15 PhD positions at 11 European partners, on the subject of Polynomial Optimization, Efficiency through Moments and Algebra

POEMA: Polynomial Optimization, Efficiency through Moments and Algebra

POEMA is a Marie Skłodowska-Curie Innovative Training Network (2019-2022), offering 15 PhD positions starting from September 2019.

The goal of the POEMA consortium 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 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. Detailed descriptions of the projects can be found at https://easychair.org/cfp/POEMA-19-22

The POEMA consortium consists  of eleven network partners:

  • 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)

and three associate partners:

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

PhD Topics:

  • ESR 1: Algebraic tools for exact SDP and its variants
    Advisor: M. Safey el Din (Sorbonne University, Paris, France);
  • ESR 2: Exact algorithms for structured polynomial optimization
    Advisor: M. Safey el Din (Sorbonne University, Paris, France);
  • ESR 3: Polynomial optimization problems with symmetry
    Advisor: C. Scheiderer (Univ. of Konstanz, Germany);
  • ESR 4: Hyperbolic polynomials and the Generalized Lax Conjecture
    Advisor: M. Schweighofer (Univ. of Konstanz, Germany);
  • ESR 5: Tensor Decomposition by Vector Bundles tools
    Advisor: G. Ottaviani (Firenze, Italy)
  • ESR 6: Approximation hierarchies for (non-)commutative polynomial optimization
    Advisor: M. Laurent (CWI, Amsterdam, the Nerthelands)
  • ESR 7: Approximation hierarchies for graph parameters
    Advisor: M. Laurent (CWI, Amsterdam, the Nerthelands)
  • ESR 8: Polynomial Optimization Problems in Operations Research and Finance
    Advisor: E. de Klerk (Univ. of Tilburg, the Netherlands)
  • ESR 9: Structure of moment problems and applications to polynomial optimization
    Advisor: B. Mourrain (INRIA, Sophia Antipolis, France);
  • ESR 10: Alternative polynomial bases for global optimization
    Advisor: E. Hubert (INRIA, Sophia Antipolis, France);
  • ESR 11: Numerical cubature with symmetry and applications to polynomial optimisation
    Advisor: C. Riener (Univ. of Tromsoe, Norway);
  • ESR12: Algorithms and software for nonlinear convex conic optimization
    Advisor: M. Stingl (Friedrich Alexander Univ. Erlangen, Germany)
  • ESR 13: Algorithms and software for structured SDP
    Advisor: M. Kocvara (Univ. of Birmingham, UK)
  • ESR 14: Polynomial Optimization: Some challenges from applications
    Advisor: D. Henrion (CNRS, LAAS, Toulouse, France);
  • ESR 15: Polynomial Optimization Techniques for Energy Network Operation and Design
    Advisors: J.-H. Hours, M. Gabay (ARTELYS, Paris, France);

Submission guidelines: To be eligible for one of these PhD positions, the applicant should fulfill the following conditions:

  • Have — at the date of recruitment — a Master’s degree in Computer Science, Mathematics or Engineering (or any equivalent diploma).
  • Should have — at the date of recruitment —  less than 4 years of a research career, and not have a doctoral degree. The 4 years are measured from the date when they obtained the degree which would formally entitle them to embark on a PhD, either in the country where the degree was obtained or in the country where the PhD is provided.
  • Trans-national mobility: The applicant — at the date of recruitment — should not have resided in the country where the research training takes place for more than 12 months in the 3 years immediately prior to recruitment, and not have carried out their main activity (work, studies, etc.) in that country. For refugees under the Geneva Convention (1951 Refugee Convention and the 1967 Protocol), the refugee procedure (i.e. before refugee status is conferred) will not be counted as ‘period of residence/activity in the country of the beneficiary’.
  • Be able to communicate fluently in English (speaking and writing). Oral interview with the prospective advisor may be required.

For details on how to apply please see the POEMA recruiting page.

As explained there, please upload all the required application documents before 15 March 2019 online via https://easychair.org/cfp/POEMA-19-22

To apply for one of these 15 PhD positions  positions, interested candidates must submit at  https://easychair.org/conferences/?conf=poema1922 a document containing

  • a detailed CV including education, work experience, skills, dissertations, research interests, career objectives, names and contact details of two referees (including the supervisor of the master thesis) willing to provide confidential letters of recommendation, and list of publications if any;
  • a letter of motivation regarding the position as well as the POEMA network;
  • a transcript of the master studies’ grades (including the overall grade and an explanation of the grading system) and the master’s thesis if available;
  • and indicate as TITLE your full name,  add 3 KEYWORDS,  and chose the TOPICS you are interested in among the list of 15 PhD topics listed at https://easychair.org/cfp/POEMA-19-22

Contact: All questions about submissions should be emailed to bernard.mourrain@inria.fr.