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Deliverables
We plan to achieve the main objectives of the action through a theoretical approach.The obtained results will then be made available on open preprint servers and using open access policies of University of Siena with peer-reviewed international journals.
The innovative aspect of the methodology proposed in TopSing requires a strong effort to reach all the potentially interested research communities. It is indeed fundamental to define a precise strategy of effective communication to increase the internationalization and the interdisciplinarity of the action, which will be implemented starting from the outset and carried on until the completion of the project. Here I propose a concrete plan which is structured into six main points:• Constant interaction with external researchers. I would have regular discussions and meetings with researchers from different universities to find more people interested in our results. For example I would invite/visit mathematical experts like Lucia De Luca (CNR Rome), Francesco Solombrino (Naples), Matteo Focardi (Florence), Sergio Conti (Bonn), and Annika Bach (Eindhoven).• Discussions with engineers and numerical analysts. I will promote the interdisciplinarity of this project by including experts of other fields such as engineers and numerical analysts. In particular, after the completion of Objective 1, I would collaborate with Marco Gori (Siena) and the members of his research group like Stefano Melacci (Siena) and Alessandro Betti (Cote d’Azur) to implement our methodology to describe the phenomenon of optical flow. Moreover I would complement our results with simulations, thus favouring the dissemination among other scientific communities.• Publications of the outcomes. Results will be made available, not only through preprints on open websites like the preprint-servers arxiv.org and cvgmt.sns.it, but also on high-level scientific journals thanks to the open access policies of the University of Siena.• Seminars and participation at conferences/schools. I will take part to international events, in which I would have the opportunity to communicate the objectives and the outcomes, both through discussions with other scientists and by giving talks. For example I plan to participate to the Italian Congress on Calculus of Variations in Levico in February 2025, the Summer School on Calculus of Variations at La Sapienza in Rome in June 2025, and the Annual Meeting of the GAMM or of their activity groups in Germany in April 2025.• Organisation of workshops. With part of the budget of the MSC grant I would organise two workshops of 3 days each, one at the middle of the first year and one at the end of the second, to gather experts in the Mathematical and Engineering community. In these 3 days I would alternate seminars to brain storming sessions to favour exchange of ideas and new collaborations. I would also leave some space to young researchers by organising a poster session. Moreover, I plan to organise minisymposia at international conferences such as the Annual Congress of the SIAM and the Annual Meeting of the GAMM.• Scientific information. Exploiting the programs of educations founded by Piano Nazionale Ripresa e Resilienza and Progetto Lauree Scientifiche Matematica, the events European Researcher’s Night, Career’s Day and infodays organised by APRE and EC at University of Siena, I could reach a broader audience such as students and teachers of highschools by offering lectures on a basic level in which I could explain the Plateau problem by showing pictures of soap bubbles and theory of dislocations with the classical experiments by Volterra.
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