## 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 M
(G. Gaeta principal investigator, U. Milano).^{2}×D^{2} |

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. |