Keywords: Supersymmetric Quantum Field Theories, Supersymmetric Localization, Generalized Symmetries.

My research interests focus on various aspects of (supersymmetric) quantum field theories (S)QFTs, including the exact computation of certain observables via supersymmetric localization and the study of non-invertible symmetries. 

Supersymmetric Localization: this technique allowed to derive observables in SQFTs exactly, also taking into account non perturbative contributions, and it made it possible to test already known dualities, as AdS/CFT, while also providing the tools to discover new non perturbative dualities. An aspect that I find very fascinating is the connection between SQFTs on curved backgrounds and invariants of four-manifolds, originating from Witten's work on topologically twisted super Yang-Mills.

Non Invertible Symmetries: the modern framework to understand symmetries in QFTs associates to each symmetry a topological defect in the theory, and vice versa. Given that non-invertible defects exist, it is a natural expectation that symmetries not admitting an inverse are allowed. This, for instance, led to a new understanding of chiral symmetries, which suffer from ABJ anomalies, as non-invertible symmetries.

• Math. Dept.