I am a Professor of Mathematical Physics at University of Milano-Bicocca with research interests in classical field theory, dynamical systems (classical and quantum vortex dynamics, magnetohydrodynamics and structural complexity).
My work is in the field of applied mathematics and mathematical physics with focus on the role of geometric and topological properties of dynamical systems in relation with energy and structural complexity of fluid systems. My research interests regard the following thematic areas:
Books on Knotted Fields, Low-Dimensional Topology and Applications, Topological Fluid Mechanics, Geometric and Topological Aspects of Fluid Flows.
Work on relationships between energy and structural complexity of dynamical systems (vortex tangles, magnetic fields, defects, fluid surfaces) to establish relations between dynamical properties and energy contents by geometric and topological methods.
Undergraduate and Graduate courses given at University of Milano-Bicocca. Doctoral and Post-Doctoral courses given at Summer Schools in Italy and abroad.
My work is in the field of applied mathematics and mathematical physics of topologically complex fluid systems (see Research Interests).
Current research is focused on applications of geometric and topological methods to study morphological aspects of classical and quantum vortex tangles, magnetic fields, knotted and linked defects in quantum systems of hydrodynamic type with the aim to establish relations between fundamental properties of structural complexity and dynamical and energy aspects of such systems (see Current Projects).
Scientific research and international collaborations are promoted through the active organisation of advanced schools, meetings and long-term intensive research programmes in dedicated research centres and institutes (see Advanced Schools and International Programmes). Scientific results are published in primary journals in the field (see Publications) and disseminated through web-seminar and lectures freely accessible online.
August 2024
Published papers: 84 (in press: 2)
Google Scholar: h-index: 26, i10-index: 52, citations: 2834
ResearchGate: h-index: 24, reads: 16980, citations: 2332
MathSciNet: 233 citations by 173 authors
SCOPUS (69 items): h-index: 19, citations: 1277
ISI-Web of Science (67 items): h-index: 19, sum of times cited: 1441
Wikipedia: webpage entry
YouTube Channel: 54 items, 1045 subscribers, more than 18000 visualisations per single item
The Mathematics Genealogy Project: Erdős number: 3
More than 18.500 views on my 
channel for the graduate course Introduction to Topological Fluid Dynamics (2019).
The material presented on these web-pages is intended as a scientific resource for the private use of individual scholars. None of it may be used commercially, or for financial gain. Some of the material is protected by copyright. Requests for permission to make public use of any of the papers, or material therein, should be sought from the original publisher, or from Renzo Ricca, as appropriate. Any citation of papers listed on the ‘Publications’ sub-pages should refer to the original published version, and not to this web-site.
This site is not financially or technically supported or provided by any of the universities I am affiliated with, and it is not a university resource.
Renzo Ricca with his children Joël and Jolie at the Weizmann Institute of Science. In the background the Weizmann House.
Rehovot, December 2019.
Series of lectures on “Knots and Applications”. Accademia dei Lincei e Scuola Normale, February 2017.
Teaching
Ricca’s main research interests lie in applications of geometric and topological methods to fluid systems, such as vortex flows and magnetic fields forming knots, links and braids. Aspects of potential theory of knotted fields, structural complexity and energy of filament tangles are central to this research.
Events and activities
