[Opt-Net] Post-doc position in polynomial optimization at LAAS-CNRS Toulouse

[Didier Henrion]

POST-DOC POSITION (24 MONTHS) - POLYNOMIAL 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 at laas.fr>