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POST-DOC POSITION (24 MONTHS) – OPTIMIZATION FOR NETWORK DYNAMICS
Location: LAAS-CNRS, Toulouse, France
Team: Polynomial Optimization (POP)
Project: ANR-DFG MONET (Moment-sum-of-squares Optimization for NETwork dynamics)
Start Date: Early 2026
PROJECT DESCRIPTION:
Join the MONET project, a Franco-German collaboration (LAAS-CNRS & FAU Erlangen-Nürnberg).
We are developing new methods to overcome the scalability barriers of the moment-SOS hierarchy.
The project focuses on networked dynamical systems governed by nonlinear hyperbolic PDEs,
which are critical for applications like gas pipelines, traffic flow, and telecommunication networks.
THE ROLE:
We are seeking a 24-month post-doctoral fellow to bridge theoretical analysis and computational implementation.
Key responsibilities will be drawn from the following:
– Develop new network-adapted moment-SOS hierarchies that exploit sparsity.
– Theoretically analyze these new hierarchies for relaxation gaps.
– Implement space-time decomposition methods (inspired by FEM) to reduce problem size.
– Improve numerical conditioning using interpolation bases and exploit low-rank solution structure.
EXPECTED PROFILE:
We seek a candidate with a PhD in Applied Mathematics, Control Theory, Optimization, or a related field.
The position is flexible and can be tailored to the profiles:
– Analysis-Oriented: Strong background in functional analysis, measure theory, convex optimization,
and (ideally) PDE theory.
– Computation-Oriented: Strong background in numerical methods for optimization (SDP), numerical linear algebra,
and scientific computing (Julia, Matlab, or Python).
WE OFFER:
– A 24-month funded researcher position at LAAS-CNRS, Toulouse, France.
– A dynamic, international research environment.
– Travel budget for conferences and multiple research visits to FAU, Erlangen, Germany.
HOW TO APPLY:
Please send your CV, a cover letter, and contact info for 2-3 references to:
Didier Henrion <henrion@laas.fr>
Call for postdoc candidates interested in applying for a MSCA Postdoctoral Fellowship in Real Algebraic Geometry or Computational Algebra
Applying for an MSCA fellowship at UiT The Arctic University of Norway, please apply at: https://euraxess.ec.europa.eu/jobs/404393