Scientific Activity
Invited Talks & Seminars
Optimal control problems for multi-agent systems: analysis from a Lagrangian and an Eulerian perspective. Journées SMAI MODE 2024. Lyon (France). March 2024.
Totally dissipative evolutions of probability measures. Workshop "Modeling, analysis, and control of multi-agent systems across scales". Pisa (Italy). January 2024.
Metric vs total dissipativity for measure differential equations. Workshop "Optimal Control Theory and Related Fields". Universidad Técnica Federico Santa Maria, Valparaíso (Chile). December 2023.
Well-posedness and representation results for dissipative measure differential equations. Workshop "Variational and Geometric Structures for Evolution". Levico Terme (Italy). October 2023.
Totally dissipative evolutions in Wasserstein spaces through a Lagrangian perspective. Workshop "The Mathematics of subjective probability". Università Milano-Bicocca (Italy). September 2023.
Buona positura e rappresentazione di soluzioni per evoluzioni dissipative in spazi di Wasserstein. XXII Congresso dell'Unione Matematica Italiana. Pisa (Italy). September 2023.
Lagrangian Approach to Totally Dissipative Evolutions in Wasserstein Spaces. 16th Workshop on Well-posedness of optimization problems and related topics. Borovets (Bulgaria). July 2023.
Dissipative measure differential equations in Wasserstein spaces. V-Encuentro de Optimización. Universidad Técnica Federico Santa Maria, Valparaíso (Chile). October 2022.
A variational approach to evolution equations driven by dissipative operators in Wasserstein spaces. 15th Viennese Conference on Optimal Control and Dynamic Games. Vienna University of Technology, Wien (Austria). July 2022.
A variational approach for dissipative evolutions in Wasserstein spaces driven by probability vector fields. SIAM Conference on Analysis of Partial Differential Equations - Happening Virtually (PD22). March 2022.
Dissipative evolutions in the space of probability measures. Workshop on "Recent Advances in Analysis, PDEs and Applications". Politecnico di Milano (Italy). December 2021.
Monotone evolution equations in Wasserstein spaces. Seminar for the cycle "Analyse, Phénomènes Stochastiques et Applications" at LMBA/UMR 6205. Université de Brest (France). November 2021.
Evolution equations in Wasserstein spaces driven by dissipative probability vector fields: a variational approach. Seminar for the "Differential Equations and Nonlinear Analysis Seminars" of North Carolina State University (Raleigh - USA). Online. September 2021.
Lagrangian, Eulerian and Kantorovich Formulations of Multi-agent Optimal Control Problems. 15th Workshop on Well-posedness of optimization problems and related topics. Borovets (Bulgaria). June 2021.
Evolution equations in Wasserstein spaces ruled by probability vector fields. 13th International Conference on Large-Scale Scientific Computations. Sozopol (Bulgaria). June 2021.
Evolution equations driven by dissipative operators in Wasserstein spaces. Seminar as part of the initiatives of the Analysis section at the Department of Mathematics of Politecnico di Milano (Italy). January 2021.
Nonlocal optimal control problems: Lagrangian and Eulerian formulations. Seminar for the cycle “Mathematics mini courses 2018-19”, University of Verona (Italy). April 2019.
Nonlocal optimal control problems: Lagrangian and Eulerian formulations. Workshop on “Control Theory and Applications", L'Aquila (Italy). March 2019 .
Problèmes de contrôle optimal non local à champ moyen. Seminar for the cycle “Séminaire Analyse Appliquée” at Université Aix-Marseille (France). February 2019 .
Mean field optimal control problems with sparsity constraints. Workshop “Recent Trends in Kinetic Modelling and Related Fields”, Politecnico di Torino (Italy). October 2018.
Some optimal control problems in Wasserstein spaces. Oberwolfach Seminar: "Optimal Transport Theory and Hydrodynamics (from Euler to Monge and vice versa)". Mathematisches Forschungsinstitute Oberwolfach (Germany). October 2018.
An optimal control problem with a sparsity constraint. 14th Viennese Conference on Optimal Control and Dynamic Games. Vienna University of Technology, Wien (Austria). July 2018.
An optimal control problem for multi-agent systems with a control sparsity constraint. Seminar for the group “Analyse, Phénomènes Stochastiques et Applications” at LMBA of Brest, Brest (France). April 2018.
A controlled evolution problem in Wasserstein spaces. XXVIII Convegno Nazionale di Calcolo delle Variazioni. Levico Terme (Italy). February 2018.
A sparse mean-field control problem. 12th International Young Researchers Workshop on Geometry, Mechanics and Control. Department of Mathematics “Tullio Levi-Civita”, University of Padova (Italy). January 2018.
Measure-theoretic approach for minimum-time problems for multi-agent systems. Talk as part of the Applied Mathematics Seminar. IMATI-CNR and Dipartimento di Matematica, University of Pavia (Italy). October 2017.
Time-optimal Control Problems in the Space of Probability Measures and the Superposition Principle. The IV AMMCS International Conference. Waterloo, Ontario (Canada). August 2017.
Control problems in the space of measures. Workshop "Frontiers of Interdisciplinary Mathematics". Penn State University, Pennsylvania (USA). May 2017.
Time-optimal Control Problems in the Space of Measures. Seminar for the cycle of seminars “Mathematics mini-courses 2016-17”. University of Verona (Italy). November 2016.
An HJB equation and regularity results for a time-optimal control problem in the space of probability measures. The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Orlando, Florida (USA). July 2016.
A time-optimal control problem in the space of probability measures. Seminar for the cycle of seminars “Differential Equations and Applications”. University of Padova (Italy). July 2015.
Time-optimal Control Problem in the Space of Probability Measures. 10th International Conference on Large-Scale Scientific Computations. Sozopol (Bulgaria). June 2015.
Time-Optimal Control Systems in the Space of Probability Measures. Workshop “Växjö-Trento (Sweden-Italy) afternoon on Control, Stochastic Processes and Financial Mathematics”. University of Trento (Italy). March 2015.
Posters
Some Sparse Mean Field Control Problems. Graduate Summer School: “Mean Field Games and Applications”. IPAM, Los Angeles (USA). June 2018.
Generalized control systems in the space of probability measures. NetCo 2014 Conference on New Trends in Optimal Control. Tours (France). June 2014.
Organization of Conferences
Two-day Workshop on Deterministic and Stochastic Control. Organizers: Giulia Cavagnari, Fulvia Confortola, Giuseppina Guatteri, Elsa Maria Marchini. Politecnico di Milano, Milan (Italy), 6–7 September 2022.
Workshop on “Optimal control and Mean field games”. Organizers: Giulia Cavagnari (University of Pavia, Italy), Stefano Lisini (University of Pavia, Italy), Carlo Orrieri (Sapienza University of Rome, Italy), Giuseppe Savaré (University of Pavia, Italy). Pavia (Italy), 19–21 September 2018.
12th International Young Researchers Workshop on Geometry, Mechanics and Control. Organizing committee: Francesco Fassò (University of Padova, Italy), Nicola Sansonetto (University of Verona, Italy), Antonio Marigonda (University of Verona, Italy), David Iglesias Ponte (University of La Laguna, Spain), Giulia Cavagnari (Rutgers University-Camden, USA), Marta Zoppello (University of Padova, Italy). Department of Mathematics “Tullio Levi-Civita”, University of Padova (Italy), 22–24 January 2018.
Projects & Fundings
Member of INdAM - GNAMPA Project 2024: “Controllo ottimo infinito dimensionale: aspetti teorici ed applicazioni”. Principal Investigator: Elsa Maria Marchini, Politecnico di Milano (Italy). 01/2024 - 12/2024.
Fund grant recipient for the INdAM-GNAMPA Call expiring 31/10/2023 – Visiting Professor Activity – to invite Prof. Cristopher Hermosilla (Valparaiso (Chile)) at Politecnico di Milano, for one week in march 2024.
Fund grant recipient for the INdAM-GNAMPA Call expiring 30/04/2023 - Participation in Conferences Schools and Workshops - for participation at the conference “Workshop on Optimal Control Theory and Related Fields - Valparaiso (Chile) - 02/12/2023 - 09/12/2023".
Principal Investigator of INdAM - GNAMPA Project 2023: “Metodi di mean field control e mean field game per la mobilità e lo sviluppo sostenibile”. 25/08/2023 - 30/04/2024.
Member of INdAM - GNAMPA Project 2023: “Metodi di mean field control e mean field game per la mobilità e lo sviluppo sostenibile”. Principal Investigator: Rossana Capuani, University of Tuscia (Italy). 01/05/2023 - 24/08/2023.
Principal Investigator of INdAM - GNAMPA Project 2022: “Evoluzione e controllo ottimo in spazi di Wasserstein". 05/2022 - 05/2023.
Participant of the MIUR-PRIN 2017 Project: “Gradient flows, Optimal Transport and Metric Measure Structures”. Scientific Responsible of the Pavia Research Unit: Giuseppe Savaré. National Scientific Coordinator: Luigi Ambrosio, SNS Pisa (Italy). 2019-2023.
Member of INdAM - GNAMPA Project 2019: “Optimal transport for dynamics with interaction” (“Trasporto ottimo per dinamiche con interazione”). Principal Investigator: Carlo Orrieri, University of Trento (Italy). 2019.
Participant of the MIUR-PRIN 2015 Project: “Calculus of Variations”. Scientific Responsible of the Pavia Research Unit: Giuseppe Savaré. National Scientific Coordinator: Luigi Ambrosio, SNS Pisa (Italy). 2018-2019.
Participant of the Cariplo-Regione Lombardia Project: “Variational Evolution Problems and Optimal Transport”. Principal Investigator: Giuseppe Savaré, University of Pavia (Italy). 2017-2018.
Member of INdAM - GNAMPA Project 2017: “Stochastic optimal control methods for the analysis of debt-management problems” (“Metodi di controllo ottimo stocastico per l’analisi di problemi di debt-management”). Principal Investigator: Antonio Marigonda, University of Verona (Italy). 2017.
Member of INdAM - GNAMPA Project 2016: “Stochastic Partial Differential Equations and Stochastic Optimal Transport with Applications to Mathematical Finance”. Principal Investigator: Luca Di Persio, University of Verona (Italy). 2016.
Member of INdAM - GNAMPA Project 2015: “Set-valued Analysis and Optimal Transportation Theory Methods in Deterministic and Stochastics Models of Financial Markets with Transaction Costs”. Principal Investigator: Antonio Marigonda, University of Verona (Italy). 2015.
Other Responsibilities
2023: Shadow reporter (“controrelatore”) of the Master’s degree thesis in Mathematical Engineering entitled “On existence of rotund Gâteaux smooth norms which are not midpoint locally uniformly rotund”. Student: Alessandro Preti, Politecnico di Milano (Italy). Advisor: Jacopo Somaglia. Co-advisor: Carlo De Bernardi.
2021 - present: Academic Responsible (with others) for the Erasmus Exchange Program for the B.Sc. and M.Sc. in Mathematical Engineering, Politecnico di Milano (Italy).
2020: Co-advisor of the Master’s degree thesis in Mathematics entitled “The Optimal Shepherd Methods of optimal transport in crowds control”. Student: Marta Mogentale, University of Verona (Italy). Advisor: Antonio Marigonda.
February 2018 - December 2019: Postdocs' representative in the Council of the Department of Mathematics of the University of Pavia (Italy).