Mathematical physics is the branch of mathematics dealing with mathematical problems inspired by physics. Our group is interested, in particular, in analytic, geometric, and categorical aspects related to classical and quantum field theory over (pseudo-)Riemannian manifolds. The following are some research topics that we are currently working on:

• Analysis of semiclassical Einstein equations (Murro, Pinamonti)
• Construction of ground and thermal states in field theory (Murro, Pinamonti)
• Geometric, categorical and homotopical aspects of gauge theory (Benini)
• Microlocal analysis of hyperbolic PDEs on Lorentzian manifolds (Murro)
• Noncommutative geometry, spectral triples and optimal transport (Martinetti)
• Quantization of linearized gravity on globally hyperbolic spacetimes (Benini, Murro, Pinamonti)
• Renormalization schemes in perturbative algebraic quantum field theory (Pinamonti)
• Thermal interpretation of the modular hamiltonian (Martinetti, Murro, Pinamonti)

If you want to know more, visit our website: https://mathphys.dima.unige.it/index.php/