Prof. Dr. Margherita Disertori

My research domain lays at the boundary between physics and mathematics. On one hand the problems I study are generally inspired by physics (mainly condensed matter physics and equilibrium statistical mechanics) and many of the techniques I use are imported from physics too. On the other hand my job is to transform these techniques into rigorous mathematical proofs. For that purpose I use a mixture of analytical and algebraic tools: complex analysis and saddle point methods, multiscale analysis, cluster and contour expansions for functions of many variables, functional analysis on Grassman algebras, harmonic analysis on surfaces. Main research lines: Quantum diffusion and random walk in a random environment Random matrices for disordered conductors Order/disorder transitions in classical statistical mechanics systems Constructive renormalization for interactiong fermions Non commutative quantum field theory.

Link to research:  https://www.hcm.uni-bonn.de/de/people/profile/margherita-disertori/