Andrew Rout
Current Position: Postdoc -- University of Rennes -- November 2023-2025 (Under the supervision of Zied Ammari)
PhD: 2019-2023 -- University of Warwick (Under the supervision of Vedran Sohinger)
Thesis: Microscopic derivation of Gibbs measures for the focusing one dimensional nonlinear Schrödinger equation
MMath: 2015-2019 -- University of Warwick
Mathematical Physics -- Many body-quantum problems
Dispersive PDEs -- Gibbs measures and well-posedness problems
The relationship between equlibrium measures and many-body quantum mechanics
Preprints
The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on đť•‹^3 (with Ryan L. Acosta Babb). Preprint 2025.
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). Preprint 2023.
Published
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.
Constructor University Mathematical and Theoretical Physics Seminar, Bremen, April 2025
Mathematical Challenges in Quantum Mechanics online seminar, PhD talk, March 2025
Effective Approximation and Dynamics of Many-Body Quantum Systems, Mini-Workshop, Rennes, March 2025
Mathematical Challenges in Quantum Mechanics, L'Aquila, February 2025
Mini-Workshop on Condensed Matter Physics, Garmisch, October 2024
Quantissima V, Venice, August 2024
Warwick Junior Analysis Seminar, June 2024
Journée de printemps de l'IRMAR, Rennes, June 2024
Frontiers in Analysis and Mathematical Physics, Seoul, April 2024 (poster)
Kick-off Meeting of the ANR-DFG project: Effective Approximation and Dynamics of Many-Body Quantum Systems, Metz, August 2023
Many-body quantum problems and dispersive PDEs, Warwick, June 2023