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Knowledge is not made of isolated watertight compartments. Today, the most innovative ideas originate from the contamination between different fields. In the 60s, the great mathematician Alexander Grothendieck introduced the fundamental notion of topos. Toposes can be effectively used as ‘bridges’ for relating different mathematical theories to each other and studying them from a multiplicity of points of view. Thanks to the power of abstraction, seemingly distant theories and concepts can be related, originating new perspectives and unprecedented solutions. Olivia Caramello explains us the general idea of a ‘bridge object’, as it has been inspired by her work in topos theory.
At the age of 19, she graduates in Mathematics and achieves to get her Piano Diploma. A few years later Olivia obtained her Ph.D. in Mathematics at Trinity College in Cambridge. She has worked at prestigious institutions such as the University of Cambridge, the “Scuola Normale di Pisa”, the Max Planck Institute for Mathematics in Bonn, the University of “Paris 7” and the “Institut des Hautes Études Scientifiques”. She is the author of numerous research articles and has held more the one hundred International seminars. She won the position "Rita Levi Montalcini" - a program funded by MIUR to encourage the return of Italian researchers abroad - and has chosen the University of Insubria as her headquarters. This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at www.ted.com/tedx