Optimal Transport Problems and the related Wasserstein Distance are becoming ubiquitous tools in several applied fields. My research is about understanding the properties of the solutions and finding meaningful applications accordingly.

Defining mechanisms that force self-interested agents to behave truthfully is a key and essential task in our ever-growing world. Therefore determining the Nash-Equilibria of the mechanism induced by an allocation algorithm is of key importance. Of particular interest are the scheduling mechanisms and the related Nisan-Ronen conjecture.

Vuza Canons are peculiar metric structures that represent melodies without internal repetitions or superposition of voices. These structures have a simple mathematical interpretation that still yields many open problems, such as determining whether the Coven-Mejerowitz conjecture is true or not.

In this field, my main interest lays in defining new dynamic notions of fairness by using classic migration models. Of particular interest is the load shedding problem.

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