Contacts
Department of Mathematics & Applications
University of Milano - Bicocca
Via Cozzi, 55
20125 Milano, Italy

Building U5, III floor, Room 3065

Email: renzo.ricca@unimib.it
Direct line: (+39) 02 6448 5762
Department: (+39) 02 6448 5755
Fax: (+39) 02 6448 5705

Curriculum Vitae

May 2017

Renzo Luigi RICCA

Office Address
- Department of Mathematics and Applications, University of Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy.
- Telephone (direct line): +39.02.6448 5762. Fax: +39.02.6448 5705.
- Electronic mail: renzo.ricca@unimib.it . URL: http://www.matapp.unimib.it/~ricca .
Education
Ph.D. (16.07.1994). Trinity College, U. Cambridge. Title: Geometric and topological aspects of vortex filament motion. Supervisor: Professor H.K. Moffatt.
M.Sc. (10.10.1990). Trinity College, U. Cambridge. Advisor: Professor H.K. Moffatt.
Laurea (21.12.1988). Politecnico di Torino. Advisors: Professors M. Germano and M.G. Rasetti.
Appointments
2004 - to date Professor of Mathematical Physics (Tenured), U. Milano-Bicocca.
1998- 2003 Senior Research Fellow and Lecturer, University College London.
1993- 1995 University Researcher, Politecnico di Torino.
1992- 1997 Research Assistant and Fellow, University College London.
Visiting Positions
2016- 2018 BJUT Guest Professor, Beijing-Dublin International College, Beijing University of Technology.
2008 (May) Visiting Professorship, U. Nice Sophia-Antipolis.
2005- 2007 Senior Visitor, DAMTP, University of Cambridge.
2003- 2004 Visiting Professor, University College London.
2002- 2003 Visiting Professor, École Normale Superieure, Paris.
2001 (October-November) JSPS Visiting Fellow, Kyushu University.
2000 EPSRC Senior Research Fellow, Isaac Newton Institute for Mathematical Sciences, Cambridge.
1997- 1998 Senior Scientist, ISIS, EC-Joint Research Centre, Ispra.
1996 (March) 1997 (June-July), 2000 (March-July), Visiting Professor, Department of Mathematics, University of Geneva.
1992 Visiting Scientist, Institute for Advanced Study, Princeton.
1991 Research Affiliate, Institute for Theoretical Physics, University of California at Santa Barbara.
1989- 1992 Research Associate, DAMTP, University of Cambridge.
International Recognition and Awards
(i) Awards and Distinctions
2013 Italian National Scientific Habilitation - Full Professorship, Sector 01/A4. MIUR, Italian Ministry of Education, Italy.
2008- 2009 Erasmus Visiting Professorship, U. Nice Sophia-Antipolis.
2007- 2008 Lagrange Senior Fellowship, Institute for Scientific Interchange & CRT Foundation, Villa Gualino, Torino, Italy.
2003- 2007 "Brain Gain" Program Scholarship ("Incentivazione alla mobilità di studiosi stranieri e italiani residenti all'estero"), Italian Ministry of Education, Italy.
2001 JSPS Invitation Fellowship, Japan Society for the Promotion of Science, Japan.
1991 J.T. Knight Prize (Mathematics). University of Cambridge.
1989- 1992 ASP Research Fellowship, ASP, Turin, Italy.
(ii) Scientific Boards and Panels
2016- to date Member, Scientific Editorial Board, Nature Scientific Reports, Nature-Springer.
2016- to date Member, International Scientific Committee, IUTAM Symposium "Vortex Dynamics in Science, Nature and Technology", La Jolla, January, 2018.
2016- to date Reviewer, Zentralblatt MATH (EMS, Heidelberg Acad. Sci., FIZ Kalsruhe), Berlin, Germany.
2014- 2016 Chairman & Principal Organizer, Intnl. Scientific Committee and LOC, IUTAM Symposium "Helicity, Structures and Singularity". Venice, 2016.
2011- 2013 Member, International Scientific Committee, IUTAM Symposium "Vortex dynamics: Formation, Structure and Function", Kyushu, April, 2013.
2012- 2012 Reviewer, Coordination and Support Action, FET-Open Scheme, European Commission, Brussels.
2009- 2011 Member, Advisory Board, Newton Institute for Mathematical Sciences. Cambridge (UK).
(iii) Entries in Biographical Records
2006- to date Outstanding Scientists of the XXI Century. Intnl. Biographical Centre, Cambridge, UK.
2004- to date Who's Who in Science & Technology. Marquis Pubs., New York, USA.
2002- to date Who's Who in the World. Marquis Pubs., New York, USA.
2008 Man of the Year in Science. American Biographical Institute, Raleigh, NC, USA.
(iv) Membership to Learned Societies
New York Acad. Sci. (1998), EUROMECH (1996), AMS (1996), UMI (1994), LMS (1990).
Organization and Direction of International Programs
(i) Long-Term Programs
2011 (May-July) Knots and Applications. 3-month program, Scientific Director and Principal Organizer. Mathematics Research Centre "Ennio De Giorgi", Scuola Normale Superiore, Pisa.
2000 (September-December) Geometry and Topology of Fluid Flows. 4-month, Program Organizer. Isaac Newton Institute for Mathematical Sciences, Cambridge.
(ii) Summer Schools, Workshops and International Conferences
2016 (April) Helicity, Structures and Singularity in Fluid and Plasma Dynamics. IUTAM Symposium. Chair and Principal Organizer. Istituto Veneto di Scienze Lettere ed Arti, Venice.
2011 (July) Topological Dynamics in Physics and Biology. Workshop. Principal Organizer and Chair. Mathematics Research Centre "Ennio De Giorgi", Scuola Normale Superiore, Pisa.
2011 (July) Knots and Links: from Form to Function. ESF-EMS-CRM Conference Principal Organizer and Chair. Mathematics Research Centre "Ennio De Giorgi", Scuola Normale Superiore, Pisa.
2011 (May) Knots and links: from theory to applications. Pedagogical School. Principal Organizer and Chair. Mathematics Research Centre "Ennio De Giorgi", Scuola Normale Superiore, Pisa.
2011 (June) Topological Fluid Mechanics. CIME Summer School Scientific Director. International Mathematical Summer Center, CIME Foundation, UMI, Italy.
2000 (October) LMS Spitalfields Days: In Search of the Ideal Knot. Organizer. Isaac Newton Institute for Mathematical Sciences, Cambridge.
2000 (September) Pedagogical Workshop on the Geometry and Topology of Fluid Flows. NATO-ASI Scientific director. Isaac Newton Institute for Mathematical Sciences, Cambridge.
1996 (May) UK-MHD Meeting. Meeting organizer. University College London.
Invited Lectures at International Conferences and Meetings
(i) Plenary Talks/Keynote Lectures
2017 (June) Influence of winding number on vortex torus knot dynamics. IUTAM Symposium on "Dynamics and Topology of Vorticity and Vortices", Carry-le-Rouet, France.
2016 (September) Vortex knots cascade by HOMFLYPT polynomial. Workshop on "Knots and Links in Biological and Soft Matter Systems", ICTP, Trieste.
2016 (July) Knots cascade detected by a monotonically decreasing sequence of HOMFLYPT values. Intnl. Conf. on "Knots, Low Dimensional Topology & Applications – Knots in Hellas 2016", IOA, Ancient Olympia, Greece.
2016 (July) Vortex knots cascade by HOMFLYPT polynomial. XI AIMS Int. Conf. "Dynamical Systems, Diff. Equations and Applications – Session on Vortex Dynamics", Orlando, FL.
2016 (June) Vortex knots cascade by HOMFLYPT polynomial. "EUROMECH Colloquium 581", Institute of Thermophysics SB RAS, Novosibirsk, Russia.
2015 (September) Geometric daemons in topological dynamics. IMRA Meeting on "Geometry and Biophysics", Strasbourg, France.
2015 (August) HOMFLYPT polynomial for vortex knots and cascade process. Workshop on "Knots in Theory and Science", Basel, Switzerland.
2015 (June) From magnetic helicity to energy-complexity relations for solar loops. IRF-MSB project meeting "Forecast and Warnings of Extreme Storms at the Sun", Lund, Sweden.
2015 (April) From helicity to the HOMFLYPT polynomial of fluid knots and links. Intnl. Conference "Knots and Links in Fluid Flows", Moscow Independent U., Moscow.
2014 (September) Groundstate energy and topological complexity of magnetic knots. Intnl. Meeting "Knots in Soft Condensed Matter", Vienna, Austria.
2014 (June) Writhe helicity conservation under anti-parallel reconnection. ESF Workshop "Reconnection Events in Classical, Quantum and Magnetized Fluids", Glasgow University, UK.
2014 (June) From “multiple continuity” to modern topological field theory. Int. Meeting "Riemann, Topology and Physics", U. Strasbourg, France.
2014 (March) Relaxation of magnetic knots to braids and groundstate energy minima. Int. Conf. "CAKE", Max Planck Institut Leipzig, Germany.
2013 (November) Knot polynomials as new tool for turbulence research. Int. Conf. "Turbulence & Wave Processes", Lomonosov Moscow State University, Russia.
2013 (March) The Jones polynomial as a new invariant of fluid dynamics. IUTAM Symposium on "Vortex Dynamics: Formation, Structure and Function", Fukuoka, Japan.
2012 (December) On the energy spectrum of knots and links. "Quantized Flux in Tightly Knotted and Linked Systems", Cambridge, UK.
2012 (October) Topological bounds on the energy and complexity of magnetic fields. "Tangled Magnetic Fields in Astro- and Plasma Physics", Edinburgh, UK.
2012 (September) Tackling fluid tangles complexity by knot polynomials. "Int. Symp. On Complex Systems", ICNAAM 2012, Kos, Greece.
2012 (July) Impulse of vortex knots from diagram projections. IUTAM Symposium on "Topological Fluid Dynamics", Cambridge, UK.
2012 (June) Recent progress in topological fluid dynamics: from helicity to Jones polynomials. Mini-programme on "Knotted Fields". Kavli Institute for Theoretical Physics, UC Santa Barbara, USA.
2012 (March) Tackling structural complexity in vortex dynamics. Intnl. Conf. "Vortices and solitons in classical and quantum fluids", CIRM, Marseille, France.
2011 (September) Energy-complexity relations by structural complexity methods. "Int. Symp. on Complex Systems", ICNAAM 2011, Halkidiki, Greece.
2011 (July) On the groundstate energy spectrum of magnetic knots. ESF-EMS-ERCOM Intnl. Conf. "Knots and Links: from Form to Function". Ennio De Giorgi Mathematics Research Centre, Scuola Normale Superiore, Pisa.
2010 (June) Topological dynamics by structural complexity analysis. "6th Intnl. Conf. on Dynamical Systems and Applications", Antalya, Turkey.
(ii) Contributions to International Programmes and Advanced Schools
2017 (June) 6 Tutorials, Contemporary Aspects, Overview and Outlook on Knots: International Early Summer School. Freiburg, Germany.
2014 (September) 1 Lecture, Summer School on Finsler Geometry with Applications. Samos Island, Greece.
2012 (September) 6 Lectures, IAR School on “Fluid Mechanics and Magnetohydrodynamics”. ITAP, Marmaris, Turkey.
2011 (May) 6 Lectures, Pedagogical School on “Knots and Links: From Theory to Applications”. Ennio De Giorgi Mathematical Research Centre, Scuola Normale Superiore, Pisa.
2007 (September) 1 Lecture. Summer School on "Meeting Mathematics and Physics". MatNet & U. Bergamo, San Pellegrino, Italy.
2001 (June) 5 Lectures. CIME Summer School on "Topological Fluid Mechanics". Unione Matematica Italiana, Cetraro, Italy.
2000 (June) 3 Lectures. Summer School on "Geometric and Topological Methods in Dynamical Systems". University of Bourgogne, Dijon, France.
1998 (September) 4 Lectures. EC Summer School on "Turbulence and Applications". Landau Network and EC-JRC Ispra, Centre "A. Volta", Como, Italy.
1996 (May) 4 Lectures. Summer School on "Vortex and Flux Tubes: Observations, Stability, Topology". Observatoire de la Côte d'Azur, Nice, France.
1995 (December) 2 Lectures. Workshop on "Mathematical Methods in Materials Science". IAC-CNR, Rome, Italy.
1995 (May) 3 Lectures. Workshop on "Geometry and Topology in Low Dimensions". Scuola Normale Superiore and University of Pisa, Italy.
(iii) Contributions to Special International Events
2014 (May) Participation in "Geometrical Aspects of Hydrodynamics" workshop, Simon Center for Geometry and Physics, Stony Brook (NY), USA.
2012 (September) Public Panel Discussion on Complex Systems. "Int. Symp. On Complex Systems", ICNAAM 2012, Kos, Greece.
2012 (June) Open discussion on Calugareanu-White-Fuller theorem. Mini-programme on "Knotted Fields". Kavli Institute for Theoretical Physics, UC Santa Barbara, USA.
2005 (April) Magnetic knots and minimal braids. "Turbulence, Twist and Treacle - Meeting in Celebration of 70th Birthday of H.K. Moffatt". Isaac Newton Institute, Cambridge, UK.
2003 (November) Energy-complexity relations for vortex flows. Colloquium in Honor of J.J. Moreau, Laboratoire de Méchanique et Genie Civil, U. Montpellier II.
2000 (May) From Kelvin vortex knots to turbulence. "IMA World Mathematical Year Millennium Event". The Institute of Mathematics and Its Applications, London.
(iv) Contributions to Meetings of Learned Societies
2009 (March) Topology bounds the energy of knots and links. Edinburgh Mathematical Society meeting, Dundee, UK.
(v) Regular Contributions
2011 (June) Topological dynamics by structural complexity methods. Workshop on "Topology in Fluid Flow Visualization". Ennio De Giorgi Mathematical Research Centre, Scuola Normale Superiore, Pisa.
2011 (May) From Gauss' derivation of linking number to its role in modern topological dynamics. Workshop on "Entanglement and Linking". Ennio De Giorgi Mathematical Research Centre, Scuola Normale Superiore, Pisa.
2010 (May) New lower bounds on the energy of knots and braids. "8th AIMS Conference on Dynamical Systems, Differential Equations and Applications", Special Session on "Magnetohydrodynamics: Mathematical Problems and Astrophysical Applications", Dresden, Germany.
2010 (May) Vortex dynamics estimates by structural complexity analysis. "8th AIMS Conference on Dynamical Systems, Differential Equations and Applications", Special Session on "New Trends in Mathematical Fluid Dynamics", Dresden, Germany.
2009 (May) Topology bounds the energy of knots and links. Intnl. Conf. on "Knots and Applications", ICTP, Trieste, Italy.
2008 (September) On the groundstate energy of knotted magnetic flux tubes. "EURO MHD 2008". Nice, France.
2008 (May) Detecting structural complexity: from visiometrics to genomics and brain research. "MathKnow08". Politecnico di Milano, Italy.
2008 (April) From Da Rios' equations to integrable vortex dynamics. "II Workshop on Nonlinearity & Geometry: Darboux Days". Bedlewo, Poland.
2006 (March) Twist and fold modeling of supercoiled filaments. "Knots and Macromolecules". Istituto Veneto di Scienze, Lettere ed Arti, Venice, Italy.
2005 (September) Measures of structural complexity for vortex flows. "Singularities, coherent structures and their role in intermittent turbulence". Department of Mathematics, University of Warwick, UK.
2005 (June) From vortex rings, to knots and links. "Vortex Rings and Filaments in Classical and Quantum Systems". International Center Theoretical Physics, Trieste, Italy.
2002 (July) On Kelvin's vortex knots. Workshop on "Geometry, Symmetry and Mechanics". Department of Mathematics, University of Warwick, UK.
2001 (December) In search of symmetries in magnetic knots. Symposium on "Geometric Mechanics and Symmetry". Department of Mathematics, University of Warwick, UK.
2001 (January) From fluid knots to complex systems. MAA "Knots in Science". MAA-AMS Joint Mathematics Meetings, New Orleans, USA.
2000 (November) Asymptotic potential theory for slender tubes, intrinsic kinematics and minimal surfaces. "BRIMS Day". Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
2000 (October) A history of Kelvin's vortex knots. "Spitalfields Day". Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
1998 (August) Topological ideas in vortex dynamics. Conference "Knots in Hellas '98". Delphi, Greece.
1997 (June) Inflexional disequilibrium of elastic and magnetic knots. Workshop on "Mathematics and Mechanics for Materials Science and Molecular Biology". Capri, Italy.
1995 (June) Inflexional disequilibrium of elastic and magnetic knots. Workshop on "Mathematics and Mechanics for Materials Science and Molecular Biology". Capri, Italy.
1994 (May) The Calugareanu invariant in topological fluid mechanics. Conference on "Romania and Romanians in Contemporary Science". Sinaia, Romania.
1990 (June) Invariants of the Da Rios-Betchov equations. Symposium on "Generation of Large-Scale Structures in Continuous Media". Perm, Soviet Union.
Other Contributions to Meetings
(i) Lectures and Oral Contributions at International Conferences
2009 (August) Topology bounds the energy of knots and links. "XVI ICMP". Prague, Check Republic.
2007 (July) A new Stretch-Twist-Fold model for fast dynamo. "ICIAM '07". Zürich, Switzerland.
2006 (January) Twist and fold modeling for DNA supercoiling. I FIMA Int. Conf. "Models and Methods for Human Genomics". Champoluc-Ayas, Italy.
2005 (August) Linear and angular momentum of a vortex tangle. "High Reynolds Number Vortex Interactions". Tolouse, France.
2003 (June) Energy-complexity relations for vortex flows. "Fluxes and Structures in Fluids". Saint Petersburg, Russia.
2002 (July) Measuring structural complexity of fluid flows. "Fundamentals of Vortices, Convection and Turbulence in Rotating Flows". Dpt. Mech. Eng., University College London.
2000 (August) Relaxation of magnetic knots. "XVI IMACS World Congress". Lausanne, Switzerland.
(ii) Science Outreach
2017 (February) Knots and Applications. "La Matematica nel Mondo Contemporaneo". Accademia dei Lincei, Scuola Normale Superiore, Pisa, Italy.
2016 (June) Complexity measures by HOMFLYPT polynomial. "Nodi da Matematico". Department of Mathematics and Physics, U. Cattolica, Brescia, Italy.
2012 (October) From the theory of knots to the topology of chaos. "I Mercoledi della Scienza". Fondazione di Piacenza e Vigevano, Piacenza, Italy.
2007 (October) Detecting structural complexity by computational fluid dynamics - Round Table. "CAPI2007". CILEA, Politecnico di Milano.
2006 (February) Modern developments in mathematical biology. "Mathematical Modeling and Systems Biology". Canavese Bio-industry Park, Ivrea, Italy.
Fund-Raising and Research-Related Activities
(i) Funded Research Projects
2016 Natural Science Foundation of China (NSFC) Grant N. 11572005 Topoilogical Fluid Mechanics (X. Liu principal investigator, BDIC, BJUT).
2010 INdAM-ESF funding towards Intensive Research Trimester Knots and Applications (principal applicant and organizer, U. Milano-Bicocca).
2006- 2010 MIUR COFIN 2006-PRIN Project: Geometric Methods in the Theory of Non-Linear Waves and Applications (B.A. Dubrovin principal investigator, SISSA-Trieste).
2004 - 2006 MIUR COFIN 2004-PRIN Project: Mathematical Models for DNA Dynamics M2×D2 (G. Gaeta principal investigator, U. Milano).
2003- 2007 MIUR Research Project: Measures of Complexity and Energy for Fluid Systems (principal investigator, U. Milano-Bicocca).
2001- 2004 The Royal Society of London, Joint Research Project: Physical Knots (principal investigator, U. Lausanne).
2000 London Math. Society, Collaborative grant: Vortex Knots in Ideal Fluids (X. He principal investigator, U. Warwick).
1998- 1999 Swiss National Science Foundation, Project: Knot Theory and Applied Topology (C. Weber principal investigator, U. Geneva).
1998 PPARC, Project: The Energy and Topology of Coronal Magnetic Fields (M.A. Berger principal investigator, UCL).
1997 UK-USA NSF, Project: Topology in Heliosphere (A. Ruzmaikin principal investigator, JPL, Pasadena).
1994 The Leverhulme Trust, Project: Energetic and Topological Aspects of Magnetic Field Structures (M.A. Berger principal investigator, UCL).
1994 PPARC, Project: The Structure and Energy of Coronal Magnetic Fields (M.A. Berger principal investigator, UCL).
(ii) Research Assessment and Peer Refereeing
- Assessor/reviewer of grant proposals and projects: NSF (USA), EPSRC (UK), EC-FET (EU).
- Referee for primary journals: Nature Sci. Rep., J. Fluid Mech., J. Knot Theory Ram., Phys. Rev. Lett., Proc. R. Soc. A, Phys. Rev. E, and others.
- Referee for scientific publishers: Imperial College Press (London, UK).
- Reviewer for scientific journals: Mathematika.
Teaching and Examination
(i) Doctorate Courses (III level)
2009(Winter) "An Introduction to Topological Magnetohydrodynamics", Laboratoire J.A. Dieudonné, U. Nice Sophia Antipolis.
2008 (Spring) "Geometric and Topological Vortex Dynamics", Laboratoire J.A. Dieudonné, U. Nice Sophia Antipolis.
2008 (Spring) "Physical Applications of Knot Theory", Department of Methods and Models for Mathematics, U. Rome "La Sapienza".
2006 (Spring) "Physical Applications of Knot Theory", Department of Mathematics, Politecnico di Torino.
2005 (Spring) "Elements of Topological Fluid Mechanics", Department of Mathematics and Applications, U. Milano-Bicocca.
2002 (Spring) "An Introduction to Geometric and Topological Magnetohydrodynamics", Department of Advanced Science and Technology, U. Piemonte Orientale.
2001 (Spring) "Seven Lectures on Topological Fluid Mechanics" Research Institute for Mathematical Sciences, Kyoto University (also at Osaka City U., Nagoya U., Tokyo U., RIMS-Kyoto and NIFS-Toki).
2000 (Spring) "Geometric and Topological Aspects of Fluid Dynamics", U. Geneva.
(ii) Graduate Courses (II level)
2015- to date Mathematical Methods for Modern Physics, U. Milano-Bicocca.
2009-2011 Applied Mathematics (BioInformatics), U. Milano-Bicocca.
2004-2008 Physical Theories and Mathematical Models, U. Milano-Bicocca.
2003 Mathematical Methods III (M241), UCL.
1994-1998 Mathematical Methods (Hydrogeology), University College London.
1995 (April) Geometric Methods in Fluid Mechanics. Scuola Normale Superiore, Pisa.
(iii) Undergraduate Courses (I level)
2008- to date Mathematics (Biology), U. Milano-Bicocca.
2008-2011, 2013 Mathematics II (Chemistry), U. Milano-Bicocca.
2010-2012 Mathematical Models and Differential Equations, U. Milano-Bicocca.
2003 Elementary Mathematics (A1A), UCL.
2002 Mathematics (B51B, Economics, Statistics), UCL.
1997-1998 Mathematics (A3, Physical Sciences), UCL.
1997-1998 Mathematical Methods (B6, Chemistry), UCL.
(iv) Supervision and Examnination of Ph.D. and M.Sc. Projects
PhD research students: 1. Francesca Maggioni (2004-2006); 2. Chiara Oberti (2011-2015); 3. Franz Schlöder (2016-to date); 4. Matteo Foresti (2016-to date).
PhD examinations: S. Candelaresi (NORDITA, Stockholm U., 2012), J.N. Hartnack (Technical U. Denmark, 1999).
MSc/BSc projects and examinations: more than 50 students to date.