Keywords: String Theory, Quantum Field Theory, Holography, Supersymmetric Localization, Integrability.

I am a mathematical physicist working in the context of quantum field theory, general relativity, string theory and integrable systems. My research explores the non-perturbative dynamics of gauge and gravity theories by employing techniques such as localization, integrability and holography. Within the domain of mathematical physics, my work investigates  the rich mathematical structures underlying  gauge and string theories. These structures find deep roots in differential geometry, index theory, topology, representation theory, infinite-dimensional algebras and quantum groups: for instance, the partition functions of supersymmetric gauge theories can be interpreted as equivariant indices of transversally elliptic differential operators on orbifolds. Likewise, the scattering matrix governing the behavior of vibrating modes on the worldsheet of strings propagating in anti-de Sitter spacetime corresponds to the intertwiner operator linking representations of coproducts within suitable Hopf algebras. My research also yields critical insights into the realm of quantum gravity as partition functions of a wide class of conformal field theories encode the microscopic entropy of rotating and accelerating black holes, thanks to holography and gauge-gravity dualities.

• Math. Dept.