2019-01439 - PhD Position F/M [AROMATH] POEMA-Polynomial Optimization, Efficiency through Moments and Algebra - Phd position on Group theoretic polynomial bases for global optimization

Contract type : Public service fixed-term contract

Level of qualifications required : Graduate degree or equivalent

Fonction : PhD Position

About the research centre or Inria department

The Inria Sophia Antipolis - Méditerranée center counts 37 research teams and 9 support departments. The center's staff (about 600 people including 400 Inria employees) is composed of scientists of different nationalities (250 foreigners of 50 nationalities), engineers, technicians and administrators. 1/3 of the staff are civil servants, the others are contractual. The majority of the research teams at the center are located in Sophia Antipolis and Nice in the Alpes-Maritimes. Six teams are based in Montpellier and a team is hosted by the computer science department of the University of Bologna in Italy. The Center is a member of the University and Institution Community (ComUE) "Université Côte d'Azur (UCA)".


POEMA is a Marie Skłodowska-Curie Innovative Training Network (2019-2022), offering PhD positions starting from September 2019.

Its goal is to train scientists at the interplay of algebra, geometry and computer science for polynomial optimization problems and to foster scientific and technological advances, stimulating interdisciplinary and intersectoriality knowledge exchange between algebraists, geometers, computer scientists and industrial actors facing real-life optimization problems.

The network partners are:

  • Inria, Sophia Antipolis, France, (Bernard Mourrain)
  • CNRS, LAAS, Toulouse France (Didier Henrion)
  • Sorbonne Université, Paris, France (Mohab Safey el Din)
  • NWO-I/CWI, Amsterdam, the Netherlands (Monique Laurent)
  • Univ. Tilburg, the Netherlands (Etienne de Klerk)
  • Univ. Konstanz, Germany (Markus Schweighofer)
  • Univ. degli Studi di Firenze, Italy (Giorgio Ottaviani)
  • Univ. of Birmingham, UK (Mikal Kocvara)
  • Friedrich-Alexander-Universitaet Erlangen, Germany (Michael Stingl)
  • Univ. of Tromsoe, Norway (Cordian Riener)
  • Artelys SA, Paris, France (Arnaud Renaud)

The associate partners are

  • IBM Research, Ireland (Martin Mevissen)
  • NAG, UK (Mike Dewar)
  • RTE, France (Jean Maeght)


The proposed PhD projects are investigating the development of new algebraic and geometric methods combined with computer algebra techniques for global non-linear optimization problems and their applications, in particularly, in smarter cities challenges, urban traffic management, water network management, energy flow control, or environmental monitoring.

The available position at INRIA is:

ESR 10: Group theoretic polynomial bases for global optimization    Advisor: E. Hubert (INRIA, Sophia Antipolis, France)

Main activities

ESR 10: Group theoretic polynomial bases for global optimization    Advisor: E. Hubert (INRIA, Sophia Antipolis, France);


  • Master’s degree in Mathematics, Computer Science or Engineering (or any equivalent diploma).  
  • Being motivated and self-driven, with a developed inclination for computational mathematics, both practical and theoretical.
  • Courses or projects in algebraic computations, numerical analysis, algebraic geometry and/or group representations
  • Fluency in English

Benefits package

  • Subsidized meals
  • Partial reimbursement of public transport costs
  • Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
  • Possibility of teleworking (after 6 months of employment) and flexible organization of working hours
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training
  • Social security coverage


Duration: 36 months
Location: Sophia Antipolis, France
A gross salary of 3,270 €/month, adjusted for their host country, a Mobility Allowance of 600 €/month and, for researchers who have a family, a Family Allowance of 500 €/month.