Our research interests revolve around analytic, geometric, and categorical aspects related to classical and quantum field theory over (pseudo-)Riemannian manifolds. In particular, we are working on:
- Analysis of semiclassical Einstein equations
(Murro, Pinamonti) - Cauchy problems for hyperbolic operators on Lorentzian manifolds
(Murro)
- Construction of ground and thermal states in quantum 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)