Ricca's main research interests lie in potential theory, ideal fluid dynamics, particularly as regards geometric and topological aspects of vortex flows and magnetic fields forming Newton Institute for Mathematical Sciences ( Cambridge, UK ), followed by a CIME summer school under the auspices of the Italian Mathematical Union ( UMI ), and in 2011 a 3-month program on knots and applications, held at the Ennio De Giorgi Mathematical Research Centre of the Scuola Normale Superiore in Pisa.
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