Embedded Files
Background
Background
I am a Postdoc at Politecnico di Milano working with Marco Falconi.
Before coming to Milan, I was a postdoc at the University of Rennes with Zied Ammari. I did my PhD at the University of Warwick under the supervision of Vedran Sohinger. I also obtained my MMath at the University of Warwick.
You can contact me via email: andrewjames[dot]rout[at]polimi[dot]it
Research Interests
Research Interests
Mathematical Physics -- Many body-quantum problems
Dispersive PDEs -- Gibbs measures and well-posedness problems
The relationship between equlibrium measures and many-body quantum mechanics
Papers & Preprints
Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity (with Jinyeop Lee). Preprint 2025.
The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on 𝕋 ³ (with Ryan L. Acosta Babb). Discrete and Continuous Dynamical Systems, Volume 48 (2026), 376-403.
Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations (with Zied Ammari and Vedran Sohinger). Preprint 2024.
A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schrödinger equation (with Vedran Sohinger). SIAM Journal on Mathematical Analysis, Volume 57 (2025), Issue 5, 4680-4755.
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation (with Vedran Sohinger). Communications in Partial Differential Equations 48 (2023), no. 7-8, 1008-1055.
Other Works
Microscopic Derivation of Gibbs Measures for 1D focusing nonlinear Schrödinger equations. (PhD Thesis), Mathematics Institute, University of Warwick. (2023).
Page updated
Google Sites
Report abuse