BSc MSc Dr Sc
Francesco works in the field of group theory, which is the language that mathematicians use to talk about symmetry. His research lies at the interface between algebra, geometry, topology and dynamics.
Francesco did his Bachelors at EPFL in Lausanne, and his Masters and PhD at ETH in Zurich, Switzerland. In Cambridge, he will hold the Herchel Smith Fellowship at the Department of Pure Mathematics and Mathematical Statistics, as well as the Henslow Fellowship of the Cambridge Philosophical Society at Wolfson College.
Francesco studies groups: the algebraic objects that describe symmetries in mathematics. Despite being defined algebraically, groups appear in all areas of mathematics, especially in geometry, topology, and dynamics. A useful way to understand groups is by realising them as symmetries of objects that are somewhat easier to understand or visualise. This approach is called geometric group theory, and it describes the flavour of Francesco's research. More concretely, his work can be summarised in two areas. On the one hand, bounded cohomology, and its applications to geometric topology and rigidity theory. On the other hand, metric approximations of groups and their stability.
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