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