Mathematical Physics. All lectures are given in English, and they are delivered during the second semester of each academic year, from March to June. It consists of 5 hours per week of front lectures, accounting … Continue reading
Struttura Il corso si suddivide in due parti (13 CFU in totale): Obiettivi dell’insegnamento di Matematica Fornire concetti e tecniche matematiche di base su: calcolo vettoriale, calcolo matriciale, autovalori e autovettori, comportamento asintotico e studio di funzioni, derivazione, integrazione, sviluppo in serie di potenze di funzioni elementari, integrazione di equazioni differenziali elementari. Programma dell’insegnamento di … Continue reading
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
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
(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
(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